- Euclidean Spaces, Metric Spaces and its Properties, Space of Fractals, Contraction Mappings, Affine and Mobius Transformations, Iterated Function System, Attractors, Random Iteration Algorithm, Collage Theorem.
- Address of points on Fractals, Dynamical Systems, Simulation of 2‐D and 3‐D Fractal objects, Fractal and Hausdroff Dimension, Fractal Interpolation Function (FIF): Construction and Properties, Hidden Variable FIF, Coalescence FIF, Interpolation Error Bounds.
- Fractal Dimension of FIF, Classification of Periodic Points, Kinds of Bifurcation, Chaotic Sets, Julia Sets, Fatou Sets, Mandelbrot Sets, Simulation and Interpolation, Application of Fractal Interpolation in Image Compression and in Simulation of Highly Irregular Objects in Nature.
You can download the syllabus and more information about the course below in .pdf format:
Syllabus