ECE468_23 - ECE 468: Digital Image Processing Lecture 22...

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ECE 468: Digital Image Processing Lecture 22 Prof. Sinisa Todorovic sinisa@eecs.oregonstate.edu 1
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Outline Homework 7 due Discrete Wavelet Transform (Textbook 7.3.2) Fast Wavelet Transform (Textbook 7.4) 2
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Discrete Wavelet Transform f ( n )= 1 M ± k W ϕ ( j 0 ,k ) ϕ j 0 ,k ( n )+ 1 M ± j = j 0 ± k W ψ ( j,k ) ψ j,k ( n ) W ϕ ( j 0 ,k )= 1 M ± n f ( n ) ϕ j 0 ,k ( n ) W ψ ( j,k )= 1 M ± n f ( n ) ψ j,k ( n ) ,j j 0 M =2 j n =0 , 1 , 2 , . . . , M - 1 j =0 , 1 , 2 , . . . , J - 1 k =0 , 1 , 2 , . . . , 2 j - 1 3
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Fast Wavelet Transform W ϕ ( j,k )= 1 M ± n f ( n ) ϕ j,k ( n ) 4
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Fast Wavelet Transform W ϕ ( j,k )= 1 M ± n f ( n ) ϕ j,k ( n ) = 1 M ± n f ( n )2 j 2 ϕ (2 j n - k ) 4
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Fast Wavelet Transform W ϕ ( j,k )= 1 M ± n f ( n ) ϕ j,k ( n ) = 1 M ± n f ( n )2 j 2 ϕ (2 j n - k ) = 1 M ± n f ( n )2 j 2 ± m h ϕ ( m - 2 k ) 2 ϕ (2 j +1 n - m ) 4
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W ϕ ( j,k )= 1 M ± n f ( n ) ϕ j,k ( n ) = 1 M ± n f ( n )2 j 2 ϕ (2
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This note was uploaded on 12/05/2010 for the course ECE 468 taught by Professor Lucchese during the Fall '08 term at Oregon State.

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ECE468_23 - ECE 468: Digital Image Processing Lecture 22...

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