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Computer Vision & Pattern Recognition Lab. 2004. 10. 4 ()Introduction to Wavelets!!
Computer Vision & Pattern Recognition Lab.
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ContentsWavelet construction and pyramid transform
Multiresolution analysis 3Wavelets 5Mallat pyramid transform 8Ex) 14
Computer Vision & Pattern Recognition Lab.
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Multiresolution analysis (Multiresolutin analysis:MRA) .
. - 2-scale .
Computer Vision & Pattern Recognition Lab.
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scale . scale j : scale k : .
(projection) . , : (approximateion coefficient)
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2. Wavelets .
. or .
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, . , : (detail coefficient) - (Wavelet) .
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3. Mallat pyramid transform FWT(Fast Wavelet Transform) IFWT(Inverse Fast Wavelet Transform) Mallat . . , . ,
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: (scaling coefficients)
m+1 m . , (convolution) .
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H G , H G (Discrete Wavelet Transform) .
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4 , , , .
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Computer Vision & Pattern Recognition Lab.
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EX)
Computer Vision & Pattern Recognition Lab.
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Computer Vision & Pattern Recognition Lab.
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Computer Vision & Pattern Recognition Lab.
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Computer Vision & Pattern Recognition Lab.
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4 DC , . , . . , ('0') . (threshold) 0 0 . .
Computer Vision & Pattern Recognition Lab.
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Computer Vision & Pattern Recognition Lab.
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Computer Vision & Pattern Recognition Lab.