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CLC number: TP391

On-line Access: 2012-08-02

Received: 2012-01-13

Revision Accepted: 2012-06-21

Crosschecked: 2012-07-06

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Journal of Zhejiang University SCIENCE C 2012 Vol.13 No.8 P.559-564


A note on circle packing

Author(s):  Young Joon Ahn, Christoph M. Hoffmann, Paul Rosen

Affiliation(s):  Department of Mathematics Education, Chosun University, Gwangju 501-759, Korea; more

Corresponding email(s):   ahn@chosun.ac.kr, cmh@cs.purdue.edu, prosen@sci.utah.edu

Key Words:  Circle packing, Algorithm performance, Parallel computation, Graphics processing unit (GPU)

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Young Joon Ahn, Christoph M. Hoffmann, Paul Rosen. A note on circle packing[J]. Journal of Zhejiang University Science C, 2012, 13(8): 559-564.

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The problem of packing circles into a domain of prescribed topology is considered. The circles need not have equal radii. The Collins-Stephenson algorithm computes such a circle packing. This algorithm is parallelized in two different ways and its performance is reported for a triangular, planar domain test case. The implementation uses the highly parallel graphics processing unit (GPU) on commodity hardware. The speedups so achieved are discussed based on a number of experiments.

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