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minimum distance between the edges of two closed shapes

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I am wondering if anyone has any idea how I can approach finding the minimum distance between two fairly random shapes' edges that one encircles the other. I can separate the shapes' images out from one another into the same size image for comparison, but I can't get a good distance function since one encloses the other and by no means are these shapes regular enough to just compare the center points. If anyone can give me ideas, I would really appreciate it.

Answers (1)

Sean de Wolski
Sean de Wolski on 8 Jul 2011
The distance transform and some indexing will do that for you pretty easily.
doc bwdist
Post the image for more specific guidance.
  1 Comment
Image Analyst
Image Analyst on 9 Jul 2011
Sean's answer is what I suggest also. By the way, you may want to learn about alternative ways of measuring distance between polygons. Go to this URL
http://cgm.cs.mcgill.ca/~godfried/teaching/cg-projects/98/normand/main.html
to learn about the Hausdorf distance and several useful ways that it can be used.

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