Fractal Dimension of Fractal Functions on the Real Projective Plane

Abstract

In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the Euclidean space. At the end, we initiate a dual real projective iterated function system and pose an open problem.

Keywords

• fractal interpolation function
• real projective fractal interpolation function
• fractal dimensions
• duality