Wavelet decomposition/reconstruction of images via direct products

Norman C. Griswold; Somit Shah Mathur; Mark B. Yeary; Ronald G. Spencer

doi:10.1117/1.482726

1 January 2000 Wavelet decomposition/reconstruction of images via direct products

Norman C. Griswold, Somit Shah Mathur, Mark B. Yeary, Ronald G. Spencer

Journal of Electronic Imaging, Vol. 9, Issue 1, (January 2000). https://doi.org/10.1117/1.482726

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.

Citation Download Citation

Norman C. Griswold, Somit Shah Mathur, Mark B. Yeary, and Ronald G. Spencer "Wavelet decomposition/reconstruction of images via direct products," Journal of Electronic Imaging 9(1), (1 January 2000). https://doi.org/10.1117/1.482726

Published: 1 January 2000

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available