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|e rakwb
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|a eng
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| 100 |
1 |
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|a Van De Ville, Dimitri
|e verfasserin
|4 aut
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| 245 |
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|a Complex wavelet bases, steerability, and the marr-like pyramid
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|c 2008
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| 336 |
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Completed 09.12.2008
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|a Date Revised 27.10.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a Our aim in this paper is to tighten the link between wavelets, some classical image-processing operators, and David Marr's theory of early vision. The cornerstone of our approach is a new complex wavelet basis that behaves like a smoothed version of the Gradient-Laplace operator. Starting from first principles, we show that a single-generator wavelet can be defined analytically and that it yields a semi-orthogonal complex basis of L2 (R2), irrespective of the dilation matrix used. We also provide an efficient FFT-based filterbank implementation. We then propose a slightly redundant version of the transform that is nearly translation-invariant and that is optimized for better steerability (Gaussian-like smoothing kernel).We call it the Marr-like wavelet pyramid because it essentially replicates the processing steps in Marr's theory of early vision.We use it to derive a primal wavelet sketch which is a compact description of the image by a multiscale, subsampled edge map. Finally, we provide an efficient iterative algorithm for the reconstruction of an image from its primal wavelet sketch
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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| 700 |
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|a Unser, Michael
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 17(2008), 11 vom: 15. Nov., Seite 2063-80
|w (DE-627)NLM09821456X
|x 1057-7149
|7 nnns
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|g volume:17
|g year:2008
|g number:11
|g day:15
|g month:11
|g pages:2063-80
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