Automatic generation of hyperbolic drawings
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 653-663 |
Journal / Publication | Applied Mathematics and Computation |
Volume | 347 |
Online published | 30 Nov 2018 |
Publication status | Published - 15 Apr 2019 |
Link(s)
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 et al.
In: Applied Mathematics and Computation, Vol. 347, 15.04.2019, p. 653-663.
In: Applied Mathematics and Computation, Vol. 347, 15.04.2019, p. 653-663.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review