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Journal of Electronic Imaging

Performance of bilateral filtering on Gaussian noise
Author(s): Junhee Park; Ji-Hee Han; Byung-Uk Lee
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Paper 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.

Paper Details

Date Published: 27 August 2014
PDF: 10 pages
J. Electron. Imag. 23(4) 043024 doi: 10.1117/1.JEI.23.4.043024
Published in: Journal of Electronic Imaging Volume 23, Issue 4
Show Author Affiliations
Junhee Park, Ewha Womans Univ. (Korea, Republic of)
Ji-Hee Han, Ewha Womans Univ. (Korea, Republic of)
Byung-Uk Lee, Ewha Womans Univ. (Korea, Republic of)

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