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Non-linear filter response distributions of natural images and applications in image processing

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Mohammad, Nassir 2011. Non-linear filter response distributions of natural images and applications in image processing. Applied Mathematics and Information Sciences 5 (3) , pp. 367-389.

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Abstract

Statistics of natural images have shown to be non-Gaussian quantities displaying high kurtosis, heavy tails and sharp central cusps, i.e. sparse distributions. In this paper we extend on these results to show that the non-linear filter response distributions of natural colour images are also sparse. We then incorporate the statistics of natural images into Bayesian models to illustrate image processing applications in colorization of gray images, compression of colour images and reconstruction of chroma channels from corrupted data.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher: Natural Sciences Publishing Co
ISSN: 1935-0090
Last Modified: 19 Oct 2022 10:27
URI: https://orca.cardiff.ac.uk/id/eprint/24436

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