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Cutting a cornered convex polygon out of a circle

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3 Author(s)
Ahmed, S.I. ; Dept. of Comput. Sci. & Eng., Bangladesh Univ. of Eng. & Technol., Dhaka ; Islam, M.A. ; Hasan, M.

The problem of cutting a convex polygon P out of a piece of paper Q with minimum total cutting length is a well studied problem in computational geometry. Researchers studied several variations of the problem, such as P and Q are convex or non-convex polygons and the cuts are line cuts or rays cuts. In this paper we consider yet another variation of the problem where Q is a circle and P is convex polygon such that P is bounded by a half circle of Q and all the cuts are line cuts. We give a simple linear time O(log n)-approximation algorithm for this problem where n is the number of vertices of P.

Published in:

Computer and Information Technology, 2008. ICCIT 2008. 11th International Conference on

Date of Conference:

24-27 Dec. 2008

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