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## Minimum distance between two polygons

version 1.2 (9.73 KB) by

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

Updated

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.

Solomon

### Solomon (view profile)

This can be done in o(logm + logN) time, yours is done in n*m, the slowest possible calculation

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

Moshe Lindner

great function!

sjye

Diego Barragán

### Diego Barragán (view profile)

 16 Dec 2008 1.2 Some boundary cases have been taken into account. 15 Dec 2008 1.1 Some boundary cases have been taken into account.
MATLAB 7 (R14)