Mathematics of Digital Images: Creation, Compression, Restoration, Recognition Book + PRICE WATCH * Amazon pricing is not included in price watch

Mathematics of Digital Images: Creation, Compression, Restoration, Recognition Book

This major revision of the author's successful book Mathematics of Computer Graphics still focuses on foundations and proofs, but now exhibits a shift away from Topology to Probability and Information Theory (with Shannon's source and channel encoding Theorems) which are used throughout. Three vital areas for the digital revolution are tackled, (compression, restoration and recognition) establishing not only what is true, but why, to facilitate education and research. This will remain a valuable book for computer scientists, engineers and applied mathematicians.Read More

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  • Product Description

    This is a major revision of the author's successful book Mathematics of Computer Graphics. It still focuses on foundations and proofs, but now exhibits a shift towards digital image compression, restoration, and recognition. Topology is replaced by Probability and Information Theory (with Shannon's source and channel encoding Theorems) which are used throughout. Several fractal methods are given in the service of Compression, along with linear transforms (hence FFT, DCT, JPEG, wavelets etc), recent neural methods, and the ubiquitous vector quantisation. Optimising for the Human Visual System is a subtheme. The superiority of Pyramid methods with respect to entropy is proved. Restoration offers convolution/deconvolution against noise and blurr. Recognition explores not only the Hough and Radon transforms, Statistical feature extraction, and Neural classification, but also Tomography, the recovery of 3-D images from 2-D data. It extends finally to multiple fractal dimensions in medical and other nature-related images.

  • 0521780292
  • 9780521780292
  • S. G. Hoggar
  • 14 September 2006
  • Cambridge University Press
  • Hardcover (Book)
  • 854
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