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13

CAGD
2005

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On geometric interpolation of parametric surfaces

13 years 4 months ago

On geometric interpolation of parametric surfaces

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By exploiting the freedom in the choice of parametrization of a parametric surface, we show that there exist quadratic parametric surfaces that approximate a given parametric surface with the same approximation order as cubics, namely four, in the neighbourhood of a point where the Gaussian curvature of the surface is nonzero. This provides a first generalization to surfaces of earlier work for curves. 2005 Elsevier B.V. All rights reserved.

Knut Mørken

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Approximation Order | CAGD 2005 | Gaussian Curvature | Parametric Surface |

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Added	15 Dec 2010
Updated	15 Dec 2010
Type	Journal
Year	2005
Where	CAGD
Authors	Knut Mørken

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