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09_fsmoothx - Smoothing Frequency-Domain Filters COMP344...

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Smoothing Frequency-Domain Filters COMP344 COMP344 Smoothing Frequency-Domain Filters
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Example Edges, noise contribute significantly to the high-frequency content of the FT of an image COMP344 Smoothing Frequency-Domain Filters
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Lowpass Filtering in the Frequency Domain Blurring/smoothing is achieved by reducing a specified range of high-frequency components G ( u , v ) = H ( u , v ) F ( u , v ) COMP344 Smoothing Frequency-Domain Filters
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Ideal Lowpass Filter (ILPF) Cuts off all high frequency components of the Fourier transform that are at a distance greater than a specified distance D 0 from the origin of the (centered) transform H ( u , v ) = ± 1 D ( u , v ) D 0 0 D ( u , v ) > D 0 D ( u , v ): distance from point ( u , v ) to the origin of the frequency plane (= ( u 2 + v 2 ) 1 / 2 ) D 0 : cutoff frequency , non-negative quantity COMP344 Smoothing Frequency-Domain Filters
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Ideal Lowpass Filter (ILPF). .. Ideal
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This note was uploaded on 09/24/2010 for the course COMP 344 taught by Professor Albertk.wong during the Fall '09 term at HKUST.

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09_fsmoothx - Smoothing Frequency-Domain Filters COMP344...

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