%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