Elliptification of Rectangular Imagery

Abstract

We present and discuss different algorithms for converting rectangular imagery into elliptical regions. We mainly focus on methods that use mathematical mappings with explicit and invertible equations. The key idea is to start with invertible mappings between the square and the circular disc then extend it to handle rectangles and ellipses. This extension can be done by simply removing the eccentricity and reintroducing it back after using a chosen square-to-disc mapping.

JMM2019 SIGMAA-ARTS; corrected typo on detJ surfaces; added description on bijective spherize filter