Automatic generation of hyperbolic drawings

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

4 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)653-663
Journal / PublicationApplied Mathematics and Computation
Volume347
Online published30 Nov 2018
Publication statusPublished - 15 Apr 2019

Abstract

So far the amount of artistically interesting drawings similar to Circle Limit I-IV is very limit. Still a few examples created by M.C. Escher are the outstanding hyperbolic arts. Based on hyperbolic geometry and computer graphics techniques, this article presents an easily-reproducible approach to generate drawings similar to Circle Limit I-IV. To create more kinds of elegant hyperbolic drawings, several conformal mappings are proposed to transform disc drawings into some special domains. The method can be used to create a great variety of hyperbolic drawings.

Research Area(s)

  • Circle Limit I-IV, Conformal mapping, Hyperbolic geometry, Symmetry group

Citation Format(s)

Automatic generation of hyperbolic drawings. / Ouyang, Peichang; Fathauer, Robert W.; Chung, Kwok-wai; Wang, Xinchang.

In: Applied Mathematics and Computation, Vol. 347, 15.04.2019, p. 653-663.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review