简介:让是四元数海森堡组,并且让P是仿射的自守组。我们上经由P的单一的代表在四元数海森堡组上开发连续小浪变换的理论。光线的小浪的一个班被构造。反的小浪变换被使用光线的小浪简化。然后,我们上调查氡变换。一个Semyanistyi-Lizorkin空格被介绍,在哪个上氡变换是bijection。我们由欧几里德几何学的Fourier变换和组Fourier变换在两个上处理氡变换。这二个处理是实质上相等的。如果小浪是光滑的,我们也由使用小浪给一个倒置公式,它不要求功能的光滑。另外,我们获得上与亚拉普拉斯算符联系的氡变换的一个倒置公式。
简介:TheauthorsdefinethedirectionalhyperHilberttransformandgiveitsmixednormestimate.Thesimilarconclusionsforthedirectionalfractionalintegralofonedimensionarealsoobtainedinthispaper.Asanapplicationoftheaboveresults,theauthorsgivetheLp-boundednessforaclassofthehypersingularintegralsandthefractionalintegralswithvariablekernel.Moreover,asanotherapplicationoftheaboveresults,theauthorsprovethedimensionfreeestimateforthehyperRiesztransform.ThisisanextensionoftherelatedresultobtainedbyStein.
简介:Basedonhreedifferentimplementationschemes,thispaperstronglydemonstratesthattheperformanceoftheHoughtransformdependscruciallyonitsimplementationscemewhenitisusedforlinedetection.Moreover,theobtainedresultscanbeusedasatheoreticalbasistopredicttheperformanceoftheHoughtransformaswellastoeliminatethenoiseinHoughspacecomingfromimagenoise.
简介:介绍配对的Haar变换被显示出的最近的不同性质。不完全地指定的布尔功能的NonpolynomialHaarPxpansion被介绍了。把配对的Haar光谱的一些应用基于上述性质和扩大被建议了。为Haar对光谱从的计算的算法拆散为不完全地指定的布尔功能的系统的立方体也被开发了。
简介:Thispaperpresentssomeresultsoftherelationbetweenwavelettransformandfractaltransform.Thewavelettransformoftheattractoroffractaltransformpossesestranslationalandscaleinvariance.Sowespeedthefractalimageencodingbytestingtheinvarianceofthewavelettransformappropriateforimageencoding.Theclassficationschemeofrangeblocksbywavelettransformisgiveninthispaper.
简介:Wavelettransformisaparticularlyusefultooltocharacterizetran-sientphenomenasuchaswavebreaking.Inthispaper,weapplywavelettransformtothedetectionandquantificationofthebreakingwaves.Weuseanewmethodthatusesthelocalpropertiesofwavelettransformtodetectandquantifythebreak-ingwavesandgivesomenewbreakingcriteria.Bycomparingthismethodwiththeclassicmethod,wefindthatwavelettransformisveryeffectiveinthedetectionofbreakingwaves.Withwavelettransform,asetofmeasuredwindwavedataisinves-tigated.Theresultshaverevealedsomepreviouslyunknownphenomenaaboutwavebreaking.
简介:Thewavelettransformhasremarkableadvantagesandwideapplicationsindenoisingbecauseofitscharacteristicofgoodtime-frequency.Basedontheanalysisoftraditionalwaveletdenoisingmethods,whicharebasedonFouriertransform,animprovedmethodisproposed.ItovercomestheshortcomingsofthetraditionalFourierdenoisingmethod.Inthispaper,thedenoisingproceduresareintroducedrespectivelybasedonthewavelettransformandthemethodofconnectingthewaveletthresholdwiththewaveletbasisisadopted.ThroughMatlabsimulationandconcretedata,itarrivesattheconclusionthatthemethodofsignaldenoisingbasedonthewavelettransformisobviouslymoreeffectiveandbetterthanthetraditionalmethodbasedonFouriertransform.
简介:Inthispaper,weproposetheso-calledcontinuousFresnel-waveletcombinatorialtransformwhichmeansthatthemotherwaveletundergoestheFresneltransformation.Thismotivationcanletthemother-wavelet-stateitselfvaryfrom|ψtoFr,s|ψ,exceptforvariationwithinthefamilyofdilationsandtranslations.TheParseval’sequality,admissibilityconditionandinversetransformofthiscontinuousFresnel-waveletcombinatorialtransformareanalysed.BytakingcertainparametersandusingtheadmissibilityconditionofthiscontinuousFresnel-waveletcombinatorialtransform,weobtainsomemotherwavelets.Acomparisonbetweenthenewlyfoundmotherwaveletsispresented.
简介:ADMISSIBLEWAVELETSASSOCIATEDWITHTHETRANSFORMGROUPONRHEJIANXUNANDPENGLIZHONGAbstract.LetPbethetransformgrouponRn,thenPhasanatu...
简介:ThisletterpresentsanovelspatialerrorconcealmentalgorithmfortheH.264videocoding.Theerrorconcealmentalgorithmisbasedondirectionalinterpolation.Mojettetransformisusedtoestimatetheorientationfeaturesofthedamagedblocks,andtheimageisinterpolatedintheappro-priatedirections.Theproposedmethodiscomparedwithbilinearinterpolationalgorithmintheref-erenceimplementationofH.264andalldirectionalinterpolation.Experimentalresultsprovethattheproposedalgorithmhasbettersubjectiveandobjectiveimagereconstructionquality.
简介:一个方法为转换被描述在Laguerre多项式使用扩大并且把Mellin变换变换成Laplace变换的Mellin变换,然后,Laplace变换被合适的替换变换成第一个客气的卷绕旋转积分方程。那么获得的不可分的方程是一个提出病的问题,我们使用花键规则化解决它。方法的性能被在文学可得到的测试函数的倒置说明[J。Inst。数学。与Appl。20(1977),p。73],[J。数学。Comp。53(1989),p。589],[J。Sci。Stat。Comp。4(1983),p。164]。方法的有效性被获得的结果显示出借助于桌子和图示威了。
简介:整体变换(et)方法被显示了在为适应观察推广提供指导有用。它在整体subspace用它的相应转变矩阵为各可能的推广预言预报错误变化减小。在这份报纸,一个新基于et的敏感(et)方法,以分析错误变化减小计算预报错误变化减小的坡度,被建议为可能的适应观察指定区域。et是ET的第一顺序近似;它要求就一个转变矩阵的一计算,增加计算效率(在计算费用的60%80%减小)。ETS坡度的明确的数学明确的表达被导出并且描述。ET和et方法为比较被用于飓风艾琳(2011)箱子和一个重降雨箱子。数字结果暗示ETS和et估计的敏感区域是类似的。然而,et是更有效的,特别地当分辨率更高,整体成员的数字更大时。
简介:ThispaperpresentsamethodforthecomputationoftheStokesfor-mulausingtheFastHartleyTransform(FHT)techniques.Thealgorithmismostsuitableforthecomputationofrealsequencetransform,whiletheFastFourierTransform(FFT)techniquesaremoresuitableforthecomputatonofcomplexse-quencetransform.Amethodofsphericalcoordinatetransformationispresentedinthispaper.Bythismethodtheerrors,whichareduetotheapproximatetermintheconvolutionofStokesformula,canbeeffectivelyeliminated.Somenumericaltestsaregiven.ByacomparisonwithbothFFTtechniquesandnumericalintegra-tionmethod,theresultsshowthattheresultingvaluesofgeoidalundulationsbyFHTtechniquesarealmostthesameasbyFFTtechniques,andthecomputation-alspeedofFHTtechniquesisabouttwotimesfasterthanthatofFFTtechniques.
简介:Researchinterestinmulti-frameSuperresolutionhasrisensubstantiallyinrecentyears.ThispaperpresentsamodifiedProjectionOntoConvexSet(POCS)superresolutionmethodbasedonwavelettransform.Themethodanalyzestheimageformationmodelfromwaveletmultiresolutionanalysispointofviewanddefinesanclosedconvexsetanditscorrespondingprojectionbasedonwavelettransform.Aniterativeprocedureisutilizedtoreducetheestimatederrorsoftheresultimage,andthisguaranteestheestimatedimagetolayintheintersectionofdifferentconvexsets,thusproducesahighresolutionimagewithareducederror.Theeffectivenessofthealgorithmisdemonstratedbyexperimentalresults.