📄 align_structures.m
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function [om,T,Y] = align_structures(X1,X2),
% Find om (R) and T, such that Y = R*X1 + T is as close as
% possible to X2.
[m,n] = size(X1);
% initialization:
% initialize param to no motion:
param = zeros(6,1);
change = 1;
while change > 1e-6,
om = param(1:3);
T = param(4:6);
[Y,dYdom,dYdT] = rigid_motion(X1,om,T);
J = [dYdom dYdT];
err = X2(:) - Y(:);
param_up = inv(J'*J)*J'*err;
param = param + param_up;
change = norm(param_up)/norm(param);
end;
om = param(1:3);
T = param(4:6);
[Y,dYdom,dYdT] = rigid_motion(X1,om,T);
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