Optimal nonlinear extension of linear filters based on distributed arithmetic

David Akopian; Jaakko T. Astola

doi:10.1117/12.290273

14 October 1997 Optimal nonlinear extension of linear filters based on distributed arithmetic

David Akopian, Jaakko T. Astola

Proceedings Volume 3167, Statistical and Stochastic Methods in Image Processing II; (1997) https://doi.org/10.1117/12.290273
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

Distributed arithmetic (DA) based implementation of linear filters relies on the linear nature of this operation and has been suggested as a multiplication free solution. In this work we introduce a nonlinear extension of linear filters optimizing under MSE criterion the memory function (MF, multivariate Boolean function with not only binary output) which is in the core of DA based implementation. Such an extension will improve the filtering of noise which can contain non Gaussian components without increasing the complexity of implementation. Experiments on real images have shown the superiority of the proposed filter over the optimal linear filters. Different versions of these filters are also considered for the removal of impulsive noise, processing with the large input data windows and fast processing.

Citation Download Citation

David Akopian and Jaakko T. Astola "Optimal nonlinear extension of linear filters based on distributed arithmetic", Proc. SPIE 3167, Statistical and Stochastic Methods in Image Processing II, (14 October 1997); https://doi.org/10.1117/12.290273

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