Research

• Previous Work/Experiences:

•  Formulating an iterated function system (IFS) on the sphere (Euclidean space) consists of

 transformations constructed using the Stereographic projection map and its inverse map.

•  Providing detailed constructions of an affine fractal interpolation function (FIF) on the real projective

 plane (non-Euclidean space).

•  Estimating the fractal dimension of the graph associated with a FIF on the real projective plane.

• Providing constructions of a non-affine FIF on the real projective plane and also developing the idea of

constructions of non-affine FIF on the dual of the real projective plane.

• Initiating the quantization theory for Cantor-like set on the real projective line.