ECE468_24 - ECE 468: Digital Image Processing Lecture 23...

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ECE 468: Digital Image Processing Lecture 23 Prof. Sinisa Todorovic sinisa@eecs.oregonstate.edu 1
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Outline 2D Wavelet Transform (Textbook 7.5) 2
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2D Scaling and Wavelet Functions ϕ ( x, y )= ϕ ( x ) ϕ ( y ) 3
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2D Scaling and Wavelet Functions ϕ ( x, y )= ϕ ( x ) ϕ ( y ) ψ H ( x, y )= ψ ( x ) ϕ ( y ) ψ V ( x, y )= ϕ ( x ) ψ ( y ) ψ D ( x, y )= ψ ( x ) ψ ( y ) 3
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2D Scaling and Wavelet Functions ϕ ( x, y )= ϕ ( x ) ϕ ( y ) ψ H ( x, y )= ψ ( x ) ϕ ( y ) ψ V ( x, y )= ϕ ( x ) ψ ( y ) ψ D ( x, y )= ψ ( x ) ψ ( y ) ϕ j,m,n ( x,y )=2 j 2 ϕ (2 j x - m, 2 j y - n ) ψ i j,m,n ( x,y )=2 j 2 ψ i (2 j x - m, 2 j y - n ) ,i = H,V,D 3
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2D Discrete Wavelet Transform ϕ ( x, y )= ϕ ( x ) ϕ ( y ) ψ H ( x, y )= ψ ( x ) ϕ ( y ) ψ V ( x, y )= ϕ ( x ) ψ ( y ) ψ D ( x, y )= ψ ( x ) ψ ( y ) 4
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ϕ ( x, y )= ϕ ( x ) ϕ ( y ) ψ H ( x, y )= ψ ( x ) ϕ ( y ) ψ V ( x, y )= ϕ ( x ) ψ ( y ) ψ D ( x, y )= ψ ( x ) ψ ( y ) ϕ
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ECE468_24 - ECE 468: Digital Image Processing Lecture 23...

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