deconvolution-22apr10-150dpi-med

deconvolution-22apr10-150dpi-med - Computational...

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Computational photography techniques based on deconvolution Marc Levoy Computer Science Department Stanford University CS 178, Spring 2010 not responsible on exam for this “sidebar” lecture
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! Marc Levoy Removing camera shake ! Can you fx a blurry image by sharpening it in Photoshop? 2 simulated blurry image
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! Marc Levoy ! Can you fx a blurry image by sharpening it in Photoshop? Removing camera shake 3 Photoshop Unsharp Mask
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! Marc Levoy ! Can you fx a blurry image by sharpening it in Photoshop? Removing camera shake 4 more Unsharp Mask
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! Marc Levoy Removing camera shake, 2 nd try ! camera shake can be modeled as a 2D convolution ! recall that discrete convolution replaces each pixel with a linear combination of nearby pixels ! matrix-vector multiplication replaces each element in a vector with a linear combination of all other elements 5 ! =
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! Marc Levoy Convolution as matrix multiplication ! let the sharp scene be represented by a vector ! let the flter kernel be represented as a second vector ! the convolution becomes the matrix-vector product 6 f = 4 7 8 4 2 5 9 6 8 4 2 [ ] g = 1 2 3 2 1 [ ] where x = f T f ! g and A is built from g as shown Ax = 3 2 1 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 1 2
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This document was uploaded on 12/06/2011.

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deconvolution-22apr10-150dpi-med - Computational...

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