34 lines
776 B
Matlab
34 lines
776 B
Matlab
function [V, Z] = init_SB(P, Tr, RR, S_bar, K)
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%[V, Z] = init_SB(P, Tr, RR, S_bar, K)
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[T, J] = size(P);
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T = T/2;
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V = zeros(3*K, J);
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Z = zeros(T, K);
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W_tilda = P - RR*S_bar - [Tr(:,1); Tr(:,2)]*ones(1,J);
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for kk=1:K, % iterates over deformations
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V_kk = zeros(T, 3*J);
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for t=1:T,
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try
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V_kk_t = pinv(RR([t t+T], :))*W_tilda([t t+T], :);
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catch err
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fprintf('Wrong at %d\n', t);
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end
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V_kk(t,:) = V_kk_t(:)';
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end
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[a,b,c] = svd(V_kk, 0);
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sqrtb = sqrt(b(1,1));
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Z(:, kk) = a(:,1) * sqrtb;
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new_V_kk = sqrtb * c(:,1)';
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V((kk-1)*3+1:kk*3, :) = reshape(new_V_kk, 3, J);
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for t = 1:T,
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W_tilda([t t+T], :) = W_tilda([t t+T], :) - RR([t t+T], :)*(Z(t,kk)*V((kk-1)*3+1:kk*3, :));
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end
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end
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