Fractal IFS (Iterated Function System) Implementation in MATLAB

I have developed a fractal IFS (Iterated Function System) implementation using MATLAB. This system incorporates several standard IFS codes that generate self-similar patterns through iterative transformations. IFS systems operate by decomposing a geometric shape into multiple components and recursively combining these parts according to specific mathematical rules to create increasingly complex fractal structures, widely applied in computer graphics and digital image processing. The MATLAB implementation utilizes affine transformation matrices and probability distributions to control the iterative process. Key algorithms include: 1. Inverse Sierpinski Triangle: Implemented using three contraction mappings with equal probability weights 2. Barnsley Fern: Features four affine transformations with carefully calibrated probability distributions to create realistic fern patterns 3. Modified Barnsley Fern Variations: Custom parameter adjustments to generate diverse botanical structures The code architecture employs matrix operations for efficient transformation calculations and uses MATLAB's plotting capabilities for visualization. Each IFS iteration applies randomly selected transformations from a predefined set, with the probability weights determining the frequency of each transformation's application. These implementations can generate various fractal patterns including tree structures, floral patterns, cloud formations, and mountain landscapes. The program provides an accessible framework for exploring and creating diverse fractal graphics through parameter modification and algorithm customization.