Fractal image compression /
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Author / Creator: | Barnsley, M. F. (Michael Fielding), 1946- |
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Imprint: | Wellesley, Mass. : AK Peters, c1993. |
Description: | 244 p. : ill. ; 24 cm. |
Language: | English |
Subject: | Image processing -- Digital techniques -- Mathematics. Fractals Fractals. Image compression. Image processing -- Digital techniques -- Mathematics. |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1449180 |
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040 | |c DLC |d DLC |d ICU$dOrLoB | ||
050 | 0 | 0 | |a TA1632 |b .B353 1992 |
082 | |a 621.36/7 |2 20 | ||
100 | 1 | |a Barnsley, M. F. |q (Michael Fielding), |d 1946- |0 http://id.loc.gov/authorities/names/n85809884 |1 http://viaf.org/viaf/108173848 | |
245 | 1 | 0 | |a Fractal image compression / |c Michael F. Barnsley ; Lyman P. Hurd ; illustrations by Louisa F. Anson. |
260 | |a Wellesley, Mass. : |b AK Peters, |c c1993. | ||
300 | |a 244 p. : |b ill. ; |c 24 cm. | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
504 | |a Includes bibliographical references and index. | ||
505 | 2 | 0 | |g 1. |t Introduction -- |g 2. |t Formulation of Mathematical Models for Real World Images. |g 2.2. |t Description and Properties of Real World Images. |g 2.3. |t Mathematical Models for Real World Images. |g 2.4. |t Scanning and Digitizing. |g 2.5. |t Quantization, Scan Order, and Color -- |g 3. |t Mathematical Foundations for Fractal Image Compression I. |g 3.2. |t Spaces, Mappings, and Transformations. |g 3.3. |t Affine Transformations in R. |g 3.4. |t Construction of the Classical Cantor Set Using Two Affine Transformations on R. |g 3.5. |t Affine Transformations in the Euclidean Plane. |g 3.6. |t Affine Transformations in Three-Dimensional Real Space. |g 3.7. |t Norms on Linear Transformations on R[superscript 2]. |g 3.8. |t Topological Properties of Metric Spaces and Transformations. |g 3.9. |t Contraction Mapping Theorem - Key to Fractal Image Compression -- |g 4. |t Fractal Image Compression I: IFS Fractals. |g 4.2. |t Spaces of Images - the Hausdorff Space H. |g 4.3. |t Contraction Mappings on the Space H. |g 4.4. |t Iterated Function Systems. |g 4.5. |t Iterated Function Systems of Affine Transformations in R[superscript 2]. |g 4.6. |t The Photocopy Machine Algorithm for Computing the Attractor of an IFS. |g 4.7. |t C Source Code for Computing the Attractor of an IFS. |g 4.8. |t The Collage Theorem. |g 4.9. |t Fractal Image Compression Using IFS Fractals. |g 4.10. |t Measures and IFS's with Probabilities for Grayscale Images. |g 4.11. |t Grayscale Photocopy Algorithm. |g 4.12. |t Fractal Image Compression Using the Collage Theorem for Measures. |g 4.13. |t Dudbridge's Fractal Image Compression Method -- |g 5. |t Mathematical Foundations for Fractal Image Compression II. |g 5.2. |t Information Sources and Zero-Order Markov Sources. |g 5.3. |t Codes. |g 5.4. |t Kraft-McMillan Inequality. |g 5.5. |t C Source Code for Illustrating Kraft's Theorem. |g 5.6. |t Entropy. |g 5.7. |t Shannon-Fano Codes. |g 5.8. |t Extensions of Sources. |g 5.9. |t Higher-Order Markov Sources. |g 5.10. |t Huffman Codes for Compression. |g 5.11. |t C Source Code Illustration of a Huffman Code. |g 5.12. |t Addresses on Fractals. |g 5.13. |t Arithmetic Compression and IFS Fractals. |g 5.14. |t C Source Code Illustration for Arithmetic Encoding and Decoding -- |g 6. |t Fractal Image Compression II: The Fractal Transform. |g 6.2. |t General Description of Fractal Image Compression Methodology. |g 6.3. |t Local Iterated Function Systems. |g 6.4. |t The Collage Theorem for a Local IFS. |g 6.5. |t Calculation of Binary Attractors of Local IFS Using the Escape Time Algorithm. |g 6.6. |t The Black and White Fractal Transform. |g 6.7. |t The Grayscale Fractal Transform. |g 6.8. |t A Local IFS Associated with the Fractal Transform Operator. |g 6.9. |t Simple Examples of Grayscale Fractal Transforms. |g 6.10. |t C Source Code Implementation. |g 6.11. |t Illustrations of Fractal Transform Compression. |t A JPEG Image Compression -- |t A.2. Discrete Cosine Transform (DCT) -- |t A.3. Quantization -- |t A.4. Runlength Encoding -- |t A.5. Entropy Encoding -- |t A.6. Interchange Format -- |t A.7. C Source Code Illustrating JPEG Compression. |
650 | 0 | |a Image processing |x Digital techniques |x Mathematics. | |
650 | 0 | |a Fractals |0 http://id.loc.gov/authorities/subjects/sh85051147 | |
650 | 7 | |a Fractals. |2 fast |0 http://id.worldcat.org/fast/fst00933507 | |
650 | 7 | |a Image compression. |2 fast |0 http://id.worldcat.org/fast/fst00967485 | |
650 | 7 | |a Image processing |x Digital techniques |x Mathematics. |2 fast |0 http://id.worldcat.org/fast/fst00967516 | |
700 | 1 | 0 | |a Hurd, Lyman P. |0 http://id.loc.gov/authorities/names/nr88004417 |1 http://viaf.org/viaf/14851285 |
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928 | |t Library of Congress classification |a TA1632.B3530 1993 |l JCL |c JCL-Sci |i 2548444 | ||
927 | |t Library of Congress classification |a TA1632.B3530 1993 |l JCL |c JCL-Sci |e CRERAR |b 37355981 |i 2825627 |