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# Minimum distance between two polygons

### Guillaume JACQUENOT (view profile)

15 Dec 2008 (Updated )

This function computes the minimum euclidean distance between two polygons P1 & P2.

File Information
Description

This function computes the minimum euclidean distance between two
polygons P1 & P2.

min_d = min_dist_between_two_polygons(P1,P2,Display_solution);

This function takes two arguments, a third one is optional.
P1 & P2 contain the geometry of polygons.
P1 & P2 are structures containing two fields: x & y
For example:
P1.x = rand(1,5)+2;
P1.y = rand(1,5);
P2.x = rand(1,3);
P2.y = rand(1,3);
Display_solution is a binary variable that enables or not the
plot of the solution.

The function starts by checking if polygons are intersecting.
In this case, the minimum distance is 0.
Otherwise, distances between all vertices and edges of the two
polygons are computed. The function returns the minimum distance found.
Further details of the implementation can be found in the code.

Acknowledgements

Curve Intersect 2 inspired this file.

This file inspired Minimum Distance Between Two Polygons.

MATLAB release MATLAB 7 (R14)
16 Jan 2013 Sarhat

### Sarhat (view profile)

hello

I found your function great, especially for object analysis in binary images. Can I as you only about how to extract the points(x,y) belong to both polygons that make the min distance

Regards

Comment only
20 Jan 2011 Moshe Lindner

great function!

15 Dec 2010 sjye

### sjye (view profile)

16 Dec 2008 Diego Barragán