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12 votes
2 answers
11k views

Covering a polygon with rectangles

I am trying to cover a simple concave polygon with a minimum rectangles. My rectangles can be any length, but they have maximum widths, and the polygon will never have an acute angle. I thought about ...
3 votes
1 answer
429 views

Finding a minimum covering of a polygon with interesting shapes

After reading many papers about problems of minimum polygon covering, I found out that there are four different types of units that are considered for covering polygons, in increasing order of ...
Erel Segal-Halevi's user avatar
2 votes
1 answer
192 views

On some optimal containers of a set of points on the 2D plane

Given a set of N points in general position on the plane, the problem is to give efficient algorithms to find the smallest semicircular region (semidisk) that contains the points the smallest ...
Nandakumar R's user avatar
  • 5,979
1 vote
1 answer
3k views

Covering an arbitrary polygon with minimum number of squares

I have a problem whereby, given an arbitrary polygon with any number of points, I need to cover the whole area by a number of fixed size squares. I can easily find a set of squares which covers the ...
Chris's user avatar
  • 51