matlab 计算灰度图像的一阶矩,二阶矩,三阶矩实例

close all;clear all;clc;
J = imread('lena.jpg');
K = imadjust(J,[70/255 160/255],[]);
figure;
subplot(121),imshow(J);
subplot(122),imshow(K);
[m,n] = size(J);
mm = round(m/2);
mn = round(n/2);
[p,q] = size(K);
pp = round(p/2);
qq = round(q/2);
J = double(J);
K = double(K);
colorsum = 0.0;
Javg = mean2(J) %求原图像一阶矩
Kavg = mean2(K) %求增强对比度后的图像一阶矩
Jstd = std(std(J)) %求原图像的二阶矩，因为一次std函数表示按列求标准差，两次std表示求整个矩阵的标准差
Kstd = std(std(K)) %求增强对比度后的图像二阶矩
for i=1:mm
 for j=1:mn
  colorsum = colorsum+(J(i,j)-Javg)^3;
 end
end
Jske = (colorsum/(mm*mn))^(1/3) %求原图像的三阶矩
colorsum = 0.0;
for i=1:pp
 for j=1:qq
  colorsum = colorsum + (J(i,j)-Kavg)^3;
 end
end
Kske = (colorsum/(pp*qq))^(1/3) %求增强对比度后的图像三阶矩

I = imread(‘1.jpg');
I = rgb2gray(I);
imshow(I);
I = double(I);
[rows,cols] = size(I);
x = ones(rows,1)*[1:cols];
y = [1:rows]'*ones(1,cols);
area = sum(sum(I));
meanx = sum(sum(I.*x))/area;
meany = sum(sum(I.*y))/area;
hold on;
plot(meanx,meany,'r+'); %十字标出重心位置