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ID:33740615
大小:670.99 KB
页数:43页
时间:2019-02-28
《基于偏微分方程的图像修补》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、西安理工大学硕士学位论文Title:PDE-basedImageInpaintingMajor:ComputationalMathematicsAuthorName:Signature:Supervisor:Signature:AbstractImagerestorationisanimportantcontentinimageprocessing.Thepurposeistorepairscratchesanddefectinimages,orremovetheobjectwiththespecifiedtextinim
2、ageusingsomealgorithms,andultimatelyachievespecificgoals.Inrecentyears,imageinpaintingmethodbasedonpartialdifferentialequations(PDE)tobecomeanimportantimageprocessingscienceresearchcomponent.PDE-basedpatchrepairprocessmodelistotransformtheimagerepairprocessintoase
3、riesofpartialdifferentialequationsortheenergyfunctionalmodel,furtheruseofnumericaliterativemethodstorepairingimages.Thesealgorithmscanmaketherepairareaaroundwaitingforvaluableinformationinaccordancewiththeirowninwarddiffusionisophotepatchimage,whilemaintainingthes
4、moothedgesoftheimageunderthepremiseofthenoise.Thispaperfocusesonimagerepairprocessmethodbasedonpartialdifferentialequations.Indefacedregioninitialization,takingintoaccountthecorrelationbetweendefacedregioninformationandmissinginformation,therelevantrandominitializ
5、ationprogramisdesigned.Comparisonwithotherinitializationprograms,theprogramforpatchingeffectscanactivelyimproveandenhancetheefficiencyofrepairimages.Fortotalvariationpatchingmodel,thispaperanalyzeddetailedtheinfluenceoftheimagegradientandcurvatureofthelevelsettoth
6、econductioncoefficient.ThemorenaturalrepaireffectisobtainedbymodifiedCDDmodel.Meanwhile,takingintoaccountthediffusionalongthetangentialandnormalofisophotes,aunifiedrepairmodelisproposedbycombinationthemodels.Experimentalresultsshowthatthemodelcaneffectivelyimprove
7、thepatchrepairresults.Keywords:partialdifferentialequation;imageinpainting;imagedenoising;curvevolution2目录目录1绪论............................................................................................................................11.1研究目的与意义..................
8、............................................................................11.2偏微分方程图像处理研究进展...........................................................
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