CirclePack

CirclePack is software for creation, manipulation, analysis, and display of circle packings; it handles circle packings having from 4 to (current record) 5,000,000 circles. For more about this topic see ”Introduction to Circle Packing: the Theory of Discrete Analytic functions” by Ken Stephenson, Cambridge University Press, 2005 (ISBN 0521823560) and papers on my web page http://www.math.utk.edu/ kens/


References in zbMATH (referenced in 76 articles , 1 standard article )

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  1. Akopyan, Arseniy V.; Bobenko, Alexander I.: Incircular nets and confocal conics (2018)
  2. Ge, Huabin: Combinatorial Calabi flows on surfaces (2018)
  3. Bobenko, Alexander I.; Dimitrov, Nikolay; Sechelmann, Stefan: Discrete uniformization of polyhedral surfaces with non-positive curvature and branched covers over the sphere via hyper-ideal circle patterns (2017)
  4. Bobenko, Alexander I.; Günther, Felix: Discrete Riemann surfaces based on quadrilateral cellular decompositions (2017)
  5. Born, Stefan; Bücking, Ulrike; Springborn, Boris: Quasiconformal dilatation of projective transformations and discrete conformal maps (2017)
  6. Bowers, Philip L.; Stephenson, Kenneth: Conformal tilings. I: Foundations, theory, and practice (2017)
  7. Chow, Bennett; Glickenstein, David; Luo, Feng: Book review of: W. Zeng and X. D. Gu, Ricci flow for shape analysis and surface registration. Theories, algorithms and applications (2017)
  8. Glickenstein, David; Thomas, Joseph: Duality structures and discrete conformal variations of piecewise constant curvature surfaces (2017)
  9. Hubard, Alfredo; Kaluža, Vojtěch; de Mesmay, Arnaud; Tancer, Martin: Shortest path embeddings of graphs on surfaces (2017)
  10. Krieg, David; Wegert, Elias: Incompressibility of domain-filling circle packings (2017)
  11. Lan, Shi-Yi; Dai, Dao-Qing: Approximation of conformal welding for finitely connected regions (2017)
  12. Luo, Feng: The Riemann mapping theorem and its discrete counterparts (2017)
  13. Machchhar, Jinesh; Elber, Gershon: Dense packing of congruent circles in free-form non-convex containers (2017)
  14. Orick, Gerald L.; Stephenson, Kenneth; Collins, Charles: A linearized circle packing algorithm (2017)
  15. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  16. Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf: Boundaries of planar graphs, via circle packings (2016)
  17. Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab: Unimodular hyperbolic triangulations: circle packing and random walk (2016)
  18. Ashe, James; Crane, Edward; Stephenson, Kenneth: Circle packing with generalized branching (2016)
  19. Bazhanov, Vladimir V.; Kels, Andrew P.; Sergeev, Sergey M.: Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs (2016)
  20. Bobenko, Alexander I.; Sechelmann, Stefan; Springborn, Boris: Discrete conformal maps: boundary value problems, circle domains, Fuchsian and Schottky uniformization (2016)

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