MATLAB: I want to calculate the perpendicular distance between one point on line (A) and another on line B

image analysisimage processingStatistics and Machine Learning Toolbox

I want to be able to find the maximum and minimum distance in the given image that I worked on using a couple of filters and got it's boundaries using bwboundaries(). I have the x and y positions of all the points. I also have the distance between two points on the same line.

Last thing . . . is there a way to show the perpendicular line that is being measured between the two points?

Thank you in advance

Best Answer

Sure. If you have the stats toolbox, simply use pdist2():

distances = pdist2(xy1, xy2);

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MATLAB: How to calculate the shortest distance between points and a line

You can use the point_to_line_distance function.

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If I understand correctly what you want to do, this works.

The Code —

xy = rand(5, 2);
centrd = mean(xy);                                                                  % Calculate Centroid
[dist1,idx1] = pdist2(xy, centrd, 'euclidean', 'Smallest', size(xy,1));             % Distances From Centroid
centre_point = xy(idx1(1),:);                                                       % Point With Shortest Distance To Centroid
[distances,idx2] = pdist2(xy, centre_point, 'euclidean', 'Smallest', size(xy,1));   % Distances From Centre Point
Distance_Sum = sum(distances);                                                      % Sum Of Distances To Centre Point
figure(1)
plot(xy(:,1), xy(:,2), 'pg', 'MarkerSize',10, 'MarkerFaceColor','g')
hold on
plot([repmat(centre_point(1),size(xy,1),1) xy(:,1)]', [repmat(centre_point(2),size(xy,1),1) xy(:,2)]')
hold off
grid
text(centrd(1), centrd(2), sprintf('\\Sigma \\itdist\\rm = %.4f',Distance_Sum), 'FontSize',10)

The Plot —

Best Answer

Related Solutions

MATLAB: How to calculate the shortest distance between points and a line

MATLAB: Draw lines from one point to the all others

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