## Improved optimization of soft-partition-weighted-sum filters and their application to image restoration

Applied Optics, Vol. 45, Issue 12, pp. 2697-2706 (2006)

http://dx.doi.org/10.1364/AO.45.002697

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### Abstract

Soft-partition-weighted-sum (Soft-PWS) filters are a class of spatially adaptive moving-window filters for signal and image restoration. Their performance is shown to be promising. However, optimization of the Soft-PWS filters has received only limited attention. Earlier work focused on a stochastic-gradient method that is computationally prohibitive in many applications. We describe a novel radial basis function interpretation of the Soft-PWS filters and present an efficient optimization procedure. We apply the filters to the problem of noise reduction. The experimental results show that the Soft-PWS filter outperforms the standard partition-weighted-sum filter and the Wiener filter.

© 2006 Optical Society of America

**OCIS Codes**

(100.2980) Image processing : Image enhancement

**History**

Original Manuscript: July 20, 2005

Manuscript Accepted: October 11, 2005

**Citation**

Yong Lin, Russell C. Hardie, Qin Sheng, Min Shao, and Kenneth E. Barner, "Improved optimization of soft-partition-weighted-sum filters and their application to image restoration," Appl. Opt. **45**, 2697-2706 (2006)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-12-2697

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