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How can I find the centre of gravity of an image?

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Tola
Tola 2013-3-19
移动：DGM 2023-2-13
I tried regionprops but it is giving out more than one centroid and I need the centre of gravity of the entire image. Thank you.
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Walter Roberson
Walter Roberson 2013-3-19
Do the different colors correspond to different densities? If so then you need to know how color maps to density in order to find the center of gravity.

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Image Analyst
Image Analyst 2013-3-19
You need to have the binary image be the entire image. Just do something like this (untested):
binaryImage = true(size(grayImage));
measurements = regionprops(binaryImage, grayImage, 'WeightedCentroid');
cog = measurements(1).WeightedCentroid;
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Image Analyst
Image Analyst 2022-3-19
移动：DGM 2023-2-13
Ran in:
OK, here's a nested for loop way of doing it that doesn't use regionprops():
grayImage = imread('moon.tif');
[rows, columns, numberOfColorChannels] = size(grayImage);
imshow(grayImage);
axis('on', 'image');
sumgx = 0;
sumgy = 0;
sumg = 0;
for col = 1 : columns
for row = 1 : rows
gl = double(grayImage(row, col));
sumg = sumg + gl;
sumgx = sumgx + col * gl;
sumgy = sumgy + row * gl;
end
end
xCOG = sumgx / sumg
xCOG = 148.8500
yCOG = sumgy / sumg
yCOG = 263.7007
hold on
xline(xCOG, 'LineWidth', 2, 'Color','r');
yline(yCOG, 'LineWidth', 2, 'Color','r');
caption = sprintf('Center of Gravity: (%.2f, %.2f)', xCOG, yCOG);
title(caption, 'FontSize', 18)
Lieu-Kim Dang
Lieu-Kim Dang 2022-3-19
移动：DGM 2023-2-13
@ImageAnalyst
This code works perfect for me! Thank you so much for your incessantly efforts!
I appreciate a lot your help.

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