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Distance from points to an ellipse

version 1.3 (2.16 KB) by

This function can calculate the geometric distance from one or more points to an ellipse in 2D.



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This function uses a dumb search to find the minimum distance between a point (or many points) and an ellipse. It has controllable accuracy which may be reduced for faster computation.

*Update 12 Jan 2010: Rody Oldenhuis has submitted a version of this file (possibly only for versions >=Matlab 2009a) that works for general 3D ellipses and should be more efficient than this one. Please see acknowledgements below.

*Update 08 Jan 2010: fixed a bug in original file

Comments and Ratings (3)

It finds the distance from points to an ellipse contour.

niki n

niki n (view profile)

hi does this code find the min dis from point to the ellipse center or contour ?Any help will be greatly appreciated.thanks

Rody Oldenhuis

Rody Oldenhuis (view profile)

While reading your post I was reminded of a long and tedious hunt I recently did for an efficient algorithm to find the distance between two confocal ellipses. One of the things I came across was exactly this problem (point - ellipse), and I remembered I still had the code for it somewhere.

So, I brushed it a bit, and I've just posted it (I made an acknowledgement to you as well). I hope my code can help you out.



Added a link to point to a file that has been uploaded in response to my original description, which said that there exists a more efficient method than this, but it has not been implemented yet.


Fixed a bug in original file.

MATLAB Release
MATLAB 7.7 (R2008b)

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