Representing Epicycloids of An Irregular Shape

Abstract

Begun in 1898, the Ptolemaic systems appeared and discovered the science of Epicycles in Ptolemaic astronomy and how multiple regular shapes like circles can provide representations of irregular shapes. The scientific goals highlight the benefits of the Epicycloid project, including that an image, object, person or animal can be represented using this science and have their extracted mathematical features as a descriptor for them. To generate descriptors at a better accuracy and optimization, this science needs to be further developed and generate a clear set of principles for approaching the extraction of these descriptor in terms of Epicycles