Interest in image compression for Internet and other multimedia applications has spurred research into compression techniques that will increase storage capabilities and transmission speed. This tutorial provides a practical guide to fractal and wavelet approaches--two techniques with exciting potential. It is intended for scientists, engineers, researchers, and students. It provides both introductory information and implementation details. Three Windows-compatible software systems are included so that readers can explore the new technologies in depth. Complete C/C++ source code is provided, enabling readers to go beyond the accompanying software. The mathematical presentation is accessible to advanced undergraduate or beginning graduate students in technical fields. Contents - Preface - Introduction - Iterated Function Systems - Fractal Encoding of Grayscale Images - Speeding Up Fractal Encoding - Simple Wavelets - Daubechies Wavelets - Wavelet Image Compression Techniques - Comparison of Fractal and Wavelet Image Compression - References - Appendix A: Using the Accompanying Software - Appendix B: Utility Windows Library (UWL) - Appendix C: Organization of the Accompanying Software Source Code.