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|e rakwb
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|a eng
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|a Park, Sung W
|e verfasserin
|4 aut
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|a Discrete Sibson interpolation
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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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|b nc
|2 rdacarrier
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|a Date Completed 29.03.2006
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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 Natural-neighbor interpolation methods, such as Sibson's method, are well-known schemes for multivariate data fitting and reconstruction. Despite its many desirable properties, Sibson's method is computationally expensive and difficult to implement, especially when applied to higher-dimensional data. The main reason for both problems is the method's implementation based on a Voronoi diagram of all data points. We describe a discrete approach to evaluating Sibson's interpolant on a regular grid, based solely on finding nearest neighbors and rendering and blending d-dimensional spheres. Our approach does not require us to construct an explicit Voronoi diagram, is easily implemented using commodity three-dimensional graphics hardware, leads to a significant speed increase compared to traditional approaches, and generalizes easily to higher dimensions. For large scattered data sets, we achieve two-dimensional (2D) interpolation at interactive rates and 3D interpolation (3D) with computation times of a few seconds
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|a Evaluation Study
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|a Journal Article
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|a Research Support, N.I.H., Extramural
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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 Linsen, Lars
|e verfasserin
|4 aut
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| 700 |
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|a Kreylos, Oliver
|e verfasserin
|4 aut
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| 700 |
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|a Owens, John D
|e verfasserin
|4 aut
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| 700 |
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|a Hamann, Bernd
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on visualization and computer graphics
|d 1996
|g 12(2006), 2 vom: 06. März, Seite 243-53
|w (DE-627)NLM098269445
|x 1941-0506
|7 nnns
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| 773 |
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|g volume:12
|g year:2006
|g number:2
|g day:06
|g month:03
|g pages:243-53
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|d 12
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|e 2
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|h 243-53
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