function [fc] = slicer_plot_n(h,sol,vtx,simp,fc);
This function plots a 2D slice of the 3D solution vector BB at z=h.
h = The height of the desired solution, max(vtx(:,3))>= h >= min(vtx(:,3)).
sol = The caclulated inverse solution
vtx = The vertices matrix
simp = The simplices matrix
fc = The edges of the mesh. This is a 2 column matrix required for the 3D plotting.
fc may take some time to be calculated so it is a good idea to save it and use
it thereafter. Initially use [fc] = slicer_plot(h,BB,vtx,simp); to plot the slide
and calculate fc.0001 function [fc] = slicer_plot_n(h,sol,vtx,simp,fc); 0002 %function [fc] = slicer_plot_n(h,sol,vtx,simp,fc); 0003 % 0004 %This function plots a 2D slice of the 3D solution vector BB at z=h. 0005 % 0006 %h = The height of the desired solution, max(vtx(:,3))>= h >= min(vtx(:,3)). 0007 %sol = The caclulated inverse solution 0008 %vtx = The vertices matrix 0009 %simp = The simplices matrix 0010 %fc = The edges of the mesh. This is a 2 column matrix required for the 3D plotting. 0011 % fc may take some time to be calculated so it is a good idea to save it and use 0012 % it thereafter. Initially use [fc] = slicer_plot(h,BB,vtx,simp); to plot the slide 0013 % and calculate fc. 0014 0015 % $Id: slicer_plot_n.html 2819 2011-09-07 16:43:11Z aadler $ 0016 0017 if nargin < 5 0018 fc = []; 0019 %Develop the faces 0020 0021 for f=1:size(simp,1) 0022 0023 fc1 = sort([simp(f,1),simp(f,2)]); 0024 fc2 = sort([simp(f,1),simp(f,3)]); 0025 fc3 = sort([simp(f,1),simp(f,4)]); 0026 fc4 = sort([simp(f,2),simp(f,3)]); 0027 fc5 = sort([simp(f,2),simp(f,4)]); 0028 fc6 = sort([simp(f,3),simp(f,4)]); 0029 0030 fc = [fc;fc1;fc2;fc3;fc4;fc5;fc6]; 0031 0032 end 0033 fc = unique(fc,'rows'); 0034 end 0035 0036 %(1) Generate the pseudo-triangulation at plane z=h 0037 vtxp = []; %Nodes created for the plane 0038 vap = []; %Value of the node in vtxp 0039 0040 for j=1:size(fc,1) 0041 this_ph = fc(j,:); %[nodeA nodeB] 0042 0043 if max(vtx(this_ph(1),3),vtx(this_ph(2),3))> h & ... 0044 min(vtx(this_ph(1),3),vtx(this_ph(2),3))<= h 0045 0046 %If the face is crossed through by the plane then 0047 %create a plotable node on the plane. 0048 Pa = this_ph(1); Pb = this_ph(2); 0049 xa = vtx(Pa,1); ya = vtx(Pa,2); za = vtx(Pa,3); 0050 xb = vtx(Pb,1); yb = vtx(Pb,2); zb = vtx(Pb,3); 0051 0052 xn = xa + (h-za)*(xb-xa)/(zb-za); 0053 yn = ya + (h-za)*(yb-ya)/(zb-za); 0054 vtxp = [vtxp;[xn,yn]]; 0055 0056 end %if 0057 end %for 0058 tri = delaunay(vtxp(:,1),vtxp(:,2)); 0059 0060 [vtxp,tri] = delfix(vtxp,tri); 0061 %The 2D mesh at h is (vtxp,tri) 0062 0063 %(2) Evaluate the geometric centers gCts of the new siplices tri 0064 gCts = zeros(size(tri,1),2); 0065 for y=1:size(tri,1) 0066 gCts(y,1) = mean(vtxp(tri(y,:),1)); 0067 gCts(y,2) = mean(vtxp(tri(y,:),2)); 0068 end 0069 0070 %(3) Initialise the planar solution 0071 sol2D = zeros(size(gCts,1),1); 0072 0073 %(4) Now trace which simps contain gCts 0074 0075 0076 TT = tsearchn(vtx,simp,[gCts,h*ones(size(gCts,1),1)]); 0077 sol2D = sol(TT); 0078 0079 0080 %(5) Plot the planar solution sol2D with patches 0081 % Autoscale each axes to its own scale 0082 % c_img = calc_colours( sol2D(:), [], 1 ); 0083 c_img = calc_colours( sol2D(:), [], 1 ); 0084 0085 for q=1:size(tri) 0086 tri_q= tri(q,:); 0087 % need 'direct' otherwise colourmap is screwed up 0088 patch(vtxp(tri_q,1),vtxp(tri_q,2),squeeze(c_img(q,:,:)), ... 0089 'CDataMapping','direct','EdgeColor','none'); 0090 end %for q 0091 % colorbar; 0092 0093 0094 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0095 % This is part of the EIDORS suite. 0096 % Copyright (c) N. Polydorides 2003 0097 % Copying permitted under terms of GNU GPL 0098 % See enclosed file gpl.html for details. 0099 % EIDORS 3D version 2.0 0100 % MATLAB version 6.1 R13 0101 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0102