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|e rakwb
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|a eng
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|a Helbert, David
|e verfasserin
|4 aut
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|a 3-D discrete analytical ridgelet transform
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|c 2006
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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 04.01.2007
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|a Date Revised 26.10.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a In this paper, we propose an implementation of the 3-D Ridgelet transform: the 3-D discrete analytical Ridgelet transform (3-D DART). This transform uses the Fourier strategy for the computation of the associated 3-D discrete Radon transform. The innovative step is the definition of a discrete 3-D transform with the discrete analytical geometry theory by the construction of 3-D discrete analytical lines in the Fourier domain. We propose two types of 3-D discrete lines: 3-D discrete radial lines going through the origin defined from their orthogonal projections and 3-D planes covered with 2-D discrete line segments. These discrete analytical lines have a parameter called arithmetical thickness, allowing us to define a 3-D DART adapted to a specific application. Indeed, the 3-D DART representation is not orthogonal, It is associated with a flexible redundancy factor. The 3-D DART has a very simple forward/inverse algorithm that provides an exact reconstruction without any iterative method. In order to illustrate the potentiality of this new discrete transform, we apply the 3-D DART and its extension to the Local-DART (with smooth windowing) to the denoising of 3-D image and color video. These experimental results show that the simple thresholding of the 3-D DART coefficients is efficient
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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|a Carré, Philippe
|e verfasserin
|4 aut
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|a Andres, Eric
|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 1997
|g 15(2006), 12 vom: 20. Dez., Seite 3701-14
|w (DE-627)NLM09821456X
|x 1057-7149
|7 nnns
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| 773 |
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|g volume:15
|g year:2006
|g number:12
|g day:20
|g month:12
|g pages:3701-14
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|d 15
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|e 12
|b 20
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|h 3701-14
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