内容简介
'Mallat'sbookistheundisputedreferenceinthisfield-itistheonlyonethatcoverstheessentialmaterialinsuchbreadthanddepth'-LaurentDemanet,StanfordUniversity.Theneweditionofthisclassicbookgivesallthemajorconcepts,techniquesandapplicationsofsparserepresentation,reflectingthekeyrolethesubjectplaysintoday'ssignalprocessing.ThebookclearlypresentsthestandardrepresentationswithFourier,waveletandtime-frequencytransforms,andtheconstructionoforthogonalbaseswithfastalgorithms.Thecentralconceptofsparsityisexplainedandappliedtosignalcompression,noisereduction,andinverseproblems,whilecoverageisgiventosparserepresentationsinredundantdictionaries,super-resolutionandcompressivesensingapplications.Thisbookbalancespresentationofthemathematicswithapplicationstosignalprocessing.AlgorithmsandnumericalexamplesareimplementedinWaveLab,aMATLABtoolbox.Companionwebsiteforinstructorsandselectedsolutionsandcodeareavailableforstudents.Thefeaturesnewinthiseditioninclude:sparsesignalrepresentationsindictionaries;compressivesensing,super-resolutionandsourceseparation;geometricimageprocessingwithcurveletsandbandlets;waveletsforcomputergraphicswithliftingonsurfaces;time-frequencyaudioprocessinganddenoising;imagecompressionwithJPEG-2000;and,newandupdatedexercises."AWaveletTourofSignalProcessing:TheSparseWay,ThirdEdition",isaninvaluableresourceforresearchersandR&Dengineerswishingtoapplythetheoryinfieldssuchasimageprocessing,videoprocessingandcompression,bio-sensing,medicalimaging,machinevisionandcommunicationsengineering.StephaneMallatisProfessorinAppliedMathematicsatEcolePolytechnique,Paris,France.From1986to1996hewasaProfessorattheCourantInstituteofMathematicalSciencesatNewYorkUniversity,andbetween2001and2007,heco-foundedandbecameCEOofanimageprocessingsemiconductorcompany.Thecompanionwebsite:ANumericalTourofSignalProcessingincludesallthelatestdevelopmentssincethebookwaspublishedin1999,includingitsapplicationtoJPEG2000andMPEG-4.AlgorithmsandnumericalexamplesareimplementedinWavelab,aMATLABtoolbox.
作者简介
StéphaneMallatisaProfessorintheComputerScienceDepartmentoftheCourantInstituteofMathematicalSciencesatNewYorkUniversity,andaProfessorintheAppliedMathematicsDepartmentatccolePolytechnique,Paris,France.HehasbeenavisitingprofessorintheElectricalEngineeringDepartmentatMassachusettsInstituteofTechnologyandintheAppliedMathematicsDepartmentattheUniversityofTelAviv.Dr.Mallatreceivedthe1990IEEESignalProcessingSociety'spaperaward,the1993AlfredSloanfellowshipinMathematics,the1997OutstandingAchievementAwardfromtheSPIEOpticalEngineeringSociety,andthe1997BlaisePascalPrizeinappliedmathematics,fromtheFrenchAcademyofSciences.