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Journal of Electronic Imaging

Wavelet decomposition/reconstruction of images via direct products
Author(s): Norman C. Griswold; Somit Shah Mathur; Mark B. Yeary; Ronald G. Spencer
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Paper Abstract

The two major aspects of image data compression utilizing wavelet analysis and synthesis are the decomposition of an image and the reconstruction of this image. It has been noticed in this investigation that the pyramid structure of convolution and the down sampling or the up sampling (adding zeros) and convolution have equivalent operations in vector space analysis. That is, the decomposition is equivalent to an outer product expansion. Therefore, tensor products can easily accomplish the synthesis or reconstruction. This is sometimes called the direct product. It is suggested that this method of implementation saves operations and opens the way to utilization of uniform filter banks.

Paper Details

Date Published: 1 January 2000
PDF: 11 pages
J. Electron. Imag. 9(1) doi: 10.1117/1.482726
Published in: Journal of Electronic Imaging Volume 9, Issue 1
Show Author Affiliations
Norman C. Griswold, Texas A&M Univ. (United States)
Somit Shah Mathur, Texas A&M Univ. (United States)
Mark B. Yeary, Texas A&M Univ. (United States)
Ronald G. Spencer, Texas A&M Univ. (United States)

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