%0 Journal Article %T 基于主方向构造二分树复数小波的新方法 %A 王红霞 %A 陈波 %A 成礼智 %J 自动化学报 %P 47-53 %D 2006 %X ?Theconceptionof“maindirection”ofmulti-dimensionalwaveletisestablishedinthispaper,andthecapabilitiesofseveralclassicalcomplexwaveletsforrepresentingdirectionalsingularitiesareinvestigatedbasedontheirmaindirections.Itisprovedtobeimpossibletorepresentdirectionalsingularitiesoptimallybyamulti-resolutionanalysis(MRA)ofL2(R2).Basedontheaboveresults,anewalgorithmtoconstructQ-shiftdualtreecomplexwaveletisproposed.Byoptimizingthemaindirectionofparameterizedwaveletfilters,thedifficultyinchoosingstop-bandfrequencyisovercomeandtheperformancesofthedesignedwaveletareimprovedtoo.Furthermore,resultsofimageenhancementbyvariousmulti-scalemethodsaregiven,whichshowthatthenewdesignedQ-shiftcomplexwaveletdooffersignificantimprovementovertheconventionallyusedwavelets.Directionsensitivityisanimportantindextotheperformanceof2Dwavelets. %K Complexwavelet %K maindirection %K Daubechiescomplexwavelet %K dualtreecomplexwavelet %K imageenhancement %U http://www.aas.net.cn/CN/abstract/abstract15765.shtml