Statistical modeling of images with fields of Gaussian scale mixtures

Siwei Lyu, Eero Simoncelli

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

Abstract

The local statistical properties of photographic images, when represented in a multi-scale basis, have been described using Gaussian scale mixtures (GSMs). Here, we use this local description to construct a global field of Gaussian scale mixtures (FoGSM). Specifically, we model subbands of wavelet coefficients as a product of an exponentiated homogeneous Gaussian Markov random field (hGMRF) and a second independent hGMRF. We show that parameter estimation for FoGSM is feasible, and that samples drawn from an estimated FoGSM model have marginal and joint statistics similar to wavelet coefficients of photographic images. We develop an algorithm for image denoising based on the FoGSM model, and demonstrate substantial improvements over current state-of-the-art denoising method based on the local GSM model.

Original languageEnglish (US)
Title of host publicationAdvances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference
Pages945-952
Number of pages8
StatePublished - 2007
Event20th Annual Conference on Neural Information Processing Systems, NIPS 2006 - Vancouver, BC, Canada
Duration: Dec 4 2006Dec 7 2006

Other

Other20th Annual Conference on Neural Information Processing Systems, NIPS 2006
CountryCanada
CityVancouver, BC
Period12/4/0612/7/06

Fingerprint

Image denoising
Parameter estimation
Statistics

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Signal Processing

Cite this

Lyu, S., & Simoncelli, E. (2007). Statistical modeling of images with fields of Gaussian scale mixtures. In Advances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference (pp. 945-952)

Statistical modeling of images with fields of Gaussian scale mixtures. / Lyu, Siwei; Simoncelli, Eero.

Advances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference. 2007. p. 945-952.

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

Lyu, S & Simoncelli, E 2007, Statistical modeling of images with fields of Gaussian scale mixtures. in Advances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference. pp. 945-952, 20th Annual Conference on Neural Information Processing Systems, NIPS 2006, Vancouver, BC, Canada, 12/4/06.
Lyu S, Simoncelli E. Statistical modeling of images with fields of Gaussian scale mixtures. In Advances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference. 2007. p. 945-952
Lyu, Siwei ; Simoncelli, Eero. / Statistical modeling of images with fields of Gaussian scale mixtures. Advances in Neural Information Processing Systems 19 - Proceedings of the 2006 Conference. 2007. pp. 945-952
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