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.
Chapter 2. Image sampling and fractal representation (Henri Maître).
Chapter 3. Discrete representations (Isabelle Bloch).
Chapter 4. Restoration of images (Henri Maître).
Chapter 5. Mathematical morphology (Isabelle Bloch).
Chapter 6. Markov fields (Florence Tupin and Marc Sigelle).
Chapter 7. Wavelets and image processing (Béatrice Pesquet–Popescu and Jean–Christophe Pesquet).
Chapter 8. Partial differential equations (Yann Gousseau).
Chapter 9. Preprocessing (Henri Maître).
Chapter 10. Detection of contours in images (Henri Maître).
Chapter 11. Segmentation by regions (Henri Maître).
Chapter 12. Textures (Henri Maître).
Chapter 13. Description of contours and shapes (Henri Maître).
List of Authors.