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Kim, Yunho
Mathematical Imaging Lab
Research Interests
  • Optimization, inverse problems, convex analysis, calculus of variations, partial differential equations, computational mathematics, medical/biomedical imaging

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Image Restoration with a New Class of Forward-Backward-Forward Diffusion Equations of Perona-Malik Type with Applications to Satellite Image Enhancement

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Title
Image Restoration with a New Class of Forward-Backward-Forward Diffusion Equations of Perona-Malik Type with Applications to Satellite Image Enhancement
Author
Guidotti, PatrickKim, YunhoLambers, James
Issue Date
2013
Publisher
SIAM PUBLICATIONS
Citation
SIAM JOURNAL ON IMAGING SCIENCES, v.6, no.3, pp.1416 - 1444
Abstract
new class of anisotropic diffusion models is proposed for image processing which can be viewed either as a novel kind of regularization of the classical Perona-Malik model or, as advocated by the authors, as a new independent model. The models are diffusive in nature and are characterized by the presence of both forward and backward regimes. In contrast to the Perona-Malik model, in the proposed model the backward regime is confined to a bounded region, and gradients are only allowed to grow up to a large but tunable size, thus effectively preventing indiscriminate singularity formation, i.e., staircasing. Extensive numerical experiments demonstrate that the method is a viable denoising/deblurring tool. The method is significantly faster than competing state-of-the-art methods and appears to be particularly effective for simultaneous denoising and deblurring. An application to satellite image enhancement is also presented.
URI
https://scholarworks.unist.ac.kr/handle/201301/8823
URL
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84885051412
DOI
10.1137/120882895
ISSN
1936-4954
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MTH_Journal Papers
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