Fractals in Multimedia - The IMA Volumes in Mathematics and its Applications Softcover reprint of the original 1st ed. 2002 edition

Marc Notes: Conference proceedings.; Originally published: 2002.; Includes bibliographical references.; 8; This volume describes the status of fractal imaging research and looks to future directions. It should be useful to researchers in the areas of fractal image compression, analysis, and synthesis, iterated function systems, and fractals in education. Description for Sales People: This volume describes the status of fractal imaging research and looks to future directions. It will be useful to researchers in the areas of fractal image compression, analysis, and synthesis, iterated function systems, and fractals in education. In particular it includes a vision for the future of these areas. Table of Contents: Introduction to IMA fractal proceedings * Uniqueness of invariant measures for place-dependent random iterations of functions * Iterated function systems for lossless data compression * From fractal image compression to fractal-based methods in mathematics * Fractal image compression with fast local search * Wavelets are piecewise fractal interpolation functions * Self-affine vector measures and vector calculus on fractals * Using the Picard contraction mapping to solve inverse problems in ordinary differential equations * Fractal modulation and other applications from a theory of the statistics of dimension * Signal enhancement based on Hoelder regularity analysis * Iterated data mining techniques on embedded vector modeling * A web-based fractal geometry course for non-science studentsPublisher Marketing: This volume describes the status of fractal imaging research and looks to future directions. It should be useful to researchers in the areas of fractal image compression, analysis, and synthesis, iterated function systems, and fractals in education.

Contributor Bio:  Barnsley, Michael F Barnsley-Master and pioneer of the fundamental science of Fractal Geometry and the real-world application of Fractal GeometryContributor Bio:  Saupe, Dietmar Saupe-University of Freiburg, Germany