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10.3934_eect.2025039.pdf

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/110012 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/110012 http://eprints.org/relation/ismediumThumbnailVersionOf https://pure.iiasa.ac.at/id/document/110012 110023 2 333407 document 110023 small.jpg image/png 4c04c23b9f94825c56e17aa72eed031d MD5 1733 2025-06-02 07:55:14 https://pure.iiasa.ac.at/id/eprint/20637/6/small.jpg 20637 6 6 image/png other Thumbnails conversion from text to thumbnail_small en public

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/110012 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/110012 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/110012 archive 353 disk0/00/02/06/37 2025-06-02 07:47:12 2025-12-03 10:43:41 2025-06-02 07:47:12 article show 1 Majee S. Brännström Å. 8085 Lundstrom N. pub ASA CAT EM Image despeckling, nonlinear diffusion, telegraph equation, variable exponent, gray level function, weak solution In this paper, we present a telegraph diffusion model with variable exponents for image despeckling. Moving beyond the traditional assumption of a constant exponent in the telegraph diffusion framework, we explore three distinct variable exponents for edge detection. All of these depend on the gray level of the image or its gradient. We rigorously prove the existence and uniqueness of weak solutions of our model in a functional setting and perform numerical experiments to assess how well it can despeckle noisy gray-level images. We consider both a range of natural images contaminated by varying degrees of artificial speckle noise and synthetic aperture radar (SAR) images. We finally compare our method with the nonlocal speckle removal technique and find that our model outperforms the latter at speckle elimination and edge preservation. 2025 published doi:10.3934/eect.2025039 39 public Evolution Equations and Control Theory 14 6 1412-1450 1 TRUE 2163-2480 no info:eu-repo/semantics/article