Orthogonal approximation order preserving prefilters for multiwavelets

David W. Roach

doi:10.1117/12.449710

5 December 2001 Orthogonal approximation order preserving prefilters for multiwavelets

David W. Roach

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449710
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

In this paper, we show the existence of third-order approximation order preserving prefilters for multiwavelets. We develop the necessary conditions needed to satisfy the approximation criteria and give a constructive proof of their existence. Additionally, we give an example prefilter for the Chui-Lian multiwavlet and implement the prefilter/multiwavelet in an image compression scheme. The compression results are then compared against the standard wavelets of Haar, D4, and D6.

Citation Download Citation

David W. Roach "Orthogonal approximation order preserving prefilters for multiwavelets", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449710

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