Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools-including analysis, topology, algebra, and probability theory-to introduce readers to this exciting subject.
Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content.
- ISBN13 9780128044087
- Publish Date 9 August 2016 (first published 18 January 1995)
- Publish Status Active
- Publish Country US
- Publisher Elsevier Science Publishing Co Inc
- Imprint Academic Press Inc
- Edition 2nd edition
- Format Hardcover
- Pages 426
- Language English