Computer-aided automatic processing of images requires the control of a series of operations, which this book analyzes. Knowing the statistical properties of images, sampling them to reduce the observable world to a series of discrete values, restoring images in order to correct degradations - all these operations are explained here, together with the mathematical tools they require. Topics covered include fractal representation, mathematical morphology, wavelet representations and the detection and description of contours and shapes.
Henri Maitre is a Professor at the Ecole Nationale Superieure des Telecommunications in Paris, France where he was Head of the Signal and Image Department from 1999 to 2004. His research includes work on image analysis, image understanding and computer vision, and applications in the domain of satellite and aerial image processing. Henri Maitre received the engineering degree from the Ecole Centrale de Lyon, France (71), and the Docteur es Sciences degree in Physics from the University of Paris VI (82).
Chapter 1. Statistical properties of images (Henri Maitre). Chapter 2. Image sampling and fractal representation (Henri Maitre). Chapter 3. Discrete representations (Isabelle Bloch). Chapter 4. Restoration of images (Henri Maitre). Chapter 5. Mathematical morphology (Isabelle Bloch). Chapter 6. Markov fields (Florence Tupin and Marc Sigelle). Chapter 7. Wavelets and image processing (Beatrice Pesquet-Popescu and Jean-Christophe Pesquet). Chapter 8. Partial differential equations (Yann Gousseau). Chapter 9. Preprocessing (Henri Maitre). Chapter 10. Detection of contours in images (Henri Maitre). Chapter 11. Segmentation by regions (Henri Maitre). Chapter 12. Textures (Henri Maitre). Chapter 13. Description of contours and shapes (Henri Maitre). List of Authors. Index.