Probability distribution of an image dictionary for compressed sensing

Yuhei Ashida; Toshiaki Aida

doi:10.1109/ICCAS.2016.7832490

Probability distribution of an image dictionary for compressed sensing

Yuhei Ashida, Toshiaki Aida

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

1 Citation (Scopus)

Abstract

Compressed sensing is one of the most effective signal processing methods through the sparse representation of inferred data, in which dictionary matrices play an essential role and they are learned by feature extraction methods such as K-SVD ones. Therefore, in general, it requires a considerable amount of computational cost to construct a dictionary matrix. In this paper, we analytically derive the expression of the probability distribution followed by an image dictionary for compressed sensing, assuming that grey scale images are generated by the Gaussian model. This result enables us to directly generate a dictionary matrix for images with no edge, and can be the first step to analytical performance evaluation of image processing by compressed sensing.

Original language	English
Title of host publication	ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings
Publisher	IEEE Computer Society
Pages	1377-1380
Number of pages	4
ISBN (Electronic)	9788993215120
DOIs	https://doi.org/10.1109/ICCAS.2016.7832490
Publication status	Published - Jan 24 2017
Event	16th International Conference on Control, Automation and Systems, ICCAS 2016 - Gyeongju, Korea, Republic of Duration: Oct 16 2016 → Oct 19 2016

Other

Other	16th International Conference on Control, Automation and Systems, ICCAS 2016
Country	Korea, Republic of
City	Gyeongju
Period	10/16/16 → 10/19/16

Keywords

compressed sensing
dictionary matrix
ratio distribution

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering

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10.1109/ICCAS.2016.7832490

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Ashida, Y & Aida, T 2017, Probability distribution of an image dictionary for compressed sensing. in ICCAS 2016 - 2016 16th International Conference on Control, Automation and Systems, Proceedings., 7832490, IEEE Computer Society, pp. 1377-1380, 16th International Conference on Control, Automation and Systems, ICCAS 2016, Gyeongju, Korea, Republic of, 10/16/16. https://doi.org/10.1109/ICCAS.2016.7832490

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