create a matlab function that takes a binary image as input and outputs the vertices of the point of each object closest to the center of the image in matlab

main.m
function [vertices] = find_vertices_closest_to_center(bin_image)
% FIND_VERTICES_CLOSEST_TO_CENTER Find the vertices of the object closest to the center.
% Inputs:
%   - bin_image : A binary image
% Outputs:
%   - vertices  : A matrix containing the coordinates of vertices closest to the center of image

% Find the centroid of the binary image
stat = regionprops('table', bin_image, 'Centroid');
centroid = stat.Centroid;

% Compute distance of each object's centroid from the image center
[rows,cols] = size(bin_image);
num_obj = max(max(bwlabel(bin_image)));
distances = zeros(num_obj,1);
for i=1:num_obj
    obj = (bwlabel(bin_image) == i);
    obj_stat = regionprops('table', obj, 'Centroid');
    obj_centroid = obj_stat.Centroid;
    distances(i) = sqrt((obj_centroid(1)-cols/2)^2+(obj_centroid(2)-rows/2)^2);
end

[~,idx] = min(distances);
obj = (bwlabel(bin_image) == idx);

% Perform dilations to smoothen the object edges
se = strel('disk', 5);
dilated = imdilate(obj, se);

% Compute the convex hull of the object
boundary = bwboundaries(dilated);
boundary = boundary{1};
k = boundary(:, 2);
l = boundary(:, 1);
k(end+1) = k(1);
l(end+1) = l(1);
mask = poly2mask(k, l, rows, cols);
vertices = bwboundaries(mask);
vertices = vertices{1};
end
1254 chars
41 lines