Fractal Algorithms and Programming: Java Implementation

Author: Sun Botong
Publisher:
Publish Date: 2004-11-01
Features: Fractal geometry is known as the geometry of nature. Its objects of study are broken, rough, and irregular geometric shapes, but when viewed at different scales, they exhibit the same or similar structures. This book constructs various algorithms for generating fractal images and implements them using computer programming languages. The generated fractal images are either intricate, mysterious, or lifelike, offering a fresh experience from both aesthetic and scientific perspectives. From a practical standpoint, this book discusses the generation algorithms and programming design of fractal graphics. The main content includes recursive algorithms for fractal images, grammar-based construction algorithms, iterative function system algorithms, escape-time algorithms, fractal evolution algorithms, as well as topics such as fractal image magnification, fractal image animation, 3D fractal graphics, and the simulation of natural landscapes using fractal algorithms. The book is divided into 10 chapters, focusing on the recent research achievements in fractal graphics, providing corresponding algorithms and Java programming source code to make it easy to learn, master, and apply. With high school-level mathematics knowledge and Java programming skills, readers can easily understand this book. It is suitable for undergraduate and graduate students in mathematics, physics, computer science, art and design, industrial design, and film and animation production. It can also serve as a reference for researchers and engineers working in computer graphics and digital image processing, as well as for enthusiasts of fractal geometry.