基于非线性扩散的纹理分割(英文)

基于非线性扩散的纹理分割(英文)IntroductionTexture segmentation is a process of dividing an image into different re

() 基于非线性扩散的纹理分割英文 Introduction Texturesegmentationisaprocessofdividinganimageinto differentregionsbasedontexturefeatures.Itplaysasignificant roleinavarietyofapplicationssuchasobjectrecognition,image retrieval,andcomputervision.Severalalgorithmshavebeen proposedfortexturesegmentation,includingsupervised, unsupervised,andsemi-supervisedapproaches.Recently, nonlineardiffusion-basedmethodshavegainedincreasing attentionduetotheirabilitytopreserveedgesandsuppress noise,whichmakesthemsuitablefortexturesegmentation. NonlinearDiffusion-BasedTextureSegmentation Nonlineardiffusion-basedtexturesegmentationisamethod thatusespartialdifferentialequations(PDEs)toperformimage processing.Itleveragestheideaofiterativelysmoothinganimage whilepreservingedges.Thegoalistoreduceunwantedtexture informationwhileretainingtextureboundaries.Themathematical modelusedfordiffusionregularizationisdefinedas: ∂u/∂t=∇·(g(|∇u|)∇u) whereurepresentstheinputimage,tistime,∇uisthe gradientofu,andg(|∇u|)isanonlineardiffusioncoefficientthat regulatesthediffusionprocess.Thecoefficientisafunctionofthe gradientmagnitudethatisinverselyproportionaltothe magnitudeofthegradient.Thediffusioncoefficientishigherin theflatareasandloweratthetextureboundaries. Thetexturesegmentationtaskisachievedbysolvingthe followingenergyfunctional: E(u,B)=∬B((u(x,y)- 𝑣 1)2-(u(x,y)- 𝑣 2)2)dxdy+ 𝜆 ∬∇u^2dxdy whereuistheoutputimage,Bistheimagedomain, 𝑣 1and 𝑣 2arethemeantextureintensities,and 𝜆 isaparameterthat controlsthetrade-offbetweenthetwoterms.Thefirstterm measuresthedifferencesintextureintensitywithintheimage,and thesecondtermmeasurestheregularityoftheoutputimage. Implementation Thenonlineardiffusion-basedtexturesegmentation