《图像处理中的数学问题(第2版)(英文版)》内容简介：Introduction、Themageociety、Whatsigitalmage、Aboutartialifferentialquations（PDEs）、Detailedlan、Mathematicalreliminaries、Howoeadhishapter、Theirectethodnhealculusfgriations、Topologiesnanachpaces、Convexityndoweremicontinuity、Rclaxation、Aboutr-Convergence、Thepacefunctionsfoundedariation、Basicefinitionsneasures、DefinitionfBV（Ω）、PropertiesfBV（Ω）、Convexunctionsfeasures、ViscosityolutionsnDEs等等。

Forewordrefaceoheecondditionrefaceoheirstditionuideoheainathematicalonceptsndheirpplicationotationndymbolsntroduction.1hemageociety.2hatsigitalmage7.3boutartialifferentialquations（PDEs）.4etailedlanathematicalreliminariesowoeadhishapter..1heirectethodnhealculusfgriations.1.1opologiesnanachpaces.1.2onvexityndoweremicontinuity.1.3claxat.ion.1.4bout-Convergence.2hepacefunctionsfoundedariation.2.1asicefinitionsneasures.2.2efinitionfBV（Ω）.2.3ropertiesfBV（Ω）.2.4onvexunctionsfeasures.3iscosityolutionsnDEs.3.1boutheikonalquation.3.2efinitionfiscosityolutions.3.3bouthexistence.3.4boutheniqueness.4lementsfifferentialeometry：Curvature.4.1arametrizedurves.4.2urvesSsolevelfunction.4.3magesSurfaces.5therlassicalesultssednhisook.5.1nequalities.5.2alculusacts.5.3boutonvolutionndmoothing.5.4niformonvergence.5.5ominatedonvergence了heorem.5.6ell-Posedroblemsmageestorationowoeadhishapter.1mageegradation.2henergyethod.2.1nnverseroblem.2.2egularizationfheroblem.2.3xistencendniquenessfolutionorheinimizationroblem.2.4owardheumericalpproximationherojectionpproachhealf-Quadraticinimizationpproach.2.5omenvariancesndheolef.2.6omeemarksnheonconvexaSe.3DE-BaSedethods.3.1moothingDEsheeatquationonlineariRusionhelvarez-Guichard-Lions-Morelcalepaceheoryeickert\'spproachurfaceasedpproaches.3.2moothing-EnhancingDEsheeronandalikodelegutarizationfheeronandalikodel：CattetL.3.3nhancingDEshesherndudinhockil