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1、小波轉換應用於二維碎形布朗運動估測, 抗雜訊之影像壓縮,及影像序列上物件追蹤Estimationof2DFractionalBrownianMotion,RobustImageCompression,andObjectTrackinginImageSequencesusingWavelets研究生:劉震昌指導教授:陳銘憲博士黃文良博士研究方向Wavelet-basedimageprocessingEstimationof2DfractionalBrownianmotionError-resilientimagecomp
2、ressionandtransmissionoverIP/wirelessnetworkObjecttrackinginimagesequencesusingactivecontourmodel論文著作期刊論文“Estimationof2-DnoisyfractionalBrownianmotionanditsapplicationsusingwavelets”,IEEEtrans.onImageProcessing,2000.“Ablock-basedchannel-optimizedsourcecodingforE
3、ZW-likeprogressivecodecusingrate-distortionanalysis”,inrevise,IEEEtrans.onImageProcessing.論文著作(2)會議論文“Parameterestimationanddenoisingof2-DnoisyfractionalBrownianmotionusingnon-orthogonalwavelet”,IEEESymposiumonTime-FrequencyandTime-ScaleAnalysis,1998.“Robustbloc
4、k-basedEZWimagecompressionwithchannelnoiseoptimizedrate-distortionfunctions”,IEEEICIP,1999.“Amulti-channelchannel-optimizedschemeforEZWusingrate-distortionfunctions”,IEEEICIP,2000.“Wavelet-basedactivecontourmodelforobjecttracking”,IEEEICIP,2001.ReviewofWaveletTr
5、ansformWhatarethewavelets?Waveletsareafamilyoffunctionsproducedfroma“motherwavelet”bytranslationanddilation:AdmissibilityconditionDiscreteWaveletTransformWaveletdecomposition(Mallat’89PAMI)HH1HL1LH1HH2HL2LH2HH3HL3LH3LL3DiscreteWaveletTransform:ImplementationFilt
6、erbankimplementationhighlowhighlowinputhighlowhighlowScale21Scale22Scale23Scale24222DiscreteWaveletTransform:Mallat’sWavelet(PAMI’92)Letq(x)beasmoothingfunctionx-directionmotherwavelet:y-directionmotherwavelet:SuitableforedgedetectionEstimationof2-D FractionalBr
7、ownianMotion(fBm) anditsApplicationsusingWaveletsOutlineIntroductiontofBmfBmparameterestimationfBmde-noisingApplications2-DfBm:examplesa=0.2a=0.5a=0.82-DIsotropicFractionalBrownianMotionBrownianmotion:realrandomfunctionwithindependentGaussianincrementsB(t2)-B(t1
8、)hasZeromeanVariance=
9、t2-t1
10、FractionalBrownianmotion(B.B.Mandelbrot,1968)fBmofexponentaisamovingaverageofdB(t),inwhichpastincrementsofB(t)areweightedbythekernel(t-s)a
