CONFERENCE PROCEEDINGS
Advanced Search >
Home > Journals > Journal of Electronic Imaging > Volume 9 > Issue 1 > Article
1 January 2000 Wavelet decomposition/reconstruction of images via direct products
Norman C. Griswold; Somit Shah Mathur; Mark B. Yeary; Ronald G. Spencer
Author Affiliations +
J. of Electronic Imaging, 9(1), (2000). https://doi.org/10.1117/1.482726
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.
Citation Download Citation
Norman C. Griswold, Norman C. Griswold, Somit Shah Mathur, Somit Shah Mathur, Mark B. Yeary, Mark B. Yeary, Ronald G. Spencer, 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 . Submission:
ACCESS THE FULL ARTICLE
PERSONAL SIGN IN
Full access may be available with your subscription
 
Forgot your username?
Forgot your password?
No SPIE account? Create an account
or Institutional Sign In via Shibboleth
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
Members: $20.00
Non-members: $25.00 ADD TO CART
JOURNAL ARTICLE
 11 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
SHARE
GET CITATION
KEYWORDS
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top