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

In: Computational Methods for Algebraic Spline Surfaces

Author

Listed:
  • 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)

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.

Suggested Citation

  • Panagiotis Kaklis & Spyridon Dellas, 2005. "On the Shape Effect of a Control Point: Experimenting with NURBS Surfaces," Springer Books, in: Computational Methods for Algebraic Spline Surfaces, pages 183-192, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27157-4_13
    DOI: 10.1007/3-540-27157-0_13
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