Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain

Hossein Rabbani, Mansur Vafadust, Ivan Selesnick

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we present a new video denoising algorithm using bivariate Cauchy probability density function (pdf) with local scaling factor for distribution of wavelet coefficients in each subband. The bivariate pdf takes into account the statistical dependency among wavelet coefficients and the local scaling factor model the empirically observed correlation between the coefficient amplitudes. Using maximum a posteriori (MAP) estimator and minimum mean squared estimator (MMSE), we describe two methods for video denoising which rely on the bivariate Cauchy random variables with high local correlation. Because separate 3-D transforms, such as ordinary 3-D wavelet transforms (DWT), have artifacts that degrade their performance for denoising, we implement our algorithms in 3-D complex wavelet transform (DCWT) domain. In addition, we use our denoising algorithm in 2-D DCWT domain, where the 2-D transform is applied to each frame individually. The simulation results show that our denoising algorithms achieve better performance than several published methods both visually and in terms of peak signal-to-noise ratio (PSNR).

Original languageEnglish (US)
Title of host publicationApplications of Digital Image Processing XXX
Volume6696
DOIs
StatePublished - 2007
EventApplications of Digital Image Processing XXX - San Diego, CA, United States
Duration: Aug 28 2007Aug 30 2007

Other

OtherApplications of Digital Image Processing XXX
CountryUnited States
CitySan Diego, CA
Period8/28/078/30/07

Fingerprint

wavelet analysis
Wavelet transforms
probability density functions
estimators
Probability density function
coefficients
scaling
random variables
Random variables
artifacts
Signal to noise ratio
signal to noise ratios
simulation

Keywords

  • 3-D complex wavelet transform
  • MAP estimator
  • MMSE estimator
  • Statistical modeling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Rabbani, H., Vafadust, M., & Selesnick, I. (2007). Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain. In Applications of Digital Image Processing XXX (Vol. 6696). [66962G] https://doi.org/10.1117/12.740040

Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain. / Rabbani, Hossein; Vafadust, Mansur; Selesnick, Ivan.

Applications of Digital Image Processing XXX. Vol. 6696 2007. 66962G.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rabbani, H, Vafadust, M & Selesnick, I 2007, Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain. in Applications of Digital Image Processing XXX. vol. 6696, 66962G, Applications of Digital Image Processing XXX, San Diego, CA, United States, 8/28/07. https://doi.org/10.1117/12.740040
Rabbani H, Vafadust M, Selesnick I. Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain. In Applications of Digital Image Processing XXX. Vol. 6696. 2007. 66962G https://doi.org/10.1117/12.740040
Rabbani, Hossein ; Vafadust, Mansur ; Selesnick, Ivan. / Local bivariate cauchy distribution for video denoising in 3-D complex wavelet domain. Applications of Digital Image Processing XXX. Vol. 6696 2007.
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