Hi HyoJae,
I understand that you want to make a quarter circle which is just large enough to cover the entire white region in your binary image. Assuming the white region is always at the lower-right corner of the image, you can follow the steps mentioned below:
- Find the coordinates of points in the white region.
- Find the point belonging to the white region, which is at the maximum distance from the lower-right corner of the image.
- Use the maximum distance obtained as the radius to draw the quarter circle.
Here is the implementation of above steps in MATLAB:
binaryImage=imread("BW_20220804_0301.jpg");
% Step 1: Find the coordinates of the white object
[rows, cols] = find(binaryImage == 1);
minX = min(cols);
maxY = max(rows);
% Step 2: Calculate the radius of the quarter circle
fig_size=2150;
radius= max(sqrt((cols-fig_size).^2 + (rows-fig_size).^2))
% Step 3: Draw the quarter circle on the image
figure;
imshow(binaryImage); % Replace 'yourImage' with your actual image
hold on;
% Calculate the center point of the quarter circle
center = [size(binaryImage, 2), size(binaryImage, 1)];
% Draw the quarter circle using the 'rectangle' function
rectangle('Position', [center(1) - radius, center(2) - radius, radius*2, radius*2], ...
'Curvature', [1, 1], 'EdgeColor', 'r', 'LineWidth', 2);
hold off;
To determine the extent to which the white region deviates from an ideal quarter circle, you can calculate the area difference between the white region and the corresponding ideal quarter circle.
I hope this helps.
