Posterior mean super-resolution with a compound Gaussian Markov random field prior

Takayuki Katsuki; Masato Inoue

doi:10.1109/ICASSP.2012.6288015

Posterior mean super-resolution with a compound Gaussian Markov random field prior

Takayuki Katsuki^*, Masato Inoue

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

This manuscript proposes a posterior mean (PM) super-resolution (SR) method with a compound Gaussian Markov random field (MRF) prior. SR is a technique to estimate a spatially high-resolution image from observed multiple low-resolution images. A compound Gaussian MRF model provides a preferable prior for natural images that preserves edges. PM is the optimal estimator for the objective function of peak signal-to-noise ratio (PSNR). This estimator is numerically determined by using variational Bayes (VB). We then solve the conjugate prior problem on VB and the exponential-order calculation cost problem of a compound Gaussian MRF prior with simple Taylor approximations. In experiments, the proposed method roughly overcomes existing methods.

Original language	English
Title of host publication	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
Pages	841-844
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.2012.6288015
Publication status	Published - 2012 Oct 23
Event	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Kyoto, Japan Duration: 2012 Mar 25 → 2012 Mar 30

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Conference

Conference	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
Country/Territory	Japan
City	Kyoto
Period	12/3/25 → 12/3/30

Keywords

Markov random field prior
Taylor approximation
fully Bayesian approach
super-resolution
variational Bayes

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.2012.6288015

Cite this

Katsuki, T., & Inoue, M. (2012). Posterior mean super-resolution with a compound Gaussian Markov random field prior. In 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings (pp. 841-844). [6288015] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2012.6288015

Posterior mean super-resolution with a compound Gaussian Markov random field prior. / Katsuki, Takayuki; Inoue, Masato.
2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings. 2012. p. 841-844 6288015 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Katsuki, T & Inoue, M 2012, Posterior mean super-resolution with a compound Gaussian Markov random field prior. in 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings., 6288015, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, pp. 841-844, 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012, Kyoto, Japan, 12/3/25. https://doi.org/10.1109/ICASSP.2012.6288015

Katsuki T, Inoue M. Posterior mean super-resolution with a compound Gaussian Markov random field prior. In 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings. 2012. p. 841-844. 6288015. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2012.6288015

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Posterior mean super-resolution with a compound Gaussian Markov random field prior

Abstract

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Conference

Keywords

ASJC Scopus subject areas

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