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Distance from points to an ellipse

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Distance from points to an ellipse

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04 Jan 2010 (Updated )

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

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Description

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

Acknowledgements

Distance Between Points And Ellipse inspired this file.

MATLAB release MATLAB 7.7 (R2008b)
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Comments and Ratings (3)
18 Mar 2010 Matthew Arthington

It finds the distance from points to an ellipse contour.

17 Mar 2010 niki n

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

08 Jan 2010 Rody Oldenhuis

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.

Updates
08 Jan 2010

Fixed a bug in original file.

11 Jan 2010

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.

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