SparseandRedundantRepresentations_FromTheorytoApplicationsinSignalandImageProcessing

SparseandRedundantRepresentations_FromTheorytoApplicationsinSignalandImageProcessing
Thistextbookintroducessparseandredundantrepresentationswithafocusonapplicationsinsignalandimageprocessing.Thetheoreticalandnumericalfoundationsaretackledbeforetheapplicationsarediscussed.Mathematicalmodelingforsignalsourcesisdiscussedalongwithhowtousethepropermodelfortaskssuchasdenoising,restoration,separation,interpolationandextrapolation,compression,sampling,analysisandsynthesis,detection,recognition,andmore.Thepresentationiselegantandengaging.SparseandRedundantRepresentationsisintendedforgraduatestudentsinappliedmathematicsandelectricalengineering,aswellasappliedmathematicians,engineers,andresearcherswhoareactiveinthefieldsofsignalandimageprocessing.*Introducestheoreticalandnumericalfoundationsbeforetacklingapplications*Discusseshowtousethepropermodelforvarioussituations*Introducessparseandredundantrepresentations*FocusesonapplicationsinsignalandimageprocessingThefieldofsparseandredundantrepresentationmodelinghasgonethroughamajorrevolutioninthepasttwodecades.Thisstartedwithaseriesofalgorithmsforapproximatingthesparsestsolutionsoflinearsystemsofequations,latertobefollowedbysurprisingtheoreticalresultsthatguaranteethesealgorithms’performance.Withthesecontributionsinplace,majorbarriersinmakingthismodelpracticalandapplicablewereremoved,andsparsityandredundancybecamecentral,leadingtostate-of-the-artresultsinvariousdisciplines.Oneofthemainbeneficiariesofthisprogressisthefieldofimageprocessing,wherethismodelhasbeenshowntoleadtounprecedentedperformanceinvariousapplications.Thisbookprovidesacomprehensiveviewofthetopicofsparseandredundantrepresentationmodeling,anditsuseinsignalandimageprocessing.Itoffersasystematicandorderedexposuretothetheoreticalfoundationsofthisdatamodel,thenumericalaspec 本软件ID:3112806