Two-stage binary filters

Octavian Valeriu Sarca; Edward R. Dougherty; Jaakko T. Astola

doi:10.1117/1.482672

1 July 1999 Two-stage binary filters

Octavian Valeriu Sarca, Edward R. Dougherty, Jaakko T. Astola

Journal of Electronic Imaging, Vol. 8, Issue 3, (July 1999). https://doi.org/10.1117/1.482672

Filter design involves a trade-off between the size of the filter class over which optimization is to be performed and the size of the training sample. As the number of parameters determining the filter class grows, so too does the size of the training sample required to obtain a given degree of precision when estimating the optimal filter from the sample data. A common way to moderate the estimation problem is to use a constrained filter requiring less parameters, but then a trade-off between the theoretical filter performance and the estimation precision arises. The overall result strongly depends on the constraint type. Approaches presented in this paper divide the filter operation into two stages and apply constraints only to the first stage. Such filters are advantageous since they are fully optimal with respect to certain subsets of the filter window. Error expression, representation, and design methodology are discussed. A generic optimization algorithm for such two-stage filters is proposed. Special attention is paid to three particular cases, for which properties, design algorithms, and experimental results are provided: two-stage filters with linearly separable preprocessing, two-stage filters with restricted window preprocessing, and twostage iterative filters.

Citation Download Citation

Octavian Valeriu Sarca, Edward R. Dougherty, and Jaakko T. Astola "Two-stage binary filters," Journal of Electronic Imaging 8(3), (1 July 1999). https://doi.org/10.1117/1.482672

Published: 1 July 1999

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