1 内容介绍
基于粒子群优化的改进模糊聚类图像分割算法将微粒群搜索聚类中心作为图像分割的聚类初值,克服了FCM分割算法对聚类中心初值敏感的缺点,大幅提高了图像分割算法的计算速度。改进的模糊聚类图像分割算法,一方面考虑到像素的空间位置信息和相互邻域之间像素有很大的相关性,在目标函数中引入邻域惩罚函数;另一方面提出聚类在二维方向上进行更新的思想,建立了包含邻域单元熵的新聚类目标函数。实验结果表明,该方法可以使模糊聚类的速度得到明显提高,对初始聚类中心不敏感,抗噪能力强,是一种有效的模糊聚类图像分割方法。
2 仿真代码
clc;
clear;
close all;
%% Problem Definition
img= double(imread('test.png'));
[s1,s2,s3]=size(img);
Rplane = img(:,:,1);
Gplane = img(:,:,2);
Bplane = img(:,:,3);
X1 = (Rplane-min(Rplane(:)))/(max(Rplane(:))-min(Rplane(:)));
X2 = (Gplane-min(Gplane(:)))/(max(Gplane(:))-min(Gplane(:)));
X3 = (Bplane-min(Bplane(:)))/(max(Bplane(:))-min(Bplane(:)));
% taking R-plane, B-plane, G-plane values as features
X = [X1(:) X2(:) X3(:)];
k = 4; % no. of clusters
CostFunction=@(m) ClusteringCost2(m, X); % Cost Function m = [3x2] cluster centers
VarSize=[k size(X,2)]; % Decision Variables Matrix Size = [4 3]
nVar=prod(VarSize); % Number of Decision Variables = 12
VarMin= repmat(min(X),1,k); % Lower Bound of Variables [4x1] of[1x3] = [4x3]
VarMax= repmat(max(X),1,k); % Upper Bound of Variables [4x1] of[1x3] = [4x3]
ga_opts = optimoptions('particleswarm','display','iter','MaxTime',600);
[centers, err_ga] = particleswarm(CostFunction, nVar,VarMin,VarMax,ga_opts);
m=centers;
% Calculate Distance Matrix
g=reshape(m,3,4)'; % create a cluster center matrix(4(clusters) points in 3(features) dim plane)=[4x3]
d = pdist2(X, g); % create a distance matrix of each data points in input to each centers = [(s1*s2)x4]
% Assign Clusters and Find Closest Distances
[dmin, ind] = min(d, [], 2);
% ind value gives the cluster number assigned for the input = [(s1*s2)x1]
% Sum of Within-Cluster Distance
WCD = sum(dmin);
z=WCD; % fitness function contain sum of each data point to their corresponding center value set (aim to get it minimum)
% z = [1 x 1]
outimg=reshape(ind,s1,s2);
for i=1:s1
for j=1:s2
if outimg(i,j)== 1
outimg(i,j)= 0;
elseif outimg(i,j)== 2
outimg(i,j)= 85;
elseif outimg(i,j)== 3
outimg(i,j)= 170;
elseif outimg(i,j)== 4
outimg(i,j)= 255;
end
end
end
figure;imshow(uint8(outimg));
3 运行结果
编辑
4 参考文献
[1]江毅, 张彤, 熊珍珍. 基于粒子群聚类算法的陶瓷图像分割方法[J]. 陶瓷学报, 2016, 37(5):7.
[1]刘欢, 肖根福. 基于粒子群的改进模糊聚类图像分割算法[J]. 计算机工程与应用, 2013, 49(13):152-155.
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