The USC Andrew and Erna Viterbi School of Engineering USC Signal and Image Processing Institute USC Ming Hsieh Department of Electrical and Computer Engineering University of Southern California

Technical Report USC-EE-387

“TRANSFORM IMAGE CODING”

by William K. Pratt and Harry C. Andrews

March 1970

The basic goal of digital image coding is the development of a coding technique that permits the representation, and subsequent recovery, of an image by a minimal number of code bits [1-3]. In some applications virtually no image distortion is permitted in the coding process, while in other applications a controlled amount of distortion is allowable in the achievement of a substantial bit reduction. In general, when redundancy is removed from a data source, the compressed data is more sensitive to the effect of channel errors. One of the restrictions in selecting a coding method, therefore, is that the compressed data must not be overly sensitive to channel errors.

In 1967 a new technique of image coding, called Fourier transform coding, was developed at the University of Southern California [4-6]. Another related method, called Hadamard transform coding, was discovered at USC in 1968 [7-8]. Since then investigations have been made into the applications of other mathematical transforms for image coding. Out of these studies has emerged the generalized technique of transform image coding [9-11].

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