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Miniscope3D_sub_bg.m
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Miniscope3D_sub_bg.m
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%y = imread('caustics.tif');
%load('/Users/nick.antipa/Documents/Diffusers/Lensless/3D_calibration/GRIN_pupil_half_degree/Axial/calibration_5micron_20171109_111300/diffuser_miniscope_zstack_20171109.mat');
%xin = imread('caustics.tif');
%xin = imread('
%bgorig = bg_4x;
%bgorig = double(imread('~/Documents/Diffusers/Miniscope/bck_4x__H16_M12_S35.png'));
ds = 4;
bgorig = double(imread('/Users/nick.antipa/Documents/Diffusers/BigLensletScope/Calibration/bg_img_000000000_Default_130.tif'));
if numel(size(bgorig)) ~= 2
bg_4x = bgorig(:,:,2);
else
bg_4x = bgorig;
end
bg_4x = imresize(bg_4x,1/ds,'box');
%xorig = double(xin(700:(700+size(bgorig,1)-1),1000:(1000+size(bgorig,2)-1)));
%bgorig = bgorig/max(bgorig(:))*max(xorig(:))*.5;
%y = (xorig+bgorig)*.9;
b = bg_4x;
%y = zstack(:,:,16);
%yin = double(imread('~/Documents/Diffusers/Miniscope/psf_4x__H16_M3_S47.png'));
%y = imresize(yin(:,:,2),1/ds,'box');
y = imresize(double(imread('/Users/nick.antipa/Documents/Diffusers/BigLensletScope/Calibration/img_000000000_Default_130.tif')),1/ds,'box');
alpha = 3.4;
x = 40*ones(size(y));
gx = @(x,alpha)alpha*(alpha*(b+x)-y);
ga = @(x,alpha)alpha*norm(b+x)^2 - sum(sum(y.*(b+x)));
x_step = .01;
alpha_step = .0000000001;
nouter = 100;
ninner = 10;
n = 0;
h1 = figure(1), clf
h2 = figure(2), clf
fprintf('%.2f\t %i\n',norm(alpha*(x+b) - y), alpha)
f = [];
% while n < nouter
% k = 0;
% m = 0;
% n = n+1;
% fprintf('\n \n \n x \n')
% while m < ninner
% m = m + 1;
%
%
% xk = x - x_step * gx(x,alpha);
% xk = max(soft(xk,tau),0);
% x = xk;
% %alpha = alphak;
% %imagesc(x)
% %colorbar
% %drawnow
% f = cat(1,f,norm(alpha*(x+b) - y)^2);
% fprintf('%.2f\t %i\n',f(end), alpha)
% end
% fprintf('\n\n\n')
% fprintf('alpha \n')
% while k < ninner
%
% k = k+1;
% alpha = max(alpha - alpha_step * ga(xk,alpha),0);
% %imagesc(x)
% %colorbar
% %drawnow
% f = cat(1,f,norm(alpha*(x+b) - y)^2);
% fprintf('%.2f\t %i\n',f(end), alpha)
% end
% if mod(n,1)==0
% set(0,'CurrentFigure',h1)
% imagesc(x)
% colorbar
% drawnow
% fprintf('%.2f\t %i\n',norm(alpha*(x+b) - y)^2 + sum(abs(vec(x)))*tau, alpha)
% set(0,'CurrentFigure',h2)
% semilogy(f)
% drawnow
% end
%
% end
%% Try ADMM
%b = max(bg_4x(:))*(bg_4x/max(bg_4x(:))).^(.8);
%b = bgorig;
n = 0;
v = ones(size(x));
w = v;
u = w;
niter = 1000;
alpha1 = v;
alpha2 = v;
alpha =1;
alpha3 = v;
mu1 = .5
mu2 = .1
mu3 = .5
tau = 40000/2000*6;
f = [];
resid_tol = 1.5;
mu_inc = 1.1;
mu_dec = 1.1;
% while n < niter
% n = n+1;
% alpha = sqrt(abs(sum(sum(v.*y))/sum(sum(v.*v))));
% %alpha = .75;
% uk = u;
% vk = v;
% wk = w;
% xk = x;
% u = soft(x + alpha1/mu1, tau/mu1);
% v = mu2*(b+x) - alpha2 + alpha*y;
% w = max(w+alpha3/mu3,0);
% x = ((mu1*u - alpha1 + mu2*(v-b) + alpha2 + mu3*w - alpha3)/(mu1+mu2+mu3));
% du = uk-u;
% ru = x-u;
% dv = vk - v;
% rv = v-b-x;
% dw = wk - w;
% rw = x-w;
% alpha1 = alpha1 + mu1*ru;
% alpha2 = alpha2 + mu2*rv;
% alpha3 = alpha3 + mu3*rw;
% [mu1, ~] = update_param(mu1,resid_tol,mu_inc,mu_dec,norm(ru,'fro'),norm(mu1*du,'fro'));
% [mu2, ~] = update_param(mu2,resid_tol,mu_inc,mu_dec,norm(rv,'fro'),norm(mu2*dv,'fro'));
% [mu3, ~] = update_param(mu3,resid_tol,mu_inc,mu_dec,norm(rw,'fro'),norm(mu3*dw,'fro'));
%
% f = cat(1,f,norm(alpha*(x+b) - y)^2);
%
% set(0,'CurrentFigure',h2)
% semilogy(f)
% fprintf('%.2f\t%.2f \t %.2f \t%.2f \t%i\n',f(end), norm(x-u,'fro'),norm(x+b-v,'fro'),norm(w-x,'fro'),alpha)
% drawnow
%
% set(0,'CurrentFigure',h1)
% imagesc(x)
% colormap parula
% axis image
% colorbar
% drawnow
% end
while n < niter
n = n+1;
alpha = sqrt(abs(sum(sum(v.*y))/sum(sum(v.*v))));
%alpha = .75;
uk = u;
vk = v;
wk = w;
xk = x;
u = soft(x*alpha + alpha1/mu1*alpha, tau/mu1);
v = mu2*(b+alpha*x) - alpha2 + alpha*y;
w = max(w+alpha3/mu3,0);
x = ((mu1*u - alpha1 + mu2*(v-b) + alpha2 + mu3*w - alpha3)/(mu1+mu2+mu3));
du = uk-u;
ru = x-u;
dv = vk - v;
rv = v-b-x;
dw = wk - w;
rw = x-w;
alpha1 = alpha1 + mu1*ru;
alpha2 = alpha2 + mu2*rv;
alpha3 = alpha3 + mu3*rw;
[mu1, ~] = update_param(mu1,resid_tol,mu_inc,mu_dec,norm(ru,'fro'),norm(mu1*du,'fro'));
[mu2, ~] = update_param(mu2,resid_tol,mu_inc,mu_dec,norm(rv,'fro'),norm(mu2*dv,'fro'));
[mu3, ~] = update_param(mu3,resid_tol,mu_inc,mu_dec,norm(rw,'fro'),norm(mu3*dw,'fro'));
f = cat(1,f,norm(alpha*(x+b) - y)^2);
set(0,'CurrentFigure',h2)
semilogy(f)
fprintf('%.2f\t%.2f \t %.2f \t%.2f \t%i\n',f(end), norm(x-u,'fro'),norm(x+b-v,'fro'),norm(w-x,'fro'),alpha)
drawnow
set(0,'CurrentFigure',h1)
imagesc(x)
colormap parula
axis image
colorbar
drawnow
end