简介:AmodifiedversionoftheCotte,Lions,MorelandCoiltheoryforimageselectivesmoothingandedgedetectionisproposed.Comparingwiththeirmodel,themostimportantadvantageofthismodificationisthattheconvolutionwithGaussianprocessesinthefilteringprocessisreplacedbysolvinganinitial-boundaryvalueproblemfortheheatequation,whichsimplifiesthenumericalschemetosomeextent.Numericalexperimentsonnaturalimagesarepresentedforthismodel.