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priorA.m
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priorA.m
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% Copyright ©2013. The Regents of the University of California (Regents).
% All Rights Reserved. Permission to use, copy, modify, and distribute
% this software and its documentation for educational, research, and
% not-for-profit purposes, without fee and without a signed licensing
% agreement, is hereby granted, provided that the above copyright notice,
% this paragraph and the following two paragraphs appear in all copies,
% modifications, and distributions. Contact The Office of Technology
% Licensing, UC Berkeley, 2150 Shattuck Avenue, Suite 510, Berkeley, CA
% 94720-1620, (510) 643-7201, for commercial licensing opportunities.
%
% Created by Jonathan T Barron and Jitendra Malik, Electrical Engineering
% and Computer Science, University of California, Berkeley.
%
% IN NO EVENT SHALL REGENTS BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT,
% SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS,
% ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF
% REGENTS HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
%
% REGENTS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT
% LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
% PARTICULAR PURPOSE. THE SOFTWARE AND ACCOMPANYING DOCUMENTATION, IF ANY,
% PROVIDED HEREUNDER IS PROVIDED "AS IS". REGENTS HAS NO OBLIGATION TO
% PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
function [loss_A, d_loss_A] = priorA(A, data, params)
global no_fast
if size(A,3) == 1
loss_A = 0;
d_loss_A = zeros(size(A));
mult_smooth = params.multipliers.reflectance.smooth{1} * (3/((params.A_MEDIAN_HALFWIDTH*2+1)^2))/numel(A);
if mult_smooth ~= 0
M = data.A_median_filter_mat;
M_T = data.A_median_filter_mat_T;
model = data.prior.reflectance.gray.MA.GSM;
MA = M*A(:);
[L, dL] = interp1_fixed_sum_fast(MA, model.lut.bin_range(1), model.lut.bin_width, model.lut.F_cost);
loss_A = loss_A + (mult_smooth) * sum(L(:));
d_loss_A = d_loss_A + (mult_smooth) * reshape((M_T * dL), size(A));
end
mask = data.valid;
Av = A(mask);
d_loss_Av = zeros(size(Av));
mult_entropy = params.multipliers.reflectance.entropy{1};
mult_hist = params.multipliers.reflectance.hist{1} / (8*size(Av,1));
if (mult_entropy ~= 0) || (mult_hist ~= 0)
low = data.prior.reflectance.gray.A_range(1);
high = data.prior.reflectance.gray.A_range(2);
dV = 0;
A_splat = splat1(Av, low, high);
sigma = params.multipliers.reflectance.entropy_sigma{1}/20;
if mult_entropy ~= 0
[v, dv] = renyi1_fixed_sub(Av, A_splat, sigma, 2);
loss_A = loss_A + mult_entropy * v;
dV = dV + mult_entropy * dv;
end
if mult_hist ~= 0
F = data.prior.reflectance.gray.A_spline;
v = sum(sum(sum(F .* A_splat.N)));
dv = F;
loss_A = loss_A + mult_hist * v;
dV = dV + mult_hist * dv;
end
d_loss_Av = d_loss_Av + splat1_backprop(dV, A_splat);
end
d_loss_A(mask) = d_loss_A(mask) + d_loss_Av(:);
else
d_loss_A = zeros(size(A));
mult_smooth = params.multipliers.reflectance.smooth{1};
mult_mod_smooth = (3/((params.A_MEDIAN_HALFWIDTH*2+1)^2))/numel(A);
if mult_smooth ~= 0
M = data.A_median_filter_mat;
M_T = data.A_median_filter_mat_T;
model = data.prior.reflectance.color.MA.GSM_mvn;
W = model.Sigma_whiten;
Av = reshape(A, [], 3)';
WAv = W*Av;
MAW = WAv * M_T;
mahal_dist = 0.5 * sum(MAW.^2,1)';
epsilon = params.A_SMOOTH_EPSILON{1};
if epsilon > 0
mahal_dist_soft = sqrt(mahal_dist.^2 + epsilon.^2);
else
mahal_dist_soft = mahal_dist;
end
F = model.LL_zero - model.lut.F;
[LL, dLL_dist] = interp1_fixed_sum_fast(mahal_dist_soft, model.lut.bin_range(1), model.lut.bin_width, F);
if epsilon > 0
dLL_dist = dLL_dist .* (mahal_dist ./ max(eps,mahal_dist_soft));
end
dLL = (M_T * bsxfun(@times, dLL_dist, MAW')) * W;
losses_A.smooth = mult_mod_smooth * sum(LL(:));
d_loss_A = d_loss_A + (mult_mod_smooth * mult_smooth) * reshape(dLL, size(A));
else
losses_A.smooth = 0;
end
mask = data.valid;
mask_rep = repmat(mask, [1,1,3]);
Av = reshape(A(mask_rep), [], 3);
d_loss_Av = zeros(size(Av));
mult_entropy = params.multipliers.reflectance.entropy{1};
mult_mod_entropy = 1;
mult_hist = params.multipliers.reflectance.hist{1};
mult_mod_hist = 1 / (8*size(Av,1));
if (mult_entropy ~= 0) || (mult_hist ~= 0)
sigma = params.multipliers.reflectance.entropy_sigma{1}/20;
C = data.prior.reflectance.color.A_whiten;
Av_white = Av * C;
low = data.prior.reflectance.color.bin_low;
high = data.prior.reflectance.color.bin_high;
dV = 0;
if no_fast == false
A_splat = splat3_fast_wrapper(Av_white, low, high);
else
A_splat = splat3(Av_white, low, high);
end
if mult_entropy ~= 0
[v, dv] = renyi3_fixed_sub(Av_white, A_splat, sigma, 2);
losses_A.entropy = mult_mod_entropy * v;
dV = dV + (mult_mod_entropy * mult_entropy) * dv;
else
losses_A.entropy = 0;
end
if mult_hist ~= 0
F = data.prior.reflectance.color.Aw_hist;
v = sum(sum(sum(F .* A_splat.N)));
dv = F;
losses_A.hist = mult_mod_hist * v;
dV = dV + (mult_mod_hist * mult_hist) * dv;
else
losses_A.hist = 0;
end
if no_fast == false
d_loss_Av = d_loss_Av + splat3_backprop_fast_wrapper(dV, A_splat) * C;
else
d_loss_Av = d_loss_Av + splat3_backprop(dV, A_splat) * C;
end
else
losses_A.entropy = 0;
losses_A.hist = 0;
end
loss_A = mult_smooth * losses_A.smooth + mult_entropy * losses_A.entropy + mult_hist * losses_A.hist;
d_loss_A(mask_rep) = d_loss_A(mask_rep) + d_loss_Av(:);
end