This book is concerned with the theory and application of fractal geometry in digital imaging. It is divided into four parts: Part 1 deals with the general theory of fractal geometry and focuses attention on the theory of random scaling fractals.
Part II covers a fundamental inverse problem, that of using fractals to segment images.
Part III looks at the design of algorithms that can be used to create or synthesize images - painting with fractals.
Part IV considers the inverse of the processes discussed in part III and introduces the reader to the role that fractal geometry plays in image compression.
Throughout the book, a series of new approaches to defining fractals are illustrated, such as the analysis of the fractal power spectrum and the use of fractional differentials. Several new algorithms and applications are also discussed and applied to real life images.
Fractal Geometry in Digital Imaging will appeal to postgraduates, researchers and practitioners in image processing, mathematics and computing, information technology and engineering. It provides an Internet address where readers can find data which complements the published material and will help keep them up-to-date with developments in this field.
