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% mask = auto_mask_find(im,[<name>,<value>])
%
% im Input complex valued image
%
% Optional parameters:
%
% margins Two element array that indicates the (y,x) margins to exclude
% from the edge of the mask window. For example to exclude the
% noise around ptychography reconstructions, default 0.
% smoothing Size of averaging window on the phase derivative, default
% 10.
% gradientrange Size of the histogram windown when selecting valid gradient
% regions, in radians per pixel, default 1;
% show_bivariate Show the bivariate histogram of the gradient, useful
% for debugging. Set to the number of figure you'd like
% it to appear.
%
% Morphological operations to remove point details in the mask
%
% close_size Size of closing window, removes dark bubbles from the mask,
% default 15. ( = 1 for no effect)
% open_size Size of opening window, removes bright bubbles from mask,
% default 120. ( = 1 for no effect)
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  Except where otherwise noted, this work is licensed under a          |
%|  Creative Commons Attribution-NonCommercial-ShareAlike 4.0            |
%|  International (CC BY-NC-SA 4.0) license.                             |
%|                                                                       |
%|  Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch)    |
%|                                                                       |
%|      Author: CXS group, PSI  |
%*-----------------------------------------------------------------------*
% You may use this code with the following provisions:
%
% If the code is fully or partially redistributed, or rewritten in another
% computing language this notice should be included in the redistribution.
%
% If this code, or subfunctions or parts of it, is used for research in a
% publication or if it is fully or partially rewritten for another
% computing language the authors and institution should be acknowledged
% in written form in the publication: Data processing was carried out
% using the cSAXS matlab package developed by the CXS group,
% Paul Scherrer Institut, Switzerland.
% Variations on the latter text can be incorporated upon discussion with
% the CXS group if needed to more specifically reflect the use of the package
% for the published work.
%
% A publication that focuses on describing features, or parameters, that
% are already existing in the code should be first discussed with the
% authors.
%
% This code and subroutines are part of a continuous development, they
% are provided as they are without guarantees or liability on part
% of PSI or the authors. It is the user responsibility to ensure its
% proper use and the correctness of the results.
function mask = auto_mask_find(im,varargin)
import plotting.franzmap
% Defaults
margin = [0 0];
smoothing = 10;
gradientrange = 1;
close_size = 15;
open_size = 120;
show_bivariate = 0;
zero_columns = [];
% parse the variable input arguments not handled by auto_mask_find
vararg = cell(0,0);
for ind = 1:2:length(varargin)
name = varargin{ind};
value = varargin{ind+1};
switch lower(name)
case 'margin'
margin = value;
case 'smoothing'
smoothing = value;
case 'gradientrange'
gradientrange = value;
case 'close_size'
close_size = value;
case 'open_size'
open_size = value;
case 'show_bivariate'
show_bivariate = value;
case 'zero_columns'
zero_columns = value;
otherwise
vararg{end+1} = name;
vararg{end+1} = value;
end
end
% Some checks
if numel(margin)~= 2
error('Margin variable should have two elements')
end
if close_size < 1
error('erode_size must be an integer 1 or greater')
end
if open_size < 1
error('erode_size must be an integer 1 or greater')
end
if gradientrange < 0
error('gradientrange must be positive')
end
mask = true(size(im));
mask(1:1+margin(1),:) = false;
mask(end-margin(1):end,:) = false;
mask(:,1:1+margin(2)) = false;
mask(:,end-margin(2):end) = false;
if ~isempty(zero_columns)
mask(:,zero_columns) = false;
end
% Compute phase gradient based on phasor
ph = exp(1i*angle(im));
[gx, gy] = gradient(ph);
gx = -real(1i*gx./ph);
gy = -real(1i*gy./ph);
kernel = ones(smoothing);
gx = conv2(gx,kernel,'same');
gy = conv2(gy,kernel,'same');
gaux(:,1) = gy(mask(:));
gaux(:,2) = gx(mask(:));
[N,C] = hist3_own(gaux,[100 100]);
[ny nx] = find(N == max(N(:)),1);
% masky = (gy>C{1}(ny-gradientrange))&(gy<C{1}(ny+gradientrange));
% maskx = (gx>C{2}(nx-gradientrange))&(gx<C{2}(nx+gradientrange));
masky = (gy>C{1}(ny)-gradientrange)&(gy<C{1}(ny)+gradientrange);
maskx = (gx>C{2}(nx)-gradientrange)&(gx<C{2}(nx)+gradientrange);
maskxy = maskx&masky;
% figure(1000); imagesc(masky); axis xy; colormap franzmap
% % Erosion
% erodemask = ones(erode_size);
% maskxy = erode_own(maskxy,erodemask);
%
% % Dilation
% dilatemask = ones(dilate_size);
% maskxy = dilate_own(maskxy,dilatemask);
maskxy = close_own(maskxy,ones(close_size));
maskxy = open_own(maskxy,ones(open_size));
mask = mask&maskxy;
if show_bivariate > 0
figure(show_bivariate);
imagesc(log10(N));
colormap franzmap
end
end
function imout = erode_own(im,erodemask)
% My own erosion to avoid using Image Processing Toolbox
% Receives a binary image and kernel and performs erosion of the image
erodemask = erodemask/sum(erodemask(:));
imout = conv2(double(im),erodemask,'same');
imout = imout>0.99999;
end
function imout = dilate_own(im,dilatemask)
% My own dilation to avoid using Image Processing Toolbox
% Receives a binary image and kernel and performs erosion of the image
dilatemask = dilatemask/sum(dilatemask(:));
imout = conv2(double(im),dilatemask,'same');
imout = imout>0;
end
function imout = open_own(im,openmask)
imout = dilate_own(erode_own(im,openmask),openmask);
end
function imout = close_own(im,closemask)
imout = erode_own(dilate_own(im,closemask),closemask);
end
function [histout, C] = hist3_own(gaux,bins)
eps = 0.001; % esther
min_gaux1 = min(gaux(:,1));
max_gaux1 = max(gaux(:,1));
inter_1 = (max_gaux1-min_gaux1)/bins(1);
min_gaux2 = min(gaux(:,2));
max_gaux2 = max(gaux(:,2));
inter_2 = (max_gaux2-min_gaux2)/bins(2);
indarray1 = floor( (1-eps)*bins(1)*( gaux(:,1)-min_gaux1 )./( max_gaux1-min_gaux1 ) + 1 );
indarray2 = floor( (1-eps)*bins(2)*( gaux(:,2)-min_gaux2 )./( max_gaux2-min_gaux2 ) + 1 );
histout = zeros(bins);
for ii = 1:numel(indarray1)
histout(indarray1(ii),indarray2(ii)) = histout(indarray1(ii),indarray2(ii)) + 1;
end
C{1} = linspace(min_gaux1+inter_1/2,max_gaux1-inter_1/2,bins(1));
C{2} = linspace(min_gaux2+inter_2/2,max_gaux2-inter_2/2,bins(2));
end