A Poor Man’s Hyperbolic Square Mapping

Year: 2018 Authors: Chamberlain Fong; Douglas Dunham

Core claim

A computationally inexpensive explicit disc-to-square mapping can replace conformal methods for hyperbolic visualization and also support elliptification of rectangular imagery.

Topics

Poincaré disk mapping, hyperbolic visualization, interactive art, elliptification

Domains

hyperbolic geometry, complex analysis, Schwarz-Christoffel transformations, inverse mappings, mathematical art, vector art, image remapping, M.C. Escher

Methods

explicit rational mapping, forward and inverse equations, point-based mapping, pixel-based mapping

Media

Poincaré disk patterns, bitmapped images, rectangular paintings, M.C. Escher lithographs

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.