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Exploring Circle Packing Algorithms

Authors Kevin Pratt, Connor Riley, Donald Sheehy



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LIPIcs.SoCG.2016.69.pdf
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Kevin Pratt
Connor Riley
Donald Sheehy

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Kevin Pratt, Connor Riley, and Donald Sheehy. Exploring Circle Packing Algorithms. In 32nd International Symposium on Computational Geometry (SoCG 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 51, pp. 69:1-69:4, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/LIPIcs.SoCG.2016.69

Abstract

We present an interactive tool for visualizing and experimenting with different circle packing algorithms.
Keywords
  • Computational Geometry
  • Processing
  • Javascript
  • Visualization
  • Incremental Algorithms

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References

  1. Alexander I. Bobenko and Boris A. Springborn. Variational principles for circle patterns and koebe’s theorem. Transactions of the American Mathematical Society, 356(2):659-689, 2003. Google Scholar
  2. Yves Colin de Verdière. Un principe variationnel pour les empilements de cercles. Inventiones mathematicae, 104(1):655-669, 1991. Google Scholar
  3. Jonathan A. Kelner. Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus. SIAM J. Comput., 35(4):882-902, 2006. Google Scholar
  4. Gary L. Miller, Shang-Hua Teng, William Thurston, and Stephen A. Vavasis. Separators for sphere-packings and nearest neighbor graphs. J. ACM, 44(1):1-29, 1997. Google Scholar
  5. Bojan Mohar. A polynomial time circle packing algorithm. Discrete Mathematics, 117(1-3):257-263, 1993. Google Scholar
  6. Kenneth Stephenson. Introduction to Circle Packing. Cambridge University Press, New York, New York, 2005. Google Scholar
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