Title: Fractal image compression /
Authors: Barnsley, M. F. 1946-; Hurd, Lyman P.
Publisher: AK Peters,
Year: 1993
Subjects: Image processing Digital techniques Mathematics.; Fractals.; Image compression.; Fractals.; Traitement d'images Électronique numérique.; Fractales; Données Compression (informatique); Bildverarbeitung.; Datenkompression.; Fraktal.; IFS.; compression image.; fractale.; Fractals; Image compression; Image processing Digital techniques Mathematics
Contents: 1. Introduction -- 2. Formulation of Mathematical Models for Real World Images. 2.2. Description and Properties of Real World Images. 2.3. Mathematical Models for Real World Images. 2.4. Scanning and Digitizing. 2.5. Quantization, Scan Order, and Color -- 3. Mathematical Foundations for Fractal Image Compression I. 3.2. Spaces, Mappings, and Transformations. 3.3. Affine Transformations in R. 3.4. Construction of the Classical Cantor Set Using Two Affine Transformations on R. 3.5. Affine Transformations in the Euclidean Plane. 3.6. Affine Transformations in Three-Dimensional Real Space. 3.7. Norms on Linear Transformations on R[superscript 2]. 3.8. Topological Properties of Metric Spaces and Transformations. 3.9. Contraction Mapping Theorem -- Key to Fractal Image Compression -- 4. Fractal Image Compression I: IFS Fractals. 4.2. Spaces of Images -- the Hausdorff Space H. 4.3. Contraction Mappings on the Space H. 4.4. Iterated Function Systems. 4.5. Iterated Function Systems of Affine Transformations in R[superscript 2]. 4.6. The Photocopy Machine Algorithm for Computing the Attractor of an IFS. 4.7. C Source Code for Computing the Attractor of an IFS. 4.8. The Collage Theorem.