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Proceedings Paper

A Critical Comparison Of Fast Transforms For Image Data Compression
Author(s): Norman C. Griswold; Robert M. Haralick
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Paper Abstract

There have been many investigations to determine achievable compression ratios for various transform encoding schemes. Often, results are not comparable because they are done with different images digitized to a different number of bits and sampled at different rates. In this paper a typical image for a remotely piloted vehicle application was selected and compared utilizing most of the popular transform methods. The comparison was made at average bit allocations of: 1 bit/pel, .75 bit/pel, and .5 bit/pel. The error criteria was a combination of visual, RMS, and RMS correlated error. The results indicated that the best performance was by the Fast Karhunen Loeve followed closely by the Discrete Cosine and Discrete Linear Basis. Those transforms classed as, "good performers", achieved a compression ratio of 12:1 or 1/2 bit per pixel. The auto correlation of the error images was computed and a characteristic decrease in correlation for lag 1 followed by an increase in correlation for lag 2 and lag 3 was observed. The Discrete Cosine Basis set was also compared with the eigenvectors of a first order Markov correlation matrix of dimension 16 and verified Ahmed's suggestion that the fit is good for even small dimensions.

Paper Details

Date Published: 13 December 1976
PDF: 9 pages
Proc. SPIE 0087, Advances in Image Transmission Techniques, (13 December 1976); doi: 10.1117/12.954994
Show Author Affiliations
Norman C. Griswold, Wright-Patterson AFB (United States)
Robert M. Haralick, University of Kansas (United States)

Published in SPIE Proceedings Vol. 0087:
Advances in Image Transmission Techniques
Andrew G. Tescher, Editor(s)

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