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Course: ECE 161, Fall 2008
School: UCSD
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Word Count: 1596

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filtering, Fourier, smoothing, and noise thi d i Nuno Vasconcelos ECE Department, UCSD p , (with thanks to David Forsyth) Images the incident light is collected by an image sensor E that transforms it into a 2D signal Po V Pi 2 2 2D-DSP in summary: image is a N x M array of pixels each pixel contains three colors overall, the image is a 2D discrete-space signal g each entry is a 3D vector x [ n 1 , n 2...

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filtering, Fourier, smoothing, and noise thi d i Nuno Vasconcelos ECE Department, UCSD p , (with thanks to David Forsyth) Images the incident light is collected by an image sensor E that transforms it into a 2D signal Po V Pi 2 2 2D-DSP in summary: image is a N x M array of pixels each pixel contains three colors overall, the image is a 2D discrete-space signal g each entry is a 3D vector x [ n 1 , n 2 ] = ( r , g , b ), n 1 { 0 ,..., N } n 2 { 0 ,..., M } for simplicity, we consider only single channel images g x [ n 1 , n 2 ], n 1 { 0 ,..., N } n 2 { 0 ,..., M } but everything extends to color in a straightforward manner 3 2D convolution the operation y [n 1 , n 2 ] = k x [k k 1 = - 2 = - 1 , k 2 ] h [n 1 - k 1 , n 2 - k 2 ] is the 2D convolution of x and h we will denote it by y [n 1 , n 2 ] = x [n 1 , n 2 ] h [n 1 , n 2 ] this is of great practical importance: for an LSI system the res...
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