MATLAB: How to find the distance between a reference point and other desired boundary points of an object in a binary image

distance calculationeuclideanImage Processing Toolboxpythagorean theorem

Hi,

I have a binary image of the human foot and need help in finding the distance between the centroid and the tip of the toes of the foot. In total, I need five measurements of distances between the centroid and the tip of each toe.

Thank you

Best Answer

Let's say (xctr, yctr) is the location of the centroid, and x and y are the coordinate arrays of the other points. Then the distances are:

boundaries = bwboundaries(binaryImage);
x = boundaries{1}(:, 2);
y = boundaries{1}(:, 1);
distances = sqrt((x-xctr).^2 + (y-yctr).^2);

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boundaries=bwboundaries(handImage1);    % get;s the boudaries of the feature present in the image, the output is cell
x = boundaries{1}(:, 2);   % select x coordinates of first boundary 
y = boundaries{1}(:, 1);   % select y coordinates of first boundary 
hold on;
plot(x, y, 'black', 'LineWidth', 2);  % plotting the first boundary 
newImage = bwlabel(handImage1);       % labelling the image 
measurements = regionprops(newImage, 'Centroid', 'BoundingBox');  % get the properits of the region 
% picking the centroid of the first label 
xCentroid = measurements.Centroid(1);
yCentroid = measurements.Centroid(2);
subplot(2, 2, 4);   % sub plotting 
imshow(newImage);   % shows image 
title('Binary Image with Centroid Marked'); 
hold on;
plot(xCentroid, yCentroid, 'r*', 'MarkerSize', 10, 'LineWidth', 2);   % plotting the coentorid

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