Minimum distance between two objects
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@Image Analyst Hello, I tried to find the minimum distance bewteen two objects as per the code you provided on a similar post- 'test3.m' but I am unable to find the distance. Instead, I am able to find the distance from the boundary of the image to one of the objects. I need to find the minimum distance between the two bones, I am attaching two images, an input and an output image for your review, and I am also attaching the code for you took review, please help me find the minimum distance. Thank you.
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Accepted Answer
Matt J
on 24 Apr 2021
Edited: Matt J
on 24 Apr 2021
load('Bones')
reg=regionprops(Image,'PixelList');
[D,I1] = pdist2(reg.PixelList,'euclidean','Smallest',1);
[minDistance,I2]=min(D);
minDistance,
imshow(Image)
hold on
xy=num2cell([reg(1).PixelList(I1(I2),:);reg(2).PixelList(I2,:)],1);
line(xy{:},'Color','c','LineWidth',3);
axis([113.0131 208.1735 186.9023 282.0627])
hold off
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More Answers (1)
Image Analyst
on 26 Apr 2021
@Vihan P, see code adapted for your image. I also did it both ways, using sqrt(), where I just plotted one of the closest pairs, and pdist2() where I plotted all 3 of the closest pairs. If it helps you, please vote for the answer. I also answered you in your original "Answer" in the other person's thread where you first asked this.
clc; % Clear the command window.
close all; % Close all figures (except those of imtool.)
clear; % Erase all existing variables. Or clearvars if you want.
workspace; % Make sure the workspace panel is showing.
format long g;
format compact;
fprintf('Beginning to run %s.m ...\n', mfilename);
fontSize = 13;
% Check that user has the Image Processing Toolbox installed.
hasIPT = license('test', 'image_toolbox');
if ~hasIPT
% User does not have the toolbox installed.
message = sprintf('Sorry, but you do not seem to have the Image Processing Toolbox.\nDo you want to try to continue anyway?');
reply = questdlg(message, 'Toolbox missing', 'Yes', 'No', 'Yes');
if strcmpi(reply, 'No')
% User said No, so exit.
return;
end
end
%===============================================================================
% Read in a standard MATLAB color demo image.
folder = pwd; %'C:\Users\Lakshya\Documents\Temporary';
baseFileName = 'knee.png';
% Get the full filename, with path prepended.
fullFileName = fullfile(folder, baseFileName);
if ~exist(fullFileName, 'file')
% Didn't find it there. Check the search path for it.
fullFileName = baseFileName; % No path this time.
if ~exist(fullFileName, 'file')
% Still didn't find it. Alert user.
errorMessage = sprintf('Error: %s does not exist.', fullFileName);
uiwait(warndlg(errorMessage));
return;
end
end
grayImage = imread(fullFileName);
% Get the dimensions of the image. numberOfColorBands should be = 3.
[rows, columns, numberOfColorBands] = size(grayImage);
% Display the original image.
subplot(2, 2, 1);
imshow(grayImage);
axis on;
title('Original Gray Scale Image', 'FontSize', fontSize);
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
% Binarize the image
binaryImage = imbinarize(grayImage);
% Display the image.
subplot(2, 2, 2);
imshow(binaryImage);
title('Binary Image', 'FontSize', fontSize);
% Fill the outline to make it solid so we don't get boundaries
% on both the inside of the shape and the outside of the shape.
binaryImage = imfill(binaryImage, 'holes');
% Display the image.
subplot(2, 2, 3);
imshow(binaryImage);
% bwboundaries() returns a cell array, where each cell contains the row/column coordinates for an object in the image.
% Plot the borders of all the coins on the original grayscale image using the coordinates returned by bwboundaries.
hold on;
boundaries = bwboundaries(binaryImage);
numberOfBoundaries = size(boundaries, 1);
for k = 1 : numberOfBoundaries
thisBoundary = boundaries{k};
plot(thisBoundary(:,2), thisBoundary(:,1), 'r', 'LineWidth', 3);
end
title('Filled Binary Image with Boundaries', 'FontSize', fontSize);
hold off;
% Define object boundaries
numberOfBoundaries = size(boundaries, 1)
boundary1 = boundaries{1};
boundary2 = boundaries{2};
boundary1x = boundary1(:, 2);
boundary1y = boundary1(:, 1);
x1=1;
y1=1;
x2=1;
y2=1;
overallMinDistance = inf; % Initialize.
index1 = 1;
index2 = 1;
for k = 1 : length(boundary2)
boundary2x = boundary2(k, 2);
boundary2y = boundary2(k, 1);
% For this blob, compute distances from boundaries to edge.
allDistances = sqrt((boundary1x - boundary2x).^2 + (boundary1y - boundary2y).^2);
% Find closest point, min distance.
[minDistance(k), indexOfMin] = min(allDistances);
if minDistance(k) < overallMinDistance
overallMinDistance = minDistance(k);
x1 = boundary1x(indexOfMin);
y1 = boundary1y(indexOfMin);
x2 = boundary2x;
y2 = boundary2y;
index2 = k;
index1 = indexOfMin;
end
end
% Report to command window.
fprintf('Min Distance from sqrt() method = %f at index %d of boundary 1 and index %d of boundary 2.\n', ...
overallMinDistance, index1, index2);
hFig = figure;
h1 = subplot(1, 2, 1);
imshow(binaryImage);
axis on;
title('Closest Distance from sqrt()', 'FontSize', fontSize);
h2 = subplot(1, 2, 2);
imshow(binaryImage);
axis on;
title('Closest Distances from pdist2()', 'FontSize', fontSize);
hFig.WindowState = 'maximized';
hold on;
% Draw a line between point 1 and 2
line(h1, [x1, x2], [y1, y2], 'Color', 'y', 'LineWidth', 3);
%======================================================================================
% For comparison, use pdist2()
allDistances2 = pdist2(boundary1, boundary2);
minDistance2 = min(allDistances2(:));
% Find all points that have that min distance - there may be several that have it.
[r, c] = find(allDistances2 == minDistance2)
boundary1x = boundary1(:, 2);
boundary1y = boundary1(:, 1);
boundary2x = boundary2(:, 2);
boundary2y = boundary2(:, 1);
for k = 1 : length(r)
% Report to command window.
index1 = r(k);
index2 = c(k);
fprintf('Min Distance from pdist2() method = %f at index %d of boundary 1 and index %d of boundary 2.\n', ...
minDistance2, index1, index2);
xLine = [boundary1x(index1), boundary2x(index2)];
yLine = [boundary1y(index1), boundary2y(index2)];
line(h2, xLine, yLine, 'Color', 'm', 'LineWidth', 1.5);
end
You can't see the magenta lines in the right image very well, but they're there.
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