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compute_semiregular_gim.m
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compute_semiregular_gim.m
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function [vertex,face,vertex0] = compute_semiregular_gim(M,J,options)
% compute_semiregular_gim - compute a semi-regular mesh from a GIM
%
% [vertex,face,vertex0] = compute_semiregular_gim(M,J,options);
%
% M is an (n,n,3) geometry image.
% vertex and face is a cell array of semi regular meshes.
%
% Copyright (c) 2007 Gabriel Peyre
vertex0 = {}; face = {};
[vertex0{1}, face{1}] = compute_base_mesh('oct');
options.base_mesh = 'oct';
for j=2:J
[vertex0{j},face{j}] = perform_mesh_subdivision(vertex0{j-1},face{j-1},1);
end
for j=1:J
pos = vertex0{j};
uv = pos(1:2,:);
uv1 = uv(:,pos(3,:)>0);
% un-wrapping #1
I = find(uv1(1,:)>=0 & uv1(2,:)>=0);
uv1(:,I) = 1 - uv1(2:-1:1,I);
% un-wrapping #2
I = find(uv1(1,:)>=0 & uv1(2,:)<=0);
uv1(:,I) = uv1(2:-1:1,I);
uv1(1,I) = uv1(1,I)+1;
uv1(2,I) = uv1(2,I)-1;
% un-wrapping #3
I = find(uv1(1,:)<=0 & uv1(2,:)<=0);
uv1(:,I) = - 1 - uv1(2:-1:1,I);
% un-wrapping #4
I = find(uv1(1,:)<=0 & uv1(2,:)>=0);
uv1(:,I) = uv1(2:-1:1,I);
uv1(1,I) = uv1(1,I)-1;
uv1(2,I) = uv1(2,I)+1;
% assign
uv(:,pos(3,:)>0) = uv1;
% rescale
n = size(uv,2); % number of grid points
q = size(M,1);
uv = (uv+1)/2; % uv = uv*(1-1/q);
% perform interpolation
x = linspace(0,1,q);
vertex{j} = zeros(3,n);
for i=1:3
vertex{j}(i,:) = interp2(x,x,M(:,:,i), uv(1,:), uv(2,:));
end
end