Information theoretic limit of single-frame super-resolution

Kotaro Yamaguchi, Masanori Kawakita, Norikazu Takahashi, Junnichi Takeuchi

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

Abstract

We elucidate the potential limit of single-frame super-resolution by information theory. Though various algorithms for super-resolution have been proposed, there exist only few works that evaluate the performance of super-resolution to our knowledge. Our key idea is that "single-frame super-resolution task can be regarded as channel coding in information theory." Based on this recognition, we can apply some techniques of information theory to the analysis of single-frame super-resolution. As its first step, we clarify the potential limit of single-frame super-resolution. For this purpose, we use a model of Yang et al. (2008) as a statistical model of natural images. As a result, we elucidate the condition that "arbitrary high-resolution natural image can be potentially recovered with arbitrarily small error by single-frame super-resolution." This condition depends on S/N ratio and blurring parameter. We investigate numerically whether this condition is satisfied or not for several situations.

Original languageEnglish
Title of host publicationProceedings - 3rd International Conference on Emerging Security Technologies, EST 2012
Pages82-85
Number of pages4
DOIs
Publication statusPublished - Nov 26 2012
Event3rd International Conference on Emerging Security Technologies, EST 2012 - Lisbon, Portugal
Duration: Sep 5 2012Sep 7 2012

Other

Other3rd International Conference on Emerging Security Technologies, EST 2012
CountryPortugal
CityLisbon
Period9/5/129/7/12

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality

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    Yamaguchi, K., Kawakita, M., Takahashi, N., & Takeuchi, J. (2012). Information theoretic limit of single-frame super-resolution. In Proceedings - 3rd International Conference on Emerging Security Technologies, EST 2012 (pp. 82-85). [6328088] https://doi.org/10.1109/EST.2012.32