MATLAB: How can i count the number of circles with random centers and fixed diameters.

I want to get a plot of size of circles(pixels) vs. their numbers. Example 10 of 20 pixels, 15 of 10 pixels size etc.. the background should be contrast of intensity of the circles..

Best Answer

See my Image Segmentation Tutorial. It determines the size distribution of circles (coins). http://www.mathworks.com/matlabcentral/fileexchange/25157-image-segmentation-tutorial-blobsdemo You just need to call bar() to display them.
You might also try imfindcircles() in the Image Processing Toolbox, or see Brett's demo: http://www.mathworks.com/matlabcentral/fileexchange/34365-findcirclesgui
clc; % Clear the command window.
close all; % Close all figures (except those of imtool.)
clear; % Erase all existing variables.
workspace; % Make sure the workspace panel is showing.
format longg;
format compact;
fontSize = 20;
% Get centroid via bwboundaries and incorrect method.
rgbImage = imread('D:\Temporary stuff\welcome-green-circles-layout.jpg');
subplot(2, 2, 1);
imshow(rgbImage);
title('Original Image', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
% Get centroid correctly via regionprops
binaryImage = rgbImage(:,:,1) < 200;
subplot(2, 2, 2);
imshow(binaryImage);
title('Binary Image with Centroids', 'FontSize', fontSize);
hold on;
measurements = regionprops(binaryImage, 'Centroid', 'Area');
numberOfCircles = length(measurements);
allAreas = [measurements.Area]
for k = 1 : numberOfCircles
centroid = [measurements(k).Centroid];
xCenter = centroid(1);
yCenter = centroid(2);
plot(xCenter, yCenter, 'b+');
end
[counts values] = hist(allAreas);
subplot(2, 2, 3);
bar(values, counts);
grid on;
title('Histogram of Areas (the size distribution)', 'FontSize', fontSize);
message = sprintf('The number of circles is %d', numberOfCircles);
msgbox(message);