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Automatic generation of hyperbolic drawings

Author

Listed:
  • Ouyang, Peichang
  • Fathauer, Robert W.
  • Chung, Kwok-wai
  • Wang, Xinchang

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.

Suggested Citation

  • Ouyang, Peichang & Fathauer, Robert W. & Chung, Kwok-wai & Wang, Xinchang, 2019. "Automatic generation of hyperbolic drawings," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 653-663.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:653-663
    DOI: 10.1016/j.amc.2018.09.052
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    Cited by:

    1. Hoxtell, Annette, 2020. "Automatisierung qualitativer Marktforschung mit Künstlicher Intelligenz," PraxisWISSEN Marketing: German Journal of Marketing, AfM – Arbeitsgemeinschaft für Marketing, vol. 5(01/2020), pages 111-123.

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