On the Shape Effect of a Control Point: Experimenting with NURBS Surfaces

Panagiotis Kaklis and Spyridon Dellas ()
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Panagiotis Kaklis: National Technical University of Athens, Ship Design Laboratory, School of Naval Architecture & Marine Engineering
Spyridon Dellas: National Technical University of Athens, Ship Design Laboratory, School of Naval Architecture & Marine Engineering

A chapter in Computational Methods for Algebraic Spline Surfaces, 2005, pp 183-192 from Springer

Abstract: Abstract In this paper we further the theoretical investigation, initiated in [1], on the shape effect of a single control point, measured in terms of the sign of Gaussian and mean curvatures of the underlying parametric surface. The so far obtained theoretical results are illustrated by experimenting with three typical NURBS surfaces, namely a cylinder, an ellipsoid and a torus.

Keywords: Control Point; Convex Domain; Parametric Point; NURBS Surface; Hyperbolic Domain (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27157-4_13

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DOI: 10.1007/3-540-27157-0_13

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