How to find which are the nearest points to the line segment?

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ARGY B 2019-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/471358-how-to-find-which-are-the-nearest-points-to-the-line-segment

回答： Image Analyst 2019-7-11

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I have a vector X size 50x1 and a vector Y size 50x1. If i

plot(X, Y, 'r+')

then I get the rays you can see at the plot (there are 50 but here you see only from ray 20 until aprox.46).

I also have a line segment (blue line). How i can find that the blue line is betweem the ray 35 and the ray 36? Now I can say it only by looking the plot.

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Answer 1

Image Analyst 2019-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/471358-how-to-find-which-are-the-nearest-points-to-the-line-segment#answer_382910

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Use pdist2() on the separate x and y coordinates of the two line vectors. (Note: Requires stats toolbox):

distances = pdist2([x1(:),y1(:)], [x2(:),y2(:)]);
minDistance = min(distances(:))
[rows, columns] = find(distances == minDistance);
fprintf('These points are closest (%f, %f) of curve 1 and (%f, %f) of line 2.\n',...
    x1(rows(1)), y1(rows(1)), x2(columns(1)), y2(columns(1)));