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Performance of bilateral filtering on Gaussian noise

[+] Author Affiliations
Junhee Park

Ewha Womans University, Department of Electronics Engineering, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 120-750, Republic of Korea

Ji-Hee Han

Ewha Womans University, Department of Electronics Engineering, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 120-750, Republic of Korea

Byung-Uk Lee

Ewha Womans University, Department of Electronics Engineering, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 120-750, Republic of Korea

J. Electron. Imaging. 23(4), 043024 (Aug 27, 2014). doi:10.1117/1.JEI.23.4.043024
History: Received December 27, 2013; Revised June 29, 2014; Accepted August 6, 2014
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Abstract.  Bilateral filtering is a nonlinear technique that reduces noise from images while preserving strong image edges. Due to the nonlinear nature of bilateral filtering, it is difficult to analyze the performance of the filter. We derive a closed-form equation of bilateral filtering for flat regions which shows the relationship between noise reduction and filtering parameters. This work explicitly shows that noise reduction depends on the ratio of the range parameter to the noise standard deviation, which confirms reported empirical observations. The derived result is a significant contribution for the analysis of bilateral filters toward estimating the optimal parameters for minimum mean square error. We demonstrate that the theoretical analysis presented is consistent with simulations.

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Citation

Junhee Park ; Ji-Hee Han and Byung-Uk Lee
"Performance of bilateral filtering on Gaussian noise", J. Electron. Imaging. 23(4), 043024 (Aug 27, 2014). ; http://dx.doi.org/10.1117/1.JEI.23.4.043024


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