pax_global_header00006660000000000000000000000064136714222540014520gustar00rootroot0000000000000052 comment=3ecc006c6ac104f177aa906be86d976c74922dd3 brain2mesh-0.7.9/000077500000000000000000000000001367142225400135675ustar00rootroot00000000000000brain2mesh-0.7.9/AUTHORS.txt000066400000000000000000000016631367142225400154630ustar00rootroot00000000000000Brain2Mesh is written by ============================================================== Copyright (C) 2011,2017-2020 Qianqian Fang Dr. Qianqian is currently an Assistant Professor in the Department of Bioengineering at Northeastern University. Address: Dept. of Bioengineering Northeastern University 360 Huntington Ave, ISEC 206, Boston, MA 02115, USA URL: http://fanglab.org Email: Brain2Mesh Website : http://mcx.space/brain2mesh =============================================================== Copyright (C) 2017-2018 Anh Phong Tran As a former PhD student in Dr. Fang's lab, Phong wrote the initial version of the brain2mesh, adapted from an earlier script written by Dr. Fang https://github.com/fangq/Colin27BrainMesh/blob/master/colinsmesh_v2.m http://mcx.space/wiki/index.cgi?MMC/Colin27AtlasMesh/Version2 Email: brain2mesh-0.7.9/LICENSE.txt000066400000000000000000001070211367142225400154130ustar00rootroot00000000000000=============================================================================== = Brain2Mesh = = A one-liner for human brain 3D mesh generation = =============================================================================== Copyright (C) 2011,2017-2020 Qianqian Fang Copyright (C) 2017-2018 Anh Phong Tran ------------------------------------------------------------------------------- This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. 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But first, please read . brain2mesh-0.7.9/README.md000066400000000000000000000116151367142225400150520ustar00rootroot00000000000000# Brain2mesh: a one-liner for 3D brain mesh generation * Version: 0.8 * Project Maintainer: Qianqian Fang * Contributors: See AUTHORS.txt for details * Address: * Department of Bioengineering * Northeastern University * 360 Huntington Ave, Boston, MA 02115 * License: GPL v3 or later, see LICENSE.txt * URL: http://mcx.space/brain2mesh ## Introduction The Brain2Mesh toolbox provides a streamlined matlab function to convert a segmented brain volumes and surfaces into a high-quality multi-layered tetrahedral brain/full head mesh. The details of this toolbox is described in the paper listed in the [Reference](#reference) section. This tool does not handle the segmentation of MRI scans, but examples of how commonly encountered segmented datasets can be used to create meshes are available under the `examples` folder. The Brain2Mesh toolbox is also extensively dependent on: 1. Iso2Mesh toolbox (http://iso2mesh.sf.net), not included, download at https://github.com/fangq/iso2mesh 2. MATLAB Image-Processing toolbox (such as `imfill`, `imdilate`) 3. `intriangulation.m` (by Adam Aitkenhead and Johannes Korsawe) ## Overview of the functions The function `brain2mesh` handles the conversion of segmented volumes into high-quality 3D meshes. It takes an 4D array as input, with different assumptions as to the number of layers. Typically, the layers are assumed to contain: white matter (WM), grey matter (GM), cerebrospinal fluid (CSF), bone and scalp. It also is able to handle inputs missing a bone segmentation, and missing bone+scalp segmentation. Patient-specific segmentations can be done using common neuroimaging tools such as FSL, SPM, FreeSurfer and BrainSuite. There also exists series of available atlas databases that offer segmented volumes. In a near future release, scripts will be made available to accomodate the combination of segmented surface meshes such as the ones produced in FreeSurfer and BrainSuite as part of the input data. Another function `brain1020` provides an automated interface to compute head landmarks (10-20/10-5 systems or user-customizable divisions). Users can either interactively select 5 initial landmarks (nasion, inion, left and right ear-lobes, i.e. LPA/RPA, and vertex, i.e. CZ), the function automatically computes all brain landmarks on the scalp surface using user-specified density. Your acknowledgement of Brain2Mesh in your publications or presentations would be greatly appreciated by the authors of this toolbox. The citation information can be found in the Introduction section. ## Reference If you use Brain2Mesh or Brain Mesh Library in your publications, the authors of this toolbox greatly appreciate if you can cite the below paper * Anh Phong Tran†, Shijie Yan†, Qianqian Fang*, (2020) "Improving model-based fNIRS analysis using mesh-based anatomical and light-transport models," Neurophotonics, 7(1), 015008, URL: http://dx.doi.org/10.1117/1.NPh.7.1.015008 ## Acknowledgement This project is funded by the National Institutes of Health (NIH) / National Institute of General Medical Sciences (NIGMS) under the grant number R01-GM114365, and NIH/NINID/NIBIB under the grant number R01-EB026998. ### Copyright disclaimer for `intriangulation.m` Copyright (c) 2016, Johannes Korsawe Copyright (c) 2013, Adam H. Aitkenhead All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution * Neither the name of Volkswagen AG nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. * Neither the name of The Christie NHS Foundation Trust nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. brain2mesh-0.7.9/brain1020.m000066400000000000000000000356441367142225400153570ustar00rootroot00000000000000function [landmarks, curves, initpoints]=brain1020(node, face, initpoints, perc1, perc2, varargin) % % landmarks=brain1020(node, face) % or % landmarks=brain1020(node, face, [], perc1, perc2) % landmarks=brain1020(node, face, initpoints) % landmarks=brain1020(node, face, initpoints, perc1, perc2) % [landmarks, curves, initpoints]=brain1020(node, face, initpoints, perc1, perc2, options) % % compute 10-20-like scalp landmarks with user-specified density on a head mesh % % author: Qianqian Fang (q.fang at neu.edu) % % == Input == % node: full head mesh node list % face: full head mesh element list- a 3-column array defines face list % for the exterior (scalp) surface; a 4-column array defines the % tetrahedral mesh of the full head. % initpoints:(optional) one can provide the 3-D coordinates of the below % 5 landmarks: nz, iz, lpa, rpa, cz0 (cz0 is the initial guess of cz) % initpoints can be a struct with the above landmark names % as subfield, or a 5x3 array definining these points in the above % mentioned order (one can use the output landmarks as initpoints) % perc1:(optional) the percentage of geodesic distance towards the rim of % the landmarks; this is the first number of the 10-20 or 10-10 or % 10-5 systems, in this case, it is 10 (for 10%). default is 10. % perc2:(optional) the percentage of geodesic distance twoards the center % of the landmarks; this is the 2nd number of the 10-20 or 10-10 or % 10-5 systems, which are 20, 10, 5, respectively, default is 20 % options: one can add additional 'name',value pairs to the function % call to provide additional control. Supported optional names % include % 'display' : [1] or 0, if set to 1, plot landmarks and curves % 'cztol' : [1e-6], the tolerance for searching cz that bisects % saggital and coronal reference curves % 'maxcziter' : [10] the maximum number of iterations to update % cz to bisect both cm and sm curves % 'baseplane' : [1] or 0, if set to 1, create the reference % curves along the primary control points (nz,iz,lpa,rpa) % 'minangle' : [0] if set to a positive number, this specifies % the minimum angle (radian) between adjacent segments in % the reference curves to avoid sharp turns (such as the % dips near ear canals), this parameter will be % passed to polylinesimplify to simplify the curve first. % Please be noted that the landmarks generated with % simplified curves may not land exactly on the surface. % % == Output == % landmarks: a structure storing all computed landmarks. The subfields % include two sections: % 1) 'nz','iz','lpa','rpa','cz': individual 3D positions defining % the 5 principle reference points: nasion (nz), inion (in), % left-pre-auricular-point (lpa), right-pre-auricular-point % (rpa) and vertex (cz) - cz is updated from initpoints to bisect % the saggital and coronal ref. curves. % 2) landmarks along specific cross-sections, each cross section % may contain more than 1 position. The cross-sections are % named in the below format: % 2.1: a fieldname starting from 'c', 's' and 'a' indicates % the cut is along coronal, saggital and axial directions, % respectively; % 2.2: a name starting from 'pa' indicates the cut is along the % axial plane acrossing principle reference points % 2.3: the following letter 'm', 'a','p' suggests the 'medial', % 'anterior' and 'posterior', respectively % 2.4: the last letter 'l' or 'r' suggests the 'left' and % 'right' side, respectively % 2.5: non-medial coronal cuts are divided into two groups, the % anterior group (ca{l,r}) and the posterior group % (cp{lr}), with a number indicates the node spacing % stepping away from the medial plane. % % for example, landmarks.cm refers to the landmarks along the % medial-coronal plane, anterior-to-posteior order % similarly, landmarks.cpl_3 refers to the landmarks along the % coronal (c) cut plane located in the posterior-left side % of the head, with 3 saggital landmark spacing from the % medial-coronal reference curve. % curves: a structure storing all computed cross-section curves. The % subfields are named similarly to landmarks, except that % landmarks stores the 10-? points, and curves stores the % detailed cross-sectional curves % initpoints: a 5x3 array storing the principle reference points in the % orders of 'nz','iz','lpa','rpa','cz' % % % == Example == % See brain2mesh/examples/SPM_example_brain.m for an example % https://github.com/fangq/brain2mesh/blob/master/examples/SPM_example_brain.m % % == Dependency == % This function requires a pre-installed Iso2Mesh Toolbox % Download URL: http://github.com/fangq/iso2mesh % Website: http://iso2mesh.sf.net % % == Reference == % If you use this function in your publication, the authors of this toolbox % apprecitate if you can cite the below paper % % Anh Phong Tran, Shijie Yan and Qianqian Fang, "Improving model-based % fNIRS analysis using mesh-based anatomical and light-transport models," % Neurophotonics, 7(1), 015008, 2020 % URL: http://dx.doi.org/10.1117/1.NPh.7.1.015008 % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<2) error('one must provide a head-mesh to call this function'); end if(isempty(node) || isempty(face) || size(face,2)<=2 || size(node,2)<3) error('input node must have 3 columns, face must have at least 3 columns'); end if(nargin<5) perc2=20; if(nargin<4) perc1=10; if(nargin<3) initpoints=[]; end end end % parse user options opt=varargin2struct(varargin{:}); showplot=jsonopt('display',1,opt); baseplane=jsonopt('baseplane',1,opt); tol=jsonopt('cztol',1e-6,opt); dosimplify=jsonopt('minangle',0,opt); maxcziter=jsonopt('maxcziter',10,opt); % convert initpoints input to a 5x3 array if(isstruct(initpoints)) initpoints=struct('nz', initpoints.nz(:).','iz', initpoints.iz(:).',... 'lpa',initpoints.lpa(:).','rpa',initpoints.rpa(:).',... 'cz', initpoints.cz(:).'); landmarks=initpoints; if(exist('struct2array','file')) initpoints=struct2array(initpoints); initpoints=reshape(initpoints(:),3,length(initpoints(:))/3)'; else initpoints=[initpoints.nz(:).'; initpoints.iz(:).';initpoints.lpa(:).';initpoints.rpa(:).';initpoints.cz(:).']; end end % convert tetrahedral mesh into a surface mesh if(size(face,2)>=4) face=volface(face(:,1:4)); end % remove nodes not located in the surface [node,face]=removeisolatednode(node,face); % if initpoints is not sufficient, ask user to interactively select nz, iz, lpa, rpa and cz first if(isempty(initpoints) || size(initpoints,1)<5) hf=figure; plotmesh(node,face); set(hf,'userdata',initpoints); if(~isempty(initpoints)) hold on; plotmesh(initpoints,'gs', 'LineWidth',4); end idx=size(initpoints,1)+1; landmarkname={'Nasion','Inion','Left-pre-auricular-point','Right-pre-auricular-point','Vertex/Cz','Done'}; title(sprintf('Rotate the mesh, select data cursor, click on P%d: %s',idx, landmarkname{idx})); rotate3d('on'); set(datacursormode(hf),'UpdateFcn',@myupdatefcn); end % wait until all 5 points are defined if(exist('hf','var')) try while(size(get(hf,'userdata'),1)<5) pause(0.1); end catch error('user aborted'); end datacursormode(hf,'off'); initpoints=get(hf,'userdata'); close(hf); end if(showplot) disp(initpoints); end % save input initpoints to landmarks output, cz is not finalized if(size(initpoints,1)>=5) landmarks=struct('nz', initpoints(1,:),'iz', initpoints(2,:),... 'lpa',initpoints(3,:),'rpa',initpoints(4,:),... 'cz', initpoints(5,:)); end % at this point, initpoints contains {nz, iz, lpa, rpa, cz0} % plot the head mesh if(showplot) figure; hp=plotmesh(node,face,'facealpha',0.6,'facecolor',[1 0.8 0.7]); if(~isoctavemesh) set(hp,'linestyle','none'); end camlight; lighting gouraud hold on; end lastcz=[1 1 1]*inf; cziter=0; %% Find cz that bisects cm and sm curves within a tolerance, using UI 10-10 approach while(norm(initpoints(5,:)-lastcz)>tol && cziter % Other contributors: see AUTHORS.txt for details % Version: 0.8 % URL: http://mcx.space/brain2mesh % License: GPL version 3 % Reference: % Anh Phong Tran, Shijie Yan and Qianqian Fang, "Improving model-based % fNIRS analysis using mesh-based anatomical and light-transport models," % Neurophotonics, 7(1), 015008, URL: http://dx.doi.org/10.1117/1.NPh.7.1.015008 % % == Format == % [node,elem,face] = brain2mesh(seg) % or % [node,elem,face] = brain2mesh(seg,cfg); % % == Input == % seg: pre-segmented brain volume (supporting both probalistic tissue % segmentation and labeled volume). Two formats are accepted % 1. a structure with subfields (wm,gm,csf,skull,scalp) % e.g.: seg.wm, seg.gm, seg.csf represents the white-matter, % gray-matter and csf segmentaions, respectively, % or % 2. a 4D array for with tissued sorted in outer-to-inner order % the 4th dimension of the array can 3-6, with the following assumptions % size(seg,4) == 6 assumes 1-Scalp, 2-Skull, 3-CSF, 4-GM, 5-WM, 6-air pockets % size(seg,4) == 5 assumes 1-Scalp, 2-Skull, 3-CSF, 4-GM, 5-WM % size(seg,4) == 4 assumes 1-Scalp, 2-CSF, 3-GM, 4-WM % size(seg,4) == 3 assumes 1-CSF, 2-GM, 3-WM % % cfg: a struct defining the options for the resulting tetrahedral mesh % default values are applied if field is not defined % cfg.radbound.{wm,gm,csf,skull,scalp} % Radius of the Delaunay sphere used in the sampling the surfaces. % Default values are 1.7, 1.7, 2, 2.5 and 3, respectively (reference values for 1x1x1mm^3) % Scale proportionally for denser volumes. Lower values correspond to denser, higher % fidelity surface extraction, but also results in denser meshes. % cfg.maxnode: [100000] - when the value cfg.sampling__ creates surfaces that are too % dense. This limits the maximum of number of nodes extracted for a given surface. % cfg.maxvol: [100] indicates the volumetric maximum size of elements % Lowering this value helps with obtaining a denser tetrahedral % mesh. For dense meshes, values close to 3-5 are recommended. % cfg.smooth: [0] - number of iterations to smooth each tissue surface % cfg.ratio: [1.414] radius-edge ratio. Lower values increase % the quality of tetrahedral elements, but results in denser meshes % cfg.dorelabel: [0] or 1 - This step removes most of the assumptions % created by the layered meshing workflow. Currently only works if all five tissue types are present. % When deactivated, a 1 voxel length gap is assumed between each of the tissue layers. % cfg.doairseg: 0 or [1]. Within the skull layer, additional segmentations can be found. % By default, these regions are merged to the skull because they can be ambiguously be % vessels or air. When the option 1 is chosen, these regions are labeled as air instead. % cfg.dotruncate: 0 or [1]. by default, the mesh is truncated a few pixel in the % +z direction below the lowest pixel containing CSF to focus on the brain areas. % A value of 0 gives a complete head mesh. % cfg.imfill: ['imfill'], 'mri_fillholes' etc, the function name % for 3D image hole-filling function, default is imfill, % requires MATLAB image processing toolbox or octave-image % toolbox % % == Outputs == % node: node coordinates of the tetrahedral mesh % elem: element list of the tetrahedral mesh / the last column denotes the boundary ID % face: mesh surface element list of the tetrahedral mesh % % Tissue ID for the outputs are as follow: % 0-Air/background, 1-Scalp, 2-Skull, 3-CSF, 4-GM, 5-WM, 6-air pockets % % == Reference == % If you use Brain2Mesh in your publication, the authors of this toolbox % apprecitate if you can cite our Neurophotonics paper listed above. % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % %% Handling the inputs if nargin == 0 help brain2mesh return; end if(~exist('v2m','file')) error('Missing dependency. You must download and addpath to Iso2Mesh Toolbox, URL: https://github.com/fangq/iso2mesh') end if(~exist('imfill','file')) error('Missing dependency. You must install MATLAB image processing toolbox') end if(~exist('intriangulation','file')) error('Missing dependency. You must download and addpath to intriangulation.m, URL: https://www.mathworks.com/matlabcentral/fileexchange/43381-intriangulation-vertices-faces-testp-heavytest') end density=struct('wm',2,'gm',2,'csf',5,'skull',4,'scalp',8); adaptiveness=struct('wm',1,'gm',1,'csf',1,'skull',1,'scalp',1); cfg=varargin2struct(varargin{:}); radbound=jsonopt('radbound',density,cfg); distbound=jsonopt('distbound',adaptiveness,cfg); qratio=jsonopt('ratio',1.414,cfg); %sizefield=jsonopt('sizefield',100,cfg); maxvol=jsonopt('maxvol',100,cfg); maxnode=jsonopt('maxnode',100000,cfg); dotruncate=jsonopt('dotruncate',1,cfg); dorelabel=jsonopt('dorelabel',0,cfg); doairseg=jsonopt('doairseg',1,cfg); threshold=jsonopt('threshold',0.5,cfg); smooth=jsonopt('smooth',0,cfg); surfonly=jsonopt('surfonly',0,cfg); segname=fieldnames(density); imfillstr=jsonopt('imfill','imfill',cfg); imfillparam='holes'; imfill3d=str2func(imfillstr); if isstruct(seg) tpm = seg; elseif(ndim(seg)==4) for i=1:size(seg,4) tpm.(segname{i})=seg(:,:,:,i); end else fprintf('This seg input is currently not supported \n') end % normalizing segmentation inputs to 0-1 normalizer=@(x) double(x)*( ~isinteger(x) + (isinteger(x))*(1/double(cast(inf,class(x)))) ); tpm=structfun(normalizer, tpm,'UniformOutput',false); opt=struct; for i = 1:size(fieldnames(tpm)) opt(i).maxnode = maxnode; if(isfield(radbound,segname{i})) opt(i).radbound= radbound.(segname{i}); end opt(i).distbound= distbound.(segname{i}); end cube3=true(3,3,3); %% Pre-processing steps to create separations between the tissues in the % volume space dim = size(tpm.wm); tpm.wm = imfill3d(tpm.wm>0,imfillparam); p_wm = tpm.wm; p_pial = p_wm+tpm.gm; p_pial = max(p_pial,imdilate(p_wm,cube3)); p_pial = imfill3d(p_pial>0,imfillparam); expandedGM = p_pial - tpm.wm - tpm.gm; expandedGM = imdilate(expandedGM,cube3); if(isfield(tpm,'csf')) p_csf = p_pial+tpm.csf; p_csf(p_csf>1) = 1; p_csf = max(p_csf,imdilate(p_pial,cube3)); expandedCSF = p_csf - tpm.wm - tpm.gm - tpm.csf - expandedGM; expandedCSF = imdilate(expandedCSF,cube3); end if isfield(tpm,'skull') && isfield(tpm,'scalp') && isfield(tpm,'csf') p_bone = p_csf + tpm.skull; p_bone(p_bone>1) = 1; p_bone = max(p_bone,imdilate(p_csf,cube3)); p_skin = p_bone + tpm.scalp; p_skin(p_skin>1) = 1; p_skin = max(p_skin,imdilate(p_bone,cube3)); expandedSkull = p_bone - tpm.wm - tpm.gm - tpm.csf - tpm.skull - expandedCSF - expandedGM; expandedSkull = imdilate(expandedSkull,cube3); elseif isfield(tpm,'scalp') && ~isfield(tpm,'skull') p_skin = p_csf + tpm.scalp; p_skin(p_skin>1) = 1; p_skin = max(p_skin,imdilate(p_csf,cube3)); elseif isfield(tpm,'skull') && ~isfield(tpm,'scalp') p_bone = p_csf + tpm.skull; p_bone(p_bone>1) = 1; p_bone = max(p_bone,imdilate(p_csf,cube3)); end %% Grayscale/Binary extractions of the surface meshes for the different % tissues thresh=0.5; if(~isstruct(threshold)) thresh=threshold; end [wm_n,wm_f] = v2s(p_wm,jsonopt('wm',thresh,threshold),opt(1),'cgalsurf'); [pial_n,pial_f] = v2s(p_pial,jsonopt('gm',thresh,threshold),opt(2),'cgalsurf'); [wm_n,wm_f]=meshcheckrepair(wm_n,wm_f(:,1:3),'isolated'); [pial_n,pial_f]=meshcheckrepair(pial_n,pial_f(:,1:3),'isolated'); if(isfield(tpm,'csf')) [csf_n,csf_f] = v2s(p_csf,jsonopt('csf',thresh,threshold),opt(3),'cgalsurf'); [csf_n,csf_f]=meshcheckrepair(csf_n,csf_f(:,1:3),'isolated'); end if isfield(tpm,'skull') optskull=struct('radbound',radbound.skull,'maxnode',maxnode); [bone_n,bone_f] = v2s(p_bone,jsonopt('skull',thresh,threshold),optskull,'cgalsurf'); [bone_node,el_bone] = s2m(bone_n,bone_f,1.0,maxvol,'tetgen1.5',[],[],'-A'); for i = 1:length(unique(el_bone(:,5))) vol_bone(i) = sum(elemvolume(bone_node,el_bone(el_bone(:,5)==i,1:4))); end [maxval,I] = max(vol_bone); if (length(unique(el_bone(:,5)))>1) no_air2 = bone_node; el_air2 = el_bone(el_bone(:,5)~=I,:); [no_air2,el_air2]=removeisolatednode(no_air2,el_air2); f_air2 = volface(el_air2(:,1:4)); end bone_n2 = bone_node; [bone_f2] = volface(el_bone(:,1:4)); bone_f2 = removedupelem(bone_f2); [bone_n2,bone_f2]=removeisolatednode(bone_n2,bone_f2); if doairseg == 0 bone_n = bone_n2; bone_f = bone_f2; end end if isfield(tpm,'scalp') optscalp=struct('radbound',radbound.scalp,'maxnode',maxnode); [skin_n,skin_f] = v2s(p_skin,jsonopt('scalp',thresh,threshold),optscalp,'cgalsurf'); end if(isstruct(smooth) || smooth>0) scount=0; if(~isstruct(smooth)) scount=smooth; end if(jsonopt('wm',scount,smooth)>0) wm_n=sms(wm_n,wm_f(:,1:3),jsonopt('wm',scount,smooth),0.5,'lowpass'); [wm_n,wm_f]=meshcheckrepair(wm_n,wm_f(:,1:3),'meshfix'); end if(jsonopt('gm',scount,smooth)>0) pial_n=sms(pial_n,pial_f(:,1:3),jsonopt('gm',scount,smooth),0.5,'lowpass'); [pial_n,pial_f]=meshcheckrepair(pial_n,pial_f(:,1:3),'meshfix'); end if(isfield(tpm,'csf') && jsonopt('csf',scount,smooth)>0) csf_n=sms(csf_n,csf_f(:,1:3),jsonopt('csf',scount,smooth),0.5,'lowpass'); [csf_n,csf_f]=meshcheckrepair(csf_n,csf_f(:,1:3),'meshfix'); end if(isfield(tpm,'skull') && jsonopt('skull',scount,smooth)>0) bone_n=sms(bone_n,bone_f(:,1:3),jsonopt('skull',scount,smooth),0.5,'lowpass'); [bone_n,bone_f]=meshcheckrepair(bone_n,bone_f(:,1:3),'meshfix'); end if(isfield(tpm,'scalp') && jsonopt('scalp',scount,smooth)>0) skin_n=sms(skin_n,skin_f(:,1:3),jsonopt('scalp',scount,smooth),0.5,'lowpass'); [skin_n,skin_f]=meshcheckrepair(skin_n,skin_f(:,1:3),'meshfix'); end end if(surfonly==1) wm_f(:,4)=1; pial_f(:,4)=2; [brain_n,brain_el]=mergemesh(wm_n,wm_f,pial_n,pial_f); if(isfield(tpm,'csf')) csf_f(:,4)=3; [brain_n,brain_el]=mergemesh(brain_n,brain_el,csf_n,csf_f); if(isfield(tpm,'skull')) bone_f(:,4)=4; [brain_n,brain_el]=mergemesh(brain_n,brain_el,bone_n,bone_f); if(isfield(tpm,'scalp')) skin_f(:,4)=5; [brain_n,brain_el]=mergemesh(brain_n,brain_el,skin_n,skin_f); end end end [labels,ia,ib]=unique(brain_el(:,4)); labels=5:-1:(5-length(labels)+1); brain_el(:,4)=labels(ib); brain_f=[]; return; end %% Main loop for the meshing pipeline to combine the individual surface % meshes or each of the tissues and to generate the detailed 3D tetrahedral % mesh of the brain/head for loop = 1:2 %% If the first pass fails, a second pass is called using the decoupled function % to eliminate intersections between surface meshes if (loop==2) && (exist('label_elem','var')) continue; end if (loop==2) && (~exist('label_elem','var')) if(exist('bone_n','var') && exist('skin_n','var')) [bone_n,bone_f] = surfboolean(bone_n(:,1:3),bone_f(:,1:3),'decouple',skin_n(:,1:3),skin_f(:,1:3)); end if(exist('bone_n','var') && exist('csf_n','var')) [csf_n,csf_f] = surfboolean(csf_n(:,1:3),csf_f(:,1:3),'decouple',bone_n(:,1:3),bone_f(:,1:3)); end if(exist('pial_n','var') && exist('csf_n','var')) [pial_n,pial_f] = surfboolean(pial_n(:,1:3),pial_f(:,1:3),'decouple',csf_n(:,1:3),csf_f(:,1:3)); end if(exist('pial_n','var') && exist('wm_n','var')) [wm_n,wm_f] = surfboolean(wm_n(:,1:3),wm_f(:,1:3),'decouple',pial_n(:,1:3),pial_f(:,1:3)); end end if isfield(tpm,'wm') && isfield(tpm,'gm') [surf_n,surf_f] = surfboolean(wm_n(:,1:3),wm_f(:,1:3),'resolve',pial_n,pial_f); end if isfield(tpm,'csf') [surf_n,surf_f] = surfboolean(surf_n,surf_f,'resolve',csf_n,csf_f); end if isfield(tpm,'skull') [surf_n,surf_f] = surfboolean(surf_n,surf_f,'resolve',bone_n,bone_f); end if isfield(tpm,'scalp') [surf_n,surf_f] = surfboolean(surf_n,surf_f,'resolve',skin_n,skin_f); end final_surf_n=surf_n; final_surf_f=surf_f; if(surfonly==2) brain_n=final_surf_n; brain_el=final_surf_f; brain_f=[]; return; end %% If the whole head option is deactivated, the cut is made at the base of the brain using a box cutting if (dotruncate==1) dim=max(surf_n); if isfield(tpm,'csf') dim2 = min(csf_n); else dim2 = min(surf_n); end [nbox,fbox,ebox]=meshabox([-1 -1 dim2(3)+4.1],[dim(1)+1 dim(2)+1 dim(3)+1],500); fbox=volface(ebox); [nbox,fbox]=removeisolatednode(nbox,fbox); [final_surf_n,final_surf_f] = surfboolean(nbox,fbox(:,[1 3 2]),'first',surf_n,surf_f); end if(surfonly==3) brain_n=final_surf_n; brain_el=final_surf_f; brain_f=[]; return; end %% Generates a coarse tetrahedral mesh of the combined tissues try [final_n,final_e] = s2m(final_surf_n,final_surf_f,1.0,maxvol,'tetgen1.5',[],[],'-A'); catch fprintf('volumetric mesh generation failed, returning the intermediate surface model only'); brain_n=final_surf_n; brain_f=final_surf_f; brain_el=[]; return; end %% Removes the elements that are part of the box, but not the brain/head if (dotruncate == 1) [maxval, M] = max(final_n); k = find(final_e(:,1:4)==M(3),1); final_e = final_e(final_e(:,5)~=final_e(rem(k,length(final_e(:,1))),5),:); [final_n,final_e]=removeisolatednode(final_n,final_e); end %% Here the labels created through the coarse mesh generated through Tetgen are saved % with the centroid of one of the elements for intriangulation seg(:,:,:,1)testing later [label, label_elem] = unique(final_e(:,5)); label_centroid=meshcentroid(final_n,final_e(label_elem,1:4)); if isfield(tpm,'scalp') [no_skin,el_skin] = s2m(skin_n,skin_f,1.0,maxvol,'tetgen1.5',[],[],'-A'); for i = 1:length(unique(el_skin(:,5))) vol_skin(i) = sum(elemvolume(no_skin,el_skin(el_skin(:,5)==i,1:4))); end [maxval,I] = max(vol_skin); if (length(unique(el_skin(:,5)))>1) no_air = no_skin; el_air = el_skin(el_skin(:,5)~=I,:); [no_air,el_air]=removeisolatednode(no_air,el_air); f_air = volface(el_air(:,1:4)); f_air = removedupelem(f_air); end el_skin = el_skin(el_skin(:,5)==I,:); [no_skin,el_skin]=removeisolatednode(no_skin,el_skin); [f_skin] = volface(el_skin(:,1:4)); f_skin=removedupelem(f_skin); end %% When the label_elem does not exist, it often indicates a failure at the generation of a coarse % tetrahedral mesh. The alternative meshing pathway using decoupling is then called to make a % second attempt at creating the combined tetrahedral mesh. if (~exist('label_elem'))&& (loop==1) fprintf('Initial meshing procedure failed. The option parameter might need to be adjusted. \n') fprintf('Activating alternative meshing pathway... \n') pause(2) continue; end %% The labels are given to each of the tissues % WM(1) - GM(2) - CSF(3) - Bone(4) - Scalp(5) - Air(6) newlabel = zeros(length(label_elem),1); if (exist('bone_n') && exist('no_air2')) newlabel= intriangulation(no_air2,f_air2(:,1:3),label_centroid); end if (exist('no_skin') && exist('no_air')) newlabel= newlabel | intriangulation(no_air,f_air(:,1:3),label_centroid); end newlabel=double(newlabel); idx=find(newlabel==0); newtag=zeros(length(idx),1); newtag=intriangulation(wm_n,wm_f(:,1:3),label_centroid(idx,:))*6; newtag=max(newtag,intriangulation(pial_n,pial_f(:,1:3),label_centroid(idx,:))*5); if(exist('csf_n','var')) newtag=max(newtag,intriangulation(csf_n,csf_f(:,1:3),label_centroid(idx,:))*4); end if(exist('bone_n2','var')) newtag=max(newtag,intriangulation(bone_n2,bone_f2(:,1:3),label_centroid(idx,:))*3); end if(exist('no_skin','var')) newtag=max(newtag,intriangulation(no_skin,f_skin(:,1:3),label_centroid(idx,:))*2); end newlabel(idx)=newtag; newlabel=7-newlabel; final_e(:,5)=newlabel(final_e(:,5)); %% This step consolidates adjacent labels of the same tissue new_label = unique(final_e(:,5)); face = []; for i = 1:length(new_label) face = [face; volface(final_e(final_e(:,5)==new_label(i),1:4))]; end face = sort(face,2); face = unique(face,'rows'); [node,face] = removeisolatednode(final_n,face); %% The final mesh is generated here with the desired properties cmdopt = sprintf('-A -pq%fa%f',qratio,maxvol); %node(:,4) = sizefield(:).*ones(length(node(:,1)),1); [brain_n,brain_el] = s2m(node,face,1.0,maxvol,'tetgen1.5',[],[],cmdopt); [label2, label_brain_el] = unique(brain_el(:,5)); label_centroid2=meshcentroid(brain_n,brain_el(label_brain_el,1:4)); %% The labeling process is repeated for the final mesh % WM(1) - GM(2) - CSF(3) - Bone(4) - Scalp(5) - Air(6) newlabel = zeros(length(label_brain_el),1); if (exist('bone_n') && exist('no_air2')) newlabel= intriangulation(no_air2,f_air2(:,1:3),label_centroid2); end if (exist('no_skin') && exist('no_air')) newlabel= newlabel | intriangulation(no_air,f_air(:,1:3),label_centroid2); end newlabel=double(newlabel); idx=find(newlabel==0); newtag=zeros(length(idx),1); newtag=intriangulation(wm_n,wm_f(:,1:3),label_centroid2(idx,:))*6; newtag=max(newtag,intriangulation(pial_n,pial_f(:,1:3),label_centroid2(idx,:))*5); if(exist('csf_n','var')) newtag=max(newtag,intriangulation(csf_n,csf_f(:,1:3),label_centroid2(idx,:))*4); end if(exist('bone_n2','var')) newtag=max(newtag,intriangulation(bone_n2,bone_f2(:,1:3),label_centroid2(idx,:))*3); end if(exist('no_skin','var')) newtag=max(newtag,intriangulation(no_skin,f_skin(:,1:3),label_centroid2(idx,:))*2); end newlabel(idx)=newtag; newlabel=7-newlabel; brain_el(:,5)=newlabel(brain_el(:,5)); end %% Relabeling step to remove layered assumptions if dorelabel == 1 && (isfield(tpm,'skull') && isfield(tpm,'scalp')) centroid = meshcentroid(brain_n(:,1:3),brain_el(:,1:4));centroid = ceil(centroid); tag = zeros(length(brain_el(:,1)),1); facenb = faceneighbors(brain_el(:,1:4)); for i = 1:length(brain_el(:,1)) if (expandedGM(centroid(i,1),centroid(i,2),centroid(i,3))>0.5) && (brain_el(i,5) == 2) if tpm.scalp(centroid(i,1),centroid(i,2),centroid(i,3)) > 0.5 brain_el(i,5) = 5; elseif tpm.skull(centroid(i,1),centroid(i,2),centroid(i,3)) > 0.5 brain_el(i,5) = 4; else brain_el(i,5) = 3; end tag(i) = 1; for j = 1:4 if facenb(i,j) > 0 tag(facenb(i,j),1) = 1; end end elseif (expandedCSF(centroid(i,1),centroid(i,2),centroid(i,3))>0.5) && (brain_el(i,5) == 3) if tpm.scalp(centroid(i,1),centroid(i,2),centroid(i,3)) > 0.5 brain_el(i,5) = 5; else brain_el(i,5) = 4; end brain_el(i,5) = 4; tag(i) = 1; for j = 1:4 if facenb(i,j) > 0 tag(facenb(i,j),1) = 1; end end elseif (expandedSkull(centroid(i,1),centroid(i,2),centroid(i,3))>0.5) && (brain_el(i,5) == 4) brain_el(i,5) = 5; tag(i) = 1; for j = 1:4 if facenb(i,j) > 0 tag(facenb(i,j),1) = 1; end end end end labels = zeros(length(brain_el(:,1)),4); labels2 = zeros(length(brain_el(:,1)),6); for i = 1:length(brain_el(:,1)) for j = 1:4 if facenb(i,j) > 0 labels(i,j) = brain_el(facenb(i,j),5); labels2(i,labels(i,j)) = labels2(i,labels(i,j)) + 1; else labels(i,j) = 0; end end end [labels(:,5),labels(:,6)] = max(labels2,[],2); for i = 1:length(brain_el(:,1)) if tag(i) == 1 if (labels(i,5) > 2) && (brain_el(i,5) ~= labels(i,6)) brain_el(i,5) = labels(i,6); end end end end brain_el(:,5) = 6 - brain_el(:,5); if(nargout>2) brain_f=layersurf(brain_el); end brain2mesh-0.7.9/closestnode.m000066400000000000000000000012461367142225400162720ustar00rootroot00000000000000function [idx, dist]=closestnode(node,p) % % [idx, dist]=closestnode(node,p) % % Find the closest point in a node list and return its index % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: each row is an N-D node coordinate % p: a given position in the same space % % output: % idx: the index of the position in the node list that has the shortest % Euclidean distance to the position p % dist: the distances between p and each node % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % dd=node-repmat(p,size(node,1),1); [dist,idx]=min(sum(dd.*dd,2)); brain2mesh-0.7.9/examples/000077500000000000000000000000001367142225400154055ustar00rootroot00000000000000brain2mesh-0.7.9/examples/SPM_example_brain.m000066400000000000000000000032401367142225400211070ustar00rootroot00000000000000clear %% Dependencies: brain2mesh, iso2mesh, and zmat (http://github.com/fangq/zmat) %% Reading in data from c1-c5 SPM segmentations using a 4D array % the SPM segmentation files are stored in the text-based JNIfTI format % (.jnii) as defined in the JNIfTI file specification % https://github.com/fangq/jnifti/ names={'gm','wm','csf','skull','scalp','air'}; for i = 1:5 A = loadjnifti(sprintf('jnii/c%iANTS19-5Years_head.jnii',i)); dim = size(A.NIFTIData); seg.(names{i}) = A.NIFTIData; end %% call brain2mesh to create multi-layered brain mesh; cfg.smooth performs 10-iter. surface smoothing cfg.dotruncate = 1; %cfg.smooth=8; % apply smoothing to all surfaces, use a struct to smooth each %cfg.radbound=struct('scalp',10,'skull',10,'csf',10,'gm',5,'wm',5); % set mesh density per layer tic [node,elem,face] = brain2mesh(seg, cfg); toc %% call brain1020 to create the 10-5 landmarks on the scalp initpoints=[ 87.4123 188.5120 93.7087 87.4360 5.9213 116.0523 21.1737 93.9561 84.9446 159.6440 89.8472 86.3139 91.2203 104.7490 213.7747]; headsurf=volface(elem(:,1:4)); tic; [landmarks, curves]=brain1020(node, headsurf, initpoints, 10,5,'cztol',1e-8, 'minangle', 0.75*pi); toc view([-0.6 1.5 0.6]); %% Plotting of the result plotmesh(node,elem(elem(:,5)==5,:),'FaceColor',[1 1 1]) %%wm hold on; plotmesh(node,elem(elem(:,5)==4,:),'x>78| y<110','FaceColor',[0.35 0.35 0.35]) %%pial plotmesh(node,elem(elem(:,5)==3,:),'x>78 | z<135','FaceColor',[0.2 0.6 1]) %%csf plotmesh(node,elem(elem(:,5)==2,:),'x>90 | z<130','FaceColor',[1 1 0.9]) %%bone plotmesh(node,elem(elem(:,5)==1,:),'x>100 | z<125','FaceColor',[1 0.8 0.7]) %%scalp view([-0.6 1.5 0.6])brain2mesh-0.7.9/examples/SPM_example_wholehead.m000066400000000000000000000030251367142225400217550ustar00rootroot00000000000000clear %% Dependencies: brain2mesh, iso2mesh, and zmat (http://github.com/fangq/zmat) %% Reading in data from c1-c5 SPM segmentations % the SPM segmentation files are stored in the text-based JNIfTI format % (.jnii) as defined in the JNIfTI file specification % https://github.com/fangq/jnifti/ names={'gm','wm','csf','skull','scalp','air'}; for i = 1:5 A = loadjnifti(sprintf('jnii/c%iANTS40-44Years_head.jnii',i)); dim = size(A.NIFTIData); seg.(names{i}) = A.NIFTIData; end %% call brain2mesh to create multi-layered brain mesh; dotruncate cuts the mesh below brain cfg.smooth=10; tic [node,elem,face] = brain2mesh(seg,cfg); toc %% call brain1020 to create the 10-5 landmarks on the scalp initpoints=[ 86.4888 191.1470 100.8055 82.8704 1.2961 114.1993 15.1882 93.7385 71.0191 158.4230 90.3180 77.2665 83.7306 102.2434 207.2162]; headsurf=volface(elem(:,1:4)); tic; [landmarks, curves]=brain1020(node, headsurf, initpoints, 10,10,'cztol',1e-8); toc view([-0.6 1.5 0.6]); %% Plotting of the result figure; plotmesh(node,elem(elem(:,5)==5,:),'FaceColor',[1 1 1],'EdgeAlpha',0.6) %%wm hold on; plotmesh(node,elem(elem(:,5)==4,:),'x>78| y<110','FaceColor',[0.35 0.35 0.35],'EdgeAlpha',0.6) %%pial plotmesh(node,elem(elem(:,5)==3,:),'x>78 | z<135','FaceColor',[0.2 0.6 1],'EdgeAlpha',0.6) %%csf plotmesh(node,elem(elem(:,5)==2,:),'x>90 | z<130','FaceColor',[1 1 0.9],'EdgeAlpha',0.6) %%bone plotmesh(node,elem(elem(:,5)==1,:),'x>100 | z<125','FaceColor',[1 0.8 0.7],'EdgeAlpha',0.6) %%scalp view([-0.6 1.5 0.6])brain2mesh-0.7.9/examples/check_brain2mesh_dependency.m000066400000000000000000000007071367142225400231540ustar00rootroot00000000000000if(~exist('brain2mesh','file')) error('Missing dependency. You must download and addpath to brain2mesh.m, URL: https://github.com/fangq/brain2mesh') end if(~exist('zmat','file')) error('Missing dependency. You must download and addpath to zmat.m, URL: https://github.com/fangq/zmat') end if(~exist('nii2jnii','file')) error('Missing dependency. You must download and addpath to iso2mesh toolbox, URL: https://github.com/fangq/iso2mesh') end brain2mesh-0.7.9/examples/jnii/000077500000000000000000000000001367142225400163365ustar00rootroot00000000000000brain2mesh-0.7.9/examples/jnii/c1ANTS19-5Years_head.jnii000066400000000000000000041102121367142225400225040ustar00rootroot00000000000000{ "NIFTIHeader": { "NIIHeaderSize": 348, "A75DataTypeName": "", "A75DBName": "", "A75Extends": 0, "A75SessionError": 0, "A75Regular": 114, "DimInfo": { "Freq": 0, "Phase": 0, "Slice": 0 }, "Dim": [166,209,223], "Param1": 0, "Param2": 0, "Param3": 0, "Intent": "", "DataType": "uint8", "BitDepth": 8, "FirstSliceID": 0, "VoxelSize": [1,1,1], "Orientation": { "x": "r", "y": "a", "z": "s" }, "NIIByteOffset": 352, "ScaleSlope": 0.003921568859, "ScaleOffset": 0, "LastSliceID": 0, "SliceType": "", "Unit": { "L": "mm", "T": "s" }, "MaxIntensity": 0, "MinIntensity": 0, "SliceTime": 0, "TimeOffset": 0, "A75GlobalMax": 0, "A75GlobalMin": 0, "Description": 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contains three indices into the matrix of vertices % which gives the three cornerpoints of the triangle. % % testp - points in 3d as matrix with three columns % % heavytest - int n >= 0. Perform n additional randomized rotation tests. % % IMPORTANT: the set of vertices and faces has to form a watertight surface! % % arguments: (output) % in - a vector of length size(testp,1), containing 0 and 1. % in(nr) = 0: testp(nr,:) is outside the triangulation % in(nr) = 1: testp(nr,:) is inside the triangulation % in(nr) = -1: unable to decide for testp(nr,:) % % Thanks to Adam A for providing the FEX submission voxelise. The % algorithms of voxelise form the algorithmic kernel of intriangulation. % % Thanks to Sven to discussions about speed and avoiding problems in % special cases. % % Example usage: % % n = 10; % vertices = rand(n, 3)-0.5; % Generate random points % tetra = delaunayn(vertices); % Generate delaunay triangulization % faces = freeBoundary(TriRep(tetra,vertices)); % use free boundary as triangulation % n = 1000; % testp = 2*rand(n,3)-1; % Generate random testpoints % in = intriangulation(vertices,faces,testp); % % Plot results % h = trisurf(faces,vertices(:,1),vertices(:,2),vertices(:,3)); % set(h,'FaceColor','black','FaceAlpha',1/3,'EdgeColor','none'); % hold on; % plot3(testp(:,1),testp(:,2),testp(:,3),'b.'); % plot3(testp(in==1,1),testp(in==1,2),testp(in==1,3),'ro'); % % See also: intetrahedron, tsearchn, inpolygon % % Author: Johannes Korsawe, heavily based on voxelise from Adam A. % E-mail: johannes.korsawe@volkswagen.de % Release: 1.3 % Release date: 25/09/2013 % check number of inputs if nargin<3, fprintf('??? Error using ==> intriangulation\nThree input matrices are needed.\n');in=[];return; end if nargin==3, heavytest = 0; end % check size of inputs if size(vertices,2)~=3 || size(faces,2)~=3 || size(testp,2)~=3, fprintf('??? Error using ==> intriagulation\nAll input matrices must have three columns.\n');in=[];return; end ipmax = max(faces(:));zerofound = ~isempty(find(faces(:)==0, 1)); if ipmax>size(vertices,1) || zerofound, fprintf('??? Error using ==> intriangulation\nThe triangulation data is defect. use trisurf(faces,vertices(:,1),vertices(:,2),vertices(:,3)) for test of deficiency.\n');return; end % loop for heavytest inreturn = zeros(size(testp,1),1);VER = vertices;TESTP = testp; for n = 1:heavytest+1, % Randomize if n>1, v=rand(1,3);D=rotmatrix(v/norm(v),rand*180/pi);vertices=VER*D;testp = TESTP*D; else, vertices=VER; end % Preprocessing data meshXYZ = zeros(size(faces,1),3,3); for loop = 1:3, meshXYZ(:,:,loop) = vertices(faces(:,loop),:); end % Basic idea (ingenious from FeX-submission voxelise): % If point is inside, it will cross the triangulation an uneven number of times in each direction (x, -x, y, -y, z, -z). % The function VOXELISEinternal is about 98% identical to its version inside voxelise.m. % This includes the elaborate comments. Thanks to Adam A! % z-direction: % intialization of results and correction list [in,cl] = VOXELISEinternal(testp(:,1),testp(:,2),testp(:,3),meshXYZ); % x-direction: % has only to be done for those points, that were not determinable in the first step --> cl [in2,cl2] = VOXELISEinternal(testp(cl,2),testp(cl,3),testp(cl,1),meshXYZ(:,[2,3,1],:)); % Use results of x-direction that determined "inside" in(cl(in2==1)) = 1; % remaining indices with unclear result cl = cl(cl2); % y-direction: % has only to be done for those points, that were not determinable in the first and second step --> cl [in3,cl3] = VOXELISEinternal(testp(cl,3),testp(cl,1),testp(cl,2),meshXYZ(:,[3,1,2],:)); % Use results of y-direction that determined "inside" in(cl(in3==1)) = 1; % remaining indices with unclear result cl = cl(cl3); % mark those indices, where all three tests have failed in(cl) = -1; if n==1, inreturn = in; % Starting guess else, % if ALWAYS inside, use as inside! % I = find(inreturn ~= in); % inreturn(I(in(I)==0)) = 0; % if AT LEAST ONCE inside, use as inside! I = find(inreturn ~= in); inreturn(I(in(I)==1)) = 1; end end in = inreturn; end %========================================================================== function [OUTPUT,correctionLIST] = VOXELISEinternal(testx,testy,testz,meshXYZ) % Prepare logical array to hold the logical data: OUTPUT = false(size(testx,1),1); %Identify the min and max x,y coordinates of the mesh: meshZmin = min(min(meshXYZ(:,3,:)));meshZmax = max(max(meshXYZ(:,3,:))); %Identify the min and max x,y,z coordinates of each facet: meshXYZmin = min(meshXYZ,[],3);meshXYZmax = max(meshXYZ,[],3); %====================================================== % TURN OFF DIVIDE-BY-ZERO WARNINGS %====================================================== %This prevents the Y1predicted, Y2predicted, Y3predicted and YRpredicted %calculations creating divide-by-zero warnings. Suppressing these warnings %doesn't affect the code, because only the sign of the result is important. %That is, 'Inf' and '-Inf' results are ok. %The warning will be returned to its original state at the end of the code. warningrestorestate = warning('query', 'MATLAB:divideByZero'); %warning off MATLAB:divideByZero %====================================================== % START COMPUTATION %====================================================== correctionLIST = []; %Prepare to record all rays that fail the voxelisation. This array is built on-the-fly, but since %it ought to be relatively small should not incur too much of a speed penalty. % Loop through each testpoint. % The testpoint-array will be tested by passing rays in the z-direction through % each x,y coordinate of the testpoints, and finding the locations where the rays cross the mesh. facetCROSSLIST = zeros(1,1e3); % uses countindex: nf nm = size(meshXYZmin,1); for loop = 1:length(OUTPUT), nf = 0; % % - 1a - Find which mesh facets could possibly be crossed by the ray: % possibleCROSSLISTy = find( meshXYZmin(:,2)<=testy(loop) & meshXYZmax(:,2)>=testy(loop) ); % % - 1b - Find which mesh facets could possibly be crossed by the ray: % possibleCROSSLIST = possibleCROSSLISTy( meshXYZmin(possibleCROSSLISTy,1)<=testx(loop) & meshXYZmax(possibleCROSSLISTy,1)>=testx(loop) ); % Do - 1a - and - 1b - faster possibleCROSSLISTy = find((testy(loop)-meshXYZmin(:,2)).*(meshXYZmax(:,2)-testy(loop))>0); possibleCROSSLISTx = (testx(loop)-meshXYZmin(possibleCROSSLISTy,1)).*(meshXYZmax(possibleCROSSLISTy,1)-testx(loop))>0; possibleCROSSLIST = possibleCROSSLISTy(possibleCROSSLISTx); if isempty(possibleCROSSLIST)==0 %Only continue the analysis if some nearby facets were actually identified % - 2 - For each facet, check if the ray really does cross the facet rather than just passing it close-by: % GENERAL METHOD: % 1. Take each edge of the facet in turn. % 2. Find the position of the opposing vertex to that edge. % 3. Find the position of the ray relative to that edge. % 4. Check if ray is on the same side of the edge as the opposing vertex. % 5. If this is true for all three edges, then the ray definitely passes through the facet. % % NOTES: % 1. If the ray crosses exactly on an edge, this is counted as crossing the facet. % 2. If a ray crosses exactly on a vertex, this is also taken into account. for loopCHECKFACET = possibleCROSSLIST' %Check if ray crosses the facet. This method is much (>>10 times) faster than using the built-in function 'inpolygon'. %Taking each edge of the facet in turn, check if the ray is on the same side as the opposing vertex. If so, let testVn=1 Y1predicted = meshXYZ(loopCHECKFACET,2,2) - ((meshXYZ(loopCHECKFACET,2,2)-meshXYZ(loopCHECKFACET,2,3)) * (meshXYZ(loopCHECKFACET,1,2)-meshXYZ(loopCHECKFACET,1,1))/(meshXYZ(loopCHECKFACET,1,2)-meshXYZ(loopCHECKFACET,1,3))); YRpredicted = meshXYZ(loopCHECKFACET,2,2) - ((meshXYZ(loopCHECKFACET,2,2)-meshXYZ(loopCHECKFACET,2,3)) * (meshXYZ(loopCHECKFACET,1,2)-testx(loop))/(meshXYZ(loopCHECKFACET,1,2)-meshXYZ(loopCHECKFACET,1,3))); if (Y1predicted > meshXYZ(loopCHECKFACET,2,1) && YRpredicted > testy(loop)) || (Y1predicted < meshXYZ(loopCHECKFACET,2,1) && YRpredicted < testy(loop)) || (meshXYZ(loopCHECKFACET,2,2)-meshXYZ(loopCHECKFACET,2,3)) * (meshXYZ(loopCHECKFACET,1,2)-testx(loop)) == 0 % testV1 = 1; %The ray is on the same side of the 2-3 edge as the 1st vertex. else % testV1 = 0; %The ray is on the opposite side of the 2-3 edge to the 1st vertex. % As the check is for ALL three checks to be true, we can continue here, if only one check fails continue; end %if Y2predicted = meshXYZ(loopCHECKFACET,2,3) - ((meshXYZ(loopCHECKFACET,2,3)-meshXYZ(loopCHECKFACET,2,1)) * (meshXYZ(loopCHECKFACET,1,3)-meshXYZ(loopCHECKFACET,1,2))/(meshXYZ(loopCHECKFACET,1,3)-meshXYZ(loopCHECKFACET,1,1))); YRpredicted = meshXYZ(loopCHECKFACET,2,3) - ((meshXYZ(loopCHECKFACET,2,3)-meshXYZ(loopCHECKFACET,2,1)) * (meshXYZ(loopCHECKFACET,1,3)-testx(loop))/(meshXYZ(loopCHECKFACET,1,3)-meshXYZ(loopCHECKFACET,1,1))); if (Y2predicted > meshXYZ(loopCHECKFACET,2,2) && YRpredicted > testy(loop)) || (Y2predicted < meshXYZ(loopCHECKFACET,2,2) && YRpredicted < testy(loop)) || (meshXYZ(loopCHECKFACET,2,3)-meshXYZ(loopCHECKFACET,2,1)) * (meshXYZ(loopCHECKFACET,1,3)-testx(loop)) == 0 % testV2 = 1; %The ray is on the same side of the 3-1 edge as the 2nd vertex. else % testV2 = 0; %The ray is on the opposite side of the 3-1 edge to the 2nd vertex. % As the check is for ALL three checks to be true, we can continue here, if only one check fails continue; end %if Y3predicted = meshXYZ(loopCHECKFACET,2,1) - ((meshXYZ(loopCHECKFACET,2,1)-meshXYZ(loopCHECKFACET,2,2)) * (meshXYZ(loopCHECKFACET,1,1)-meshXYZ(loopCHECKFACET,1,3))/(meshXYZ(loopCHECKFACET,1,1)-meshXYZ(loopCHECKFACET,1,2))); YRpredicted = meshXYZ(loopCHECKFACET,2,1) - ((meshXYZ(loopCHECKFACET,2,1)-meshXYZ(loopCHECKFACET,2,2)) * (meshXYZ(loopCHECKFACET,1,1)-testx(loop))/(meshXYZ(loopCHECKFACET,1,1)-meshXYZ(loopCHECKFACET,1,2))); if (Y3predicted > meshXYZ(loopCHECKFACET,2,3) && YRpredicted > testy(loop)) || (Y3predicted < meshXYZ(loopCHECKFACET,2,3) && YRpredicted < testy(loop)) || (meshXYZ(loopCHECKFACET,2,1)-meshXYZ(loopCHECKFACET,2,2)) * (meshXYZ(loopCHECKFACET,1,1)-testx(loop)) == 0 % testV3 = 1; %The ray is on the same side of the 1-2 edge as the 3rd vertex. else % testV3 = 0; %The ray is on the opposite side of the 1-2 edge to the 3rd vertex. % As the check is for ALL three checks to be true, we can continue here, if only one check fails continue; end %if nf=nf+1;facetCROSSLIST(nf)=loopCHECKFACET; end %for % Use only values ~=0 facetCROSSLIST = facetCROSSLIST(1:nf); % - 3 - Find the z coordinate of the locations where the ray crosses each facet: gridCOzCROSS = zeros(1,nf); for loopFINDZ = facetCROSSLIST % METHOD: % 1. Define the equation describing the plane of the facet. For a % more detailed outline of the maths, see: % http://local.wasp.uwa.edu.au/~pbourke/geometry/planeeq/ % Ax + By + Cz + D = 0 % where A = y1 (z2 - z3) + y2 (z3 - z1) + y3 (z1 - z2) % B = z1 (x2 - x3) + z2 (x3 - x1) + z3 (x1 - x2) % C = x1 (y2 - y3) + x2 (y3 - y1) + x3 (y1 - y2) % D = - x1 (y2 z3 - y3 z2) - x2 (y3 z1 - y1 z3) - x3 (y1 z2 - y2 z1) % 2. For the x and y coordinates of the ray, solve these equations to find the z coordinate in this plane. planecoA = meshXYZ(loopFINDZ,2,1)*(meshXYZ(loopFINDZ,3,2)-meshXYZ(loopFINDZ,3,3)) + meshXYZ(loopFINDZ,2,2)*(meshXYZ(loopFINDZ,3,3)-meshXYZ(loopFINDZ,3,1)) + meshXYZ(loopFINDZ,2,3)*(meshXYZ(loopFINDZ,3,1)-meshXYZ(loopFINDZ,3,2)); planecoB = meshXYZ(loopFINDZ,3,1)*(meshXYZ(loopFINDZ,1,2)-meshXYZ(loopFINDZ,1,3)) + meshXYZ(loopFINDZ,3,2)*(meshXYZ(loopFINDZ,1,3)-meshXYZ(loopFINDZ,1,1)) + meshXYZ(loopFINDZ,3,3)*(meshXYZ(loopFINDZ,1,1)-meshXYZ(loopFINDZ,1,2)); planecoC = meshXYZ(loopFINDZ,1,1)*(meshXYZ(loopFINDZ,2,2)-meshXYZ(loopFINDZ,2,3)) + meshXYZ(loopFINDZ,1,2)*(meshXYZ(loopFINDZ,2,3)-meshXYZ(loopFINDZ,2,1)) + meshXYZ(loopFINDZ,1,3)*(meshXYZ(loopFINDZ,2,1)-meshXYZ(loopFINDZ,2,2)); planecoD = - meshXYZ(loopFINDZ,1,1)*(meshXYZ(loopFINDZ,2,2)*meshXYZ(loopFINDZ,3,3)-meshXYZ(loopFINDZ,2,3)*meshXYZ(loopFINDZ,3,2)) - meshXYZ(loopFINDZ,1,2)*(meshXYZ(loopFINDZ,2,3)*meshXYZ(loopFINDZ,3,1)-meshXYZ(loopFINDZ,2,1)*meshXYZ(loopFINDZ,3,3)) - meshXYZ(loopFINDZ,1,3)*(meshXYZ(loopFINDZ,2,1)*meshXYZ(loopFINDZ,3,2)-meshXYZ(loopFINDZ,2,2)*meshXYZ(loopFINDZ,3,1)); if abs(planecoC) < 1e-14 planecoC=0; end gridCOzCROSS(facetCROSSLIST==loopFINDZ) = (- planecoD - planecoA*testx(loop) - planecoB*testy(loop)) / planecoC; end %for if isempty(gridCOzCROSS),continue;end %Remove values of gridCOzCROSS which are outside of the mesh limits (including a 1e-12 margin for error). gridCOzCROSS = gridCOzCROSS( gridCOzCROSS>=meshZmin-1e-12 & gridCOzCROSS<=meshZmax+1e-12 ); %Round gridCOzCROSS to remove any rounding errors, and take only the unique values: gridCOzCROSS = round(gridCOzCROSS*1e10)/1e10; % Replacement of the call to unique (gridCOzCROSS = unique(gridCOzCROSS);) by the following line: tmp = sort(gridCOzCROSS);I=[0,tmp(2:end)-tmp(1:end-1)]~=0;gridCOzCROSS = [tmp(1),tmp(I)]; % - 4 - Label as being inside the mesh all the voxels that the ray passes through after crossing one facet before crossing another facet: if rem(numel(gridCOzCROSS),2)==0 % Only rays which cross an even number of facets are voxelised for loopASSIGN = 1:(numel(gridCOzCROSS)/2) voxelsINSIDE = (testz(loop)>gridCOzCROSS(2*loopASSIGN-1) & testz(loop)0 %If necessary, add a one-pixel border around the x and y edges of the %array. This prevents an error if the code tries to interpolate a ray at %the edge of the x,y grid. if min(correctionLIST(:,1))==1 || max(correctionLIST(:,1))==numel(gridCOx) || min(correctionLIST(:,2))==1 || max(correctionLIST(:,2))==numel(gridCOy) gridOUTPUT = [zeros(1,voxcountY+2,voxcountZ);zeros(voxcountX,1,voxcountZ),gridOUTPUT,zeros(voxcountX,1,voxcountZ);zeros(1,voxcountY+2,voxcountZ)]; correctionLIST = correctionLIST + 1; end for loopC = 1:countCORRECTIONLIST voxelsforcorrection = squeeze( sum( [ gridOUTPUT(correctionLIST(loopC,1)-1,correctionLIST(loopC,2)-1,:) ,... gridOUTPUT(correctionLIST(loopC,1)-1,correctionLIST(loopC,2),:) ,... gridOUTPUT(correctionLIST(loopC,1)-1,correctionLIST(loopC,2)+1,:) ,... gridOUTPUT(correctionLIST(loopC,1),correctionLIST(loopC,2)-1,:) ,... gridOUTPUT(correctionLIST(loopC,1),correctionLIST(loopC,2)+1,:) ,... gridOUTPUT(correctionLIST(loopC,1)+1,correctionLIST(loopC,2)-1,:) ,... gridOUTPUT(correctionLIST(loopC,1)+1,correctionLIST(loopC,2),:) ,... gridOUTPUT(correctionLIST(loopC,1)+1,correctionLIST(loopC,2)+1,:) ,... ] ) ); voxelsforcorrection = (voxelsforcorrection>=4); gridOUTPUT(correctionLIST(loopC,1),correctionLIST(loopC,2),voxelsforcorrection) = 1; end %for %Remove the one-pixel border surrounding the array, if this was added %previously. if size(gridOUTPUT,1)>numel(gridCOx) || size(gridOUTPUT,2)>numel(gridCOy) gridOUTPUT = gridOUTPUT(2:end-1,2:end-1,:); end end %if %disp([' Ray tracing result: ',num2str(countCORRECTIONLIST),' rays (',num2str(countCORRECTIONLIST/(voxcountX*voxcountY)*100,'%5.1f'),'% of all rays) exactly crossed a facet edge and had to be computed by interpolation.']) end %function %========================================================================== function D = rotmatrix(v,deg) % calculate the rotation matrix about v by deg degrees deg=deg/180*pi; if deg~=0, v=v/norm(v); v1=v(1);v2=v(2);v3=v(3);ca=cos(deg);sa=sin(deg); D=[ca+v1*v1*(1-ca),v1*v2*(1-ca)-v3*sa,v1*v3*(1-ca)+v2*sa; v2*v1*(1-ca)+v3*sa,ca+v2*v2*(1-ca),v2*v3*(1-ca)-v1*sa; v3*v1*(1-ca)-v2*sa,v3*v2*(1-ca)+v1*sa,ca+v3*v3*(1-ca)]; else, D=eye(3,3); end end brain2mesh-0.7.9/label2tpm.m000066400000000000000000000026151367142225400156330ustar00rootroot00000000000000function seg=label2tpm(vol, names) % % seg=label2tpm(vol) % or % seg=label2tpm(vol, names) % % converting a multi-lable volume to binary tissue probablistic maps (TPMs) % % author: Qianqian Fang (q.fang at neu.edu) % % input: % vol: a 2-D or 3-D array of integer values. % names (optional): a cell array of strings defining the names of each label, % alternatively, a containers.Map object with label (integer) as % the key and name as the value. The names can be a subset of all % labels. % % output: % seg: a struct with subfields of 3D or 4D uint8 array; the subfield % names are defined via the optional names input; the unnamed % labels will be named as 'label_#'. % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(~isnumeric(vol)) error('input must be a numerical array'); end val=setdiff(sort(unique(vol(:))),0); if(length(val)>numel(vol)*(0.1^ndims(vol))) error('please convert the input to labels first'); end seg=struct; for i=1:length(val) nm=sprintf('label_%d',val(i)); if(nargin>1) if(iscell(names)) if(i<=length(names)) nm=names{i}; end elseif(isa(names,'containers.Map') && isKey(names,val(i))) nm=names(val(i)); end end seg.(nm)=uint8(vol==val(i)); end brain2mesh-0.7.9/layersurf.m000066400000000000000000000057251367142225400157720ustar00rootroot00000000000000function [face,labels]=layersurf(elem,varargin) % % face=layersurf(elem, opt) % or % [face,labels]=layersurf(elem,'option1',value1,'option2',value2,...) % % process a multi-layered tetrahedral mesh, like a brain mesh, to extract % the layer surface meshes with one enclosed by another % % author: Qianqian Fang (q.fang at neu.edu) % % input: % elem: an Nx5 integer array, representing the tetrahedral mesh element % list. The first 4 columns represent the tetrahedral element node % indices; the last column represents tissue labels. % opt: (optional) a struct or pairs of names/values to provide % additional options; accepted options include % 'order': ['>='] or '=', '<=' . if set to '>=' (default), the % outmost layer has the lowest label count; if '<=', innermost % is lowest; if '=', surface of each label is extracted % individually - meaning that inner surfaces will have two % duplicates % 'innermost': [0] or an array of labels. The labels defined in % this list will be treated as the innermost regions, and its % boundary will be extracted using the '==' test (order='='). % by default; label 0 is assumed to be innermost (i.e. nothing % is enclosed inside). % 'unique': [0] or 1. if 1, remove duplicated triangles; if 0, keep % all triangles. % 'occurence': ['first'] or 'last'. if 'first', the unique operator % keeps a duplicated triangle with the lowest label number; % otherwise, a repeated triange keeps the highest label number. % % output: % vol: a 2-D or 3-D array of the same type/size of the input arrays. The % label for each voxel is determined by the index to the highest % value in TPM of the same voxel. If a voxel is a background voxel % - i.e. zeros for all TPMs, it stays 0 % names: a cell array storing the names of the labels (if input is a % struct), the first string is the name for label 1, and so on % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % opt=varargin2struct(varargin{:}); outsideislower=jsonopt('order','>=',opt); dounique=jsonopt('unique',false,opt); innermost=jsonopt('innermost',0,opt); occurence=jsonopt('occurence','first',opt); labels = sort(unique(elem(:,5))); face = []; for i = 1:length(labels) if(strcmp(outsideislower,'>=') && ~ismember(labels(i),innermost)) newface=volface(elem(elem(:,5)>=labels(i),1:4)); elseif(strcmp(outsideislower,'<=') && ~ismember(labels(i),innermost)) newface=volface(elem(elem(:,5)<=labels(i),1:4)); else newface=volface(elem(elem(:,5)==labels(i),1:4)); end newface(:,4)=labels(i); face = [face; newface]; end if(dounique) face(:,1:3) = sort(face(:,1:3),2); [uniqface, idx]= unique(face(:,1:3),'rows',occurence); face=[uniqface, face(idx,end)]; endbrain2mesh-0.7.9/polylineinterp.m000066400000000000000000000044621367142225400170300ustar00rootroot00000000000000function [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) % % [idx, weight]=polylineinterp(polylen, len) % [idx, weight, newnodes]=polylineinterp(polylen, len, nodes) % % Find the polyline segment indices and interpolation weights for a % specified total length or a set of lengths % % author: Qianqian Fang (q.fang at neu.edu) % % input: % polylen: a 1D vector sequentially recording the length of each segment % of a polyline, the first number is the length of the 1st segment, % and so on % len: a single scalar, or a vector of scalars, specifying the total % length % nodes: if nodes is an array with a row-number equal to length(polylen)+1, % we assume each row defines a coordinate for the nodes along the % polyline % % output: % idx: the indices of the polyline segments, starting from 1, where each % length defined in len ends; if len> sum(polylen), nan is % returned; if len<0, the weight will be a negative value. % weight: the interpolation weight between 0-1 towards the end node % of the containing segment; the weight for the start-node is 1-weight % newnodes: the interpolated node positions at the end of the len % % example: % lineseg=[2,2,1,7,10]; % [idx, weight]=polylineinterp(lineseg, [3, 12, 7]) % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % cumlen=[0 cumsum(polylen(:)')]; idx=nan*ones(size(len)); weight=zeros(size(len)); if(nargin>=3 && nargout>=3) if(size(nodes,1)==1) nodes=nodes.'; end if(size(nodes,1)~=length(polylen)+1) error('the row number of the nodes input must be 1 more than the length of polylen'); end newnodes=zeros(length(len),size(nodes,2)); end for i=1:length(len) pos=histc(len(i), cumlen); if(any(pos==1)) idx(i)=find(pos); if(idx(i)==length(cumlen)) idx(i)=idx(i)-1; weight(i)=1; newnodes(i,:)=nodes(end,:); elseif(idx(i)<=length(polylen)) weight(i)=(len(i)-cumlen(idx(i)))/polylen(idx(i)); if(nargin>=3 && nargout>=3) newnodes(i,:)=(1-weight(i))*nodes(idx(i),:)+weight(i)*nodes(idx(i)+1,:); end end end end idx(idx>length(polylen))=nan;brain2mesh-0.7.9/polylinelen.m000066400000000000000000000031401367142225400162750ustar00rootroot00000000000000function [len, node]=polylinelen(node, p0, p1, pmid) % % [len, node]=polylinelen(node, p0, p1) % % Calculate the polyline line segment length vector in sequential order % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining each vertex of the polyline in % sequential order % p0:(optional) a given node to define the start of the polyline, if not % defined, start position is assumed to be 1st node % p1:(optional) a given node to define the end of the polyline, if not % defined, end position is assumed to be last node % pmid:(optional) a given node sits between p0 and p1, if not % defined, index of the middle (floored) node is used % % output: % len: the length of each segment between the start and the end points % node: the node list between the start and end points of the polyline % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<3) p1=size(node,1); if(nargin<2) p0=1; end end if(nargin<4) pmid=floor((p0+p1)*0.5); end if(size(p0,2)==3) p0=closestnode(node,p0); end if(size(p1,2)==3) p1=closestnode(node,p1); end if(size(pmid,2)==3) pmid=closestnode(node,pmid); end if(p0pmid && pmid>p1) node=node(p0:-1:p1,:); elseif(p0>pmid && p1>pmid) node=node([max(p0,p1):end 1:min(p0,p1)],:); end len=node(1:end-1,:) - node(2:end,:); len=sqrt(sum(len.*len,2)); brain2mesh-0.7.9/polylinesimplify.m000066400000000000000000000031471367142225400173620ustar00rootroot00000000000000function [newnodes, len]=polylinesimplify(nodes, minangle) % % [newnodes, len]=polylinesimplify(nodes, minangle) % % Calculate a simplified polyline by removing nodes where two adjacent % segment have an angle less than a specified limit % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining each vertex of the polyline in % sequential order % minangle:(optional) minimum segment angle in radian, if not given, use % 0.75*pi % % output: % newnodes: the updated node list; start/end will not be removed % len: the length of each segment between the start and the end points % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % if(nargin<2) minangle=0.75*pi; end v=segvec(nodes(1:end-1,:), nodes(2:end,:)); ang=acos(max(min(sum(-v(1:end-1,:).*(v(2:end,:)),2),1),-1)); newnodes=nodes; newv=v; newang=ang; idx=find(newang1); newang(idx0-1)=acos(sum(-newv(idx0-1,:).*(newv(idx0,:)),2)); idx=find(newang1) len=newnodes(1:end-1,:) - newnodes(2:end,:); len=sqrt(sum(len.*len,2)); end function v=segvec(n1, n2) v=n2-n1; normals=sqrt(sum(v.*v,2)); v=v./repmat(normals,1,size(v,2));brain2mesh-0.7.9/slicesurf.m000066400000000000000000000022751367142225400157520ustar00rootroot00000000000000function [bcutpos, bcutloop, bcutvalue]=slicesurf(node, face, varargin) % % [bcutpos, bcutloop]=slicesurf(node, face, varargin) % % Slice a closed surface by a plane and extract the intersection curve as a % polyline loop % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining the 3-D positions of the mesh % face: an N x 3 interger array specifying the surface triangle indices; % % output: % bcutpos: the nodes on the intersection curve % bcutloop: the sequential order of the nodes to form a polyline loop; % the last node is assumed to be connected to the first node; an % nan indicates the end of a loop; the intersection may contain % multiple loops; if only bcutpos is returned, the nodes will be % made in sequential order. % % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % [bcutpos,bcutvalue,bcutedges]=qmeshcut(face(:,1:3),node,node(:,1),varargin{:}); [bcutpos,bcutedges]=removedupnodes(bcutpos,bcutedges); bcutloop=extractloops(bcutedges); if(nargout==1) bcutloop(isnan(bcutloop))=[]; bcutpos=bcutpos(bcutloop,:); endbrain2mesh-0.7.9/slicesurf3.m000066400000000000000000000047571367142225400160440ustar00rootroot00000000000000function [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) % % [leftpt,leftcurve,rightpt,rightcurve]=slicesurf3(node,elem,p1,p2,p3,step,minangle) % % Slice a closed surface by a plane and extract the landmark nodes along % the intersection between p1 and p3, then output into 2 segments: between % p2 to p1 (left half), and p2 to p3 (right half) % % author: Qianqian Fang (q.fang at neu.edu) % % input: % node: an N x 3 array defining the 3-D positions of the mesh % elem: an N x 3 interger array specifying the surface triangle indices; % p1: 3D position of the start on the curve-of-interest % p2: 3D position of the middle on the curve-of-interest % p3: 3D position of the end on the curve-of-interest % step: (optional) a percentage (0-100) specifying the spacing of the % output landmark nodes; step=20 means the landmarks on the left % curve are spaced as 20% of the total lengths of the left-half, and % those on the right-curve are spaced at 20% of the right-half, % starting from p2. % minangle: (optional) a positive minangle will ask this function to % call polylinesimplify to remove sharp turns on the curve. % % output: % leftpt: the equal-spaced landmark nodes on the left-half (p2-p1) % intersection curve; spacing between these nodes are % (step% * length of the curve between p2-p1) % leftcurve: all nodes on the left-half (p2-p1) intersection curve % rightpt: the equal-spaced landmark nodes on the right-half (p2-p3) % intersection curve; spacing between these nodes are % (step% * length of the curve between p2-p3) % rightcurve: all nodes on the left-half (p2-p1) intersection curve % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % fullcurve=slicesurf(node, elem, [p1;p2;p3]); if(nargin>=7 && minangle>0) fullcurve=polylinesimplify(fullcurve,minangle); end [fulllen, fullcurve]=polylinelen(fullcurve, p1,p3,p2); [leftlen, leftcurve]=polylinelen(fullcurve, p2, p1); if(nargin>=6) [idx, weight, leftpt]=polylineinterp(leftlen, sum(leftlen)*(step:step:(100-step*0.5))*0.01, leftcurve); else leftpt=leftcurve; end if(nargout>2) [rightlen, rightcurve]=polylinelen(fullcurve, p2, p3); if(nargin>=6) [idx, weight, rightpt]=polylineinterp(rightlen, sum(rightlen)*(step:step:(100-step*0.5))*0.01, rightcurve); else rightpt=rightcurve; end end brain2mesh-0.7.9/tpm2label.m000066400000000000000000000031011367142225400156220ustar00rootroot00000000000000function [vol, names]=tpm2label(seg, segorder) % % vol=tpm2label(seg) % or % vol=tpm2label(seg, segorder) % [vol, names]=tpm2label(seg, segorder) % % converting tissue probablistic maps (TPMs) to a multi-lable volume % % author: Qianqian Fang (q.fang at neu.edu) % % input: % seg: a struct, a cell array, or a 3D or 4D array; if seg is a cell % or a struct, their subfields must be 2D/3D arrays of the same % sizes; % segorder: if seg is a struct, segorder allows one to assign output % labels using customized order instead of the creation order % % output: % vol: a 2-D or 3-D array of the same type/size of the input arrays. The % label for each voxel is determined by the index to the highest % value in TPM of the same voxel. If a voxel is a background voxel % - i.e. zeros for all TPMs, it stays 0 % names: a cell array storing the names of the labels (if input is a % struct), the first string is the name for label 1, and so on % % -- this function is part of brain2mesh toolbox (http://mcx.space/brain2mesh) % License: GPL v3 or later, see LICENSE.txt for details % mask=seg; names={}; if(isstruct(seg)) if(nargin>1) seg=orderfields(seg,segorder); end names=fieldnames(seg); mask=cellfun(@(x) seg.(x), names,'UniformOutput',false); end if(iscell(mask)) mask=cat(ndims(mask{1})+1,mask{:}); end if(~isnumeric(mask)) error('input must be a cell/struct array with numeric elements of matching dimensions'); end [newmask, vol]=max(mask,[],ndims(mask)); vol=vol .* (sum(mask,ndims(mask))>0);