Elliptification of Rectangular Imagery

Most of the world’s photographs are rectangular in nature. However, for artistic reasons, one might want to convert them into circular or elliptical images. In this paper, we will follow-up on mathematical work previously done on disc-to-square mappings and extend it to handle ellipses and rectangles. We will not alter the eccentricity of the shapes during the mapping. This means that the aspect ratio of the rectangle’s length and width will be the same as the aspect ratio of the ellipse’s major and minor axis length.