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The Use of a Tension Parameter in Surface Modeling

In: Numerical Techniques for Engineering Analysis and Design

Author

Listed:
  • Da-Pan Chen

    (National Chiao Tung University, Department of Mechanical Engineering)

  • Tser-Liang Lin

    (National Chiao Tung University, Department of Mechanical Engineering)

Abstract

In this paper, the Nu-spline surface is derived and used to model several complicated machine parts, A Nu-spline is essentially a conventional cubic spline with tension control. Tensions applied at the joints of the curve segments enable the curve to turn around sharp corners without undesirable oscillations. The Nu-spline surface thus can turn around sharp edges without undesirable effects. It is derived on the basis to satisfy the G2-continuity. Several restrictions are imposed to the surface to make it practicable.

Suggested Citation

  • Da-Pan Chen & Tser-Liang Lin, 1987. "The Use of a Tension Parameter in Surface Modeling," Springer Books, in: G. N. Pande & J. Middleton (ed.), Numerical Techniques for Engineering Analysis and Design, chapter 0, pages 579-586, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-3653-9_64
    DOI: 10.1007/978-94-009-3653-9_64
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