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⛄ 内容介绍
本文提出了一种麻雀优化Tsallis相对熵的图像多阈值分割算法.首先分析了Tsallis相对熵阈值分割原理,并将其推广到多阈值分割.利用高斯分布拟合分割后的图像直方图信息,利用Tsallis相对熵作为衡量最佳分割阈值的度量函数.将麻雀优化算法与Tsallis相对熵度量函数结合,求解Tsallis相对熵函数的最优解,提高阈值分割算法的速度.最后将所提算法并且与经典的Otsu算法和基于二维熵的多阈值分割法进行对比.实验结果表明所提算法速度快,准确性高能够用于图像的多阈值分割.
⛄ 部分代码
%_________________________________________________________________________%
% 麻雀优化算法 %
%_________________________________________________________________________%
function [Best_pos,Best_score,curve]=SSA(pop,Max_iter,lb,ub,dim,fobj)
ST = 0.6;%预警值
PD = 0.7;%发现者的比列，剩下的是加入者
SD = 0.2;%意识到有危险麻雀的比重
PDNumber = round(pop*PD); %发现者数量
SDNumber = round(pop*SD);%意识到有危险麻雀数量
if(max(size(ub)) == 1)
ub = ub.*ones(1,dim);
lb = lb.*ones(1,dim);
end
%种群初始化
X0=initialization(pop,dim,ub,lb);
X = X0;
%计算初始适应度值
fitness = zeros(1,pop);
for i = 1:pop
fitness(i) = fobj(X(i,:));
end
[fitness, index]= sort(fitness);%排序
BestF = fitness(1);
WorstF = fitness(end);
GBestF = fitness(1);%全局最优适应度值
for i = 1:pop
X(i,:) = X0(index(i),:);
end
curve=zeros(1,Max_iter);
GBestX = X(1,:);%全局最优位置
X_new = X;
for i = 1: Max_iter
BestF = fitness(1);
WorstF = fitness(end);
R2 = rand(1);
for j = 1:PDNumber
if(R2<ST)
X_new(j,:) = X(j,:).*exp(-j/(rand(1)*Max_iter));
else
X_new(j,:) = X(j,:) + randn()*ones(1,dim);
end
end
for j = PDNumber+1:pop
% if(j>(pop/2))
if(j>(pop - PDNumber)/2 + PDNumber)
X_new(j,:)= randn().*exp((X(end,:) - X(j,:))/j^2);
else
%产生-1，1的随机数
A = ones(1,dim);
for a = 1:dim
if(rand()>0.5)
A(a) = -1;
end
end
AA = A'*inv(A*A');
X_new(j,:)= X(1,:) + abs(X(j,:) - X(1,:)).*AA';
end
end
Temp = randperm(pop);
SDchooseIndex = Temp(1:SDNumber);
for j = 1:SDNumber
if(fitness(SDchooseIndex(j))>BestF)
X_new(SDchooseIndex(j),:) = X(1,:) + randn().*abs(X(SDchooseIndex(j),:) - X(1,:));
elseif(fitness(SDchooseIndex(j))== BestF)
K = 2*rand() -1;
X_new(SDchooseIndex(j),:) = X(SDchooseIndex(j),:) + K.*(abs( X(SDchooseIndex(j),:) - X(end,:))./(fitness(SDchooseIndex(j)) - fitness(end) + 10^-8));
end
end
%边界控制
for j = 1:pop
for a = 1: dim
if(X_new(j,a)>ub(a))
X_new(j,a) =ub(a);
end
if(X_new(j,a)<lb(a))
X_new(j,a) =lb(a);
end
end
end
%更新位置
for j=1:pop
fitness_new(j) = fobj(X_new(j,:));
end
for j = 1:pop
if(fitness_new(j) < GBestF)
GBestF = fitness_new(j);
GBestX = X_new(j,:);
end
end
X = X_new;
fitness = fitness_new;
%排序更新
[fitness, index]= sort(fitness);%排序
BestF = fitness(1);
WorstF = fitness(end);
for j = 1:pop
X(j,:) = X(index(j),:);
end
curve(i) = GBestF;
end
Best_pos =GBestX;
Best_score = curve(end);
end
⛄ 运行结果
⛄ 参考文献
[1]李粉红、卢晶、张志光. 一种风驱动优化Tsallis相对熵的图像多阈值分割方法[J]. 红外技术, 2020, 42(10):7.
[2]吕鑫, 慕晓冬, 张钧. 基于改进麻雀搜索算法的多阈值图像分割[J]. 系统工程与电子技术, 2021.
