Computer Vision & Pattern Recognition Lab. 위 은 영 2004. 10. 4 ( 월 )

Computer Vision & Pattern Recognition Lab. 2004. 10. 4 ()Introduction to Wavelets!!

Computer Vision & Pattern Recognition Lab.

ContentsWavelet construction and pyramid transform

Multiresolution analysis 3Wavelets 5Mallat pyramid transform 8Ex) 14


Multiresolution analysis (Multiresolutin analysis:MRA) .

. - 2-scale .


scale . scale j : scale k : .

(projection) . , : (approximateion coefficient)


2. Wavelets .

. or .


, . , : (detail coefficient) - (Wavelet) .

.


3. Mallat pyramid transform FWT(Fast Wavelet Transform) IFWT(Inverse Fast Wavelet Transform) Mallat . . , . ,


: (scaling coefficients)

m+1 m . , (convolution) .


,

H G , H G (Discrete Wavelet Transform) .


4 , , , .

.


.

.


.


EX)


4 DC , . , . . , ('0') . (threshold) 0 0 . .


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