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|a (DE-627)NLM169393011
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|a (NLM)17405426
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|a DE-627
|b ger
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|e rakwb
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|a eng
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|a Lu, Yue M
|e verfasserin
|4 aut
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|a Multidimensional directional filter banks and surfacelets
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|c 2007
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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 24.04.2007
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|a Date Revised 10.12.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a In 1992, Bamberger and Smith proposed the directional filter bank (DFB) for an efficient directional decomposition of 2-D signals. Due to the nonseparable nature of the system, extending the DFB to higher dimensions while still retaining its attractive features is a challenging and previously unsolved problem. We propose a new family of filter banks, named NDFB, that can achieve the directional decomposition of arbitrary N-dimensional (N > or =2) signals with a simple and efficient tree-structured construction. In 3-D, the ideal passbands of the proposed NDFB are rectangular-based pyramids radiating out from the origin at different orientations and tiling the entire frequency space. The proposed NDFB achieves perfect reconstruction via an iterated filter bank with a redundancy factor of N in N-D. The angular resolution of the proposed NDFB can be iteratively refined by invoking more levels of decomposition through a simple expansion rule. By combining the NDFB with a new multiscale pyramid, we propose the surfacelet transform, which can be used to efficiently capture and represent surface-like singularities in multidimensional data
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|a Evaluation Study
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|a Journal Article
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|a Research Support, U.S. Gov't, Non-P.H.S.
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|a Do, Minh N
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 16(2007), 4 vom: 19. Apr., Seite 918-31
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|x 1941-0042
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|g volume:16
|g year:2007
|g number:4
|g day:19
|g month:04
|g pages:918-31
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|d 16
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