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.