Analysis of the sigma filter using robust estimation

Hao Pan; Scott Daly; M. Ibrahim Sezan

doi:10.1117/12.588072

1 March 2005 Analysis of the sigma filter using robust estimation

Hao Pan, Scott Daly, M. Ibrahim Sezan

Proceedings Volume 5672, Image Processing: Algorithms and Systems IV; (2005) https://doi.org/10.1117/12.588072
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

In this paper, we first analyze a computationally efficient nonlinear edge-preserving smoothing filter, the sigma filter, in the framework of robust estimation. The sigma filter is nearly W-estimator using the metric trimming influence function with a subtle difference. Based on the analysis, we further develop another form of sigma filter as M-estimator of robust estimation using the same metric trimming influence function. The new form of sigma filter is more suitable for hardware implementation. We also compare the sigma filter with other nonlinear edge-preserving filters such as bilateral filter and median filter, in the framework of robust estimation. Finally, experimental results are reported and discussed.

Citation Download Citation

Hao Pan, Scott Daly, and M. Ibrahim Sezan "Analysis of the sigma filter using robust estimation", Proc. SPIE 5672, Image Processing: Algorithms and Systems IV, (1 March 2005); https://doi.org/10.1117/12.588072

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