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|a (DE-627)NLM15051025X
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|a (NLM)15376584
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Farid, Hany
|e verfasserin
|4 aut
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|a Differentiation of discrete multidimensional signals
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|c 2004
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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 12.10.2004
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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 We describe the design of finite-size linear-phase separable kernels for differentiation of discrete multidimensional signals. The problem is formulated as an optimization of the rotation-invariance of the gradient operator, which results in a simultaneous constraint on a set of one-dimensional low-pass prefilter and differentiator filters up to the desired order. We also develop extensions of this formulation to both higher dimensions and higher order directional derivatives. We develop a numerical procedure for optimizing the constraint, and demonstrate its use in constructing a set of example filters. The resulting filters are significantly more accurate than those commonly used in the image and multidimensional signal processing literature
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|a Comparative Study
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|a Evaluation Study
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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|a Research Support, U.S. Gov't, Non-P.H.S.
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|a Validation Study
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|a Simoncelli, Eero P
|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 13(2004), 4 vom: 10. Apr., Seite 496-508
|w (DE-627)NLM09821456X
|x 1941-0042
|7 nnns
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|g volume:13
|g year:2004
|g number:4
|g day:10
|g month:04
|g pages:496-508
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|a GBV_ILN_350
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|a AR
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|d 13
|j 2004
|e 4
|b 10
|c 04
|h 496-508
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