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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 ...
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 ...
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 ...
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 ...