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Performance of bilateral filtering on Gaussian noise

Title
Performance of bilateral filtering on Gaussian noise
Authors
Park, JunheeHan, Ji-HeeLee, Byung-Uk
Ewha Authors
이병욱박준희
SCOPUS Author ID
이병욱scopus; 박준희scopus
Issue Date
2014
Journal Title
JOURNAL OF ELECTRONIC IMAGING
ISSN
1017-9909JCR Link1560-229XJCR Link
Citation
vol. 23, no. 4
Keywords
bilateral filteringdenoisingergodic theorem
Publisher
IS& T & SPIE
Indexed
SCIE; SCOPUS WOS
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. (C) 2014 SPIE and IS&T
DOI
10.1117/1.JEI.23.4.043024
Appears in Collections:
엘텍공과대학 > 전자공학과 > Journal papers
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