| Title: | On geometric Lagrange interpolation by quadratic parametric patches |
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| Authors: | ID Jaklič, Gašper (Author)
ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.cagd.2007.09.002
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly interpolated by a cubic patch. At least asymptotically, the existence of a quadratic geometric interpolant is confirmed for data taken on a parametric surface with locally nonzero Gaussian curvature and interpolation points based upon a three-pencil lattice. Also, the asymptotic approximation order 4 is established. |
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| Keywords: | numerična analiza, interpolacija, aproksimacija, parametrična ploskev, numerical analysis, interpolation, approximation, parametric surface |
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| Year of publishing: | 2008 |
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| Number of pages: | str. 373-384 |
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| Numbering: | Vol. 25, iss. 6 |
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| PID: | 20.500.12556/RUP-7726  |
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| ISSN: | 0167-8396 |
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| UDC: | 519.651 |
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| DOI: | 10.1016/j.cagd.2007.09.002 |
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| COBISS.SI-ID: | 14637657 |
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| Publication date in RUP: | 02.04.2017 |
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| Views: | 2461 |
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| Downloads: | 139 |
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