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Toolbox Fast Marching

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Toolbox Fast Marching

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24 Oct 2004 (Updated )

A toolbox for the computation of the Fast Marching algorithm in 2D and 3D.

perform_tensor_recomp.m
function T = perform_tensor_recomp(e1,e2,l1,l2)

% perform_tensor_recomp - create the tensor field corresponding to the given eigendecomposition.
%
%   T = perform_tensor_recomp(e1,e2,l1,l2);
%
%   'e1(i,j,:)' is the main eigenvector at location (i,j)
%       with associated largest eigenvalue 'l1(i,j)'.
%   'e2(i,j,:)' is the second eigenvector at location (i,j)
%       with associated smallest eigenvalue 'l2(i,j)'.
%
%   You have 
%       T = l1*e1*e1' + l2*e2*e2'
%
%   Copyright (c) 2004 Gabriel Peyr


T = zeros( [size(l1),2,2] );
T(:,:,1,1) = l1.*e1(:,:,1).^2 + l2.*e2(:,:,1).^2;
T(:,:,1,2) = l1.*e1(:,:,1).*e1(:,:,2) + l2.*e2(:,:,1).*e2(:,:,2);
T(:,:,2,1) = T(:,:,1,2);
T(:,:,2,2) = l1.*e1(:,:,2).^2 + l2.*e2(:,:,2).^2;

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