• RecordNumber
    3505
  • Author

    Kopczynski, Eryk

  • Crop_Body
    Eryk Kopczynski and Dorota Celinska-Kopczynska
  • Title of Article

    Conformal Mappings of the Hyperbolic Plane to Arbitrary Shapes

  • Title Of Journal
    Bridges
  • Publication Year
    2019
  • Abstract
    Hyperbolic tessellations have been typically projected into discs or other simple shapes. In this paper, we study the problem of projecting hyperbolic tessellations to arbitrary shapes, given by a source bitmap image. We present an algorithm for finding such conformal mappings and provide discussion of the exemplar results. The previous approaches are vulnerable to numerical precision issues or computationally expensive; our proposition deals with long and narrow shapes efficiently.