%% Image segmentation by WFCM
% WFCM refer to 'Fuzzy cluster analysis and its application' by Teacher
% Gao, Published by xidian
% we first implement one thresholding segmentation, then auto
% multi-thresholding
% we also used two-dimentional gray histogram
% Algorithm by Teacher Xinbo Gao, implemented by Lin Zhao, VIPS Lab;
%% Code Follows
clear;clc;close all;
inputim = imread('TestImage\lena.bmp'); inputim = rgb2gray(inputim);
figure;imshow(inputim,[]);
% count 1D histogram or 2D histogram
[h,x] = imhist(inputim); figure;stem(x,h);
nst = imhist2(inputim);
count = 0:1:255;
% count = nst;
% compute the weighted coefficient wi
w = h'./sum(h');
% iteration to compute the center of clustering,here c=2
vc1 = 64; vc2 = 192; % initialization
v1 = 0; v2 = 0; n = 0;
while (abs(v1-vc1)>2)||(abs(v2-vc2)>2)
if n ~= 0
vc1 = v1; vc2 = v2;
end
% update uij
for j = 1:1:2
if j == 1
vc = vc1;
else
vc = vc2;
end
end
% compute the threholding
t = (vc1+vc2)/2;
T = repmat(t,size(inputim,1),size(inputim,2));
outputim = inputim>T;
outputim = double(outputim);
figure;imshow(outputim,[]);
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