Mathematics of Digital Images - Creation, Compression, Restoration, Recognition; S. G. Hoggar (Cambridge, 2006).pdf - Computer Vision & Graphics & Image Processing - Yohoho25

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MATHEMATICS OF DIGITAL IMAGES

Creation, Compression, Restoration, Recognition

Compression, restoration and recognition are three of the key components of digital

imaging. The mathematics needed to understand and carry out all these components is

here explained in a textbook that is at once rigorous and practical with many worked

examples, exercises with solutions, pseudocode, and sample calculations on images. The

introduction lists fast tracks to special topics such as Principal Component Analysis,

and ways into and through the book, which abounds with illustrations. The ﬁrst part

describes plane geometry and pattern-generating symmetries, along with some text on

3D rotation and reﬂection matrices. Subsequent chapters cover vectors, matrices and

probability. These are applied to simulation, Bayesian methods, Shannon’s Information

Theory, compression, ﬁltering and tomography. The book will be suited for course use

or for self-study. It will appeal to all those working in biomedical imaging and diagnosis,

computer graphics, machine vision, remote sensing, image processing, and information

theory and its applications.

DR S. G. HOGGAR is a research fellow and formerly a senior lecturer in mathematics

at the University of Glasgow.

MATHEMATICS OF DIGITAL IMAGES

Creation, Compression, Restoration, Recognition

S. G. HOGGAR

University of Glasgow

Mathematics of Digital Images - Creation, Compression, Restoration, Recognition; S. G. Hoggar (Cambridge, 2006).pdf