Conformal Mappings of the Hyperbolic Plane to Arbitrary Shapes

Year: 2019 Authors: Eryk Kopczyński; Dorota Celińska-Kopczyńska

Core claim

A band-model-based algorithm can efficiently conformally map the hyperbolic plane to arbitrary simply connected shapes without the precision issues of prior methods.

Topics

conformal mapping, hyperbolic tessellations, Riemann mapping, bitmap shapes

Domains

hyperbolic geometry, complex analysis, Riemann mapping theorem, biholomorphic functions, mathematical visualization, generative art, image-based design, artistic projections

Methods

numerical conformal mapping, band model, pixel-based boundary tracing, tessellation remapping

Media

bitmap image, hyperbolic tessellation, Elegant Cat Silhouette, PNG output

Source status

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