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A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging

Guozhi Dong, Michael Hintermueller, Ye Zhang

2021SIAM Journal on Imaging Sciences14 citationsDOI

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 10 September 2020Accepted: 01 February 2021Published online: 13 May 2021Keywordssecond-order quasilinear hyperbolic equation, geometric PDEs, total variation flow, mean curvature flow, level set, second-order dynamics, nonsmooth and nonconvex variational methods, image denoising, displacement error correctionAMS Subject Headings35L10, 35L70, 35L72, 35L80, 49K20, 49J52, 65M12Publication DataISSN (online): 1936-4954Publisher: Society for Industrial and Applied MathematicsCODEN: sjisbi

Topics & Concepts

Geometric flowMathematicsClass (philosophy)CurvatureNoise reductionMean curvature flowDisplacement (psychology)Order (exchange)Applied mathematicsImage (mathematics)Mean curvatureImage denoisingSet (abstract data type)Flow (mathematics)Mathematical analysisComputer scienceArtificial intelligenceGeometryProgramming languagePsychotherapistPsychologyFinanceEconomicsAdvanced Numerical Analysis TechniquesAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems
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