Elliptification of Rectangular Imagery
This addresses a niche problem in image processing for specialized applications, but it is incremental as it builds on existing square-to-disc mapping techniques.
The paper tackles the problem of converting rectangular images into elliptical regions by developing algorithms based on invertible mathematical mappings, extending square-to-disc mappings to handle rectangles and ellipses through eccentricity adjustments.
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.