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Polygon smoothing nurbs curves and surfaces

Li, Qingde



In conventional spline geometric shape design, each part of a designed object always evolves the same number of con trol points. This has been a disadvantage of the spline based geometric shape design schemes as much more points than necessary may be required to specify a shape. In this paper, NURBS are generalized into Polygon Smoothing NURBS (PS-NURBS) by introducing a new set of shape parameters into conventional spline basis functions. The newly intro duced parameters provide additional facilities for the free form geometric object design. The most significant fea ture of this newly proposed spline scheme is that the num ber of control points used for different parts of a geomet ric shape can be varied according to design requirements. With this technique, a geometric shape can be designed to approximate the specified control polygon or control mesh smoothly with any required precision. Compared with con ventional NURBS, the proposed technique allows the de signers to produce a much richer set of geometric shapes with a relatively smaller set of control points.


Li, Q. (2005). Polygon smoothing nurbs curves and surfaces. In Proceeding. Applied Simulation and Modelling (ASM 2005) (109 - 114)

Conference Name Applied Simulation and Modelling (ASM 2005)
Conference Location Benalmádena, Spain
Start Date Jun 15, 2005
End Date Jun 17, 2005
Acceptance Date Dec 31, 2005
Publication Date Dec 31, 2005
Journal Proceedings of the 14th IASTED International Conference on Applied Simulation and Modelling
Publisher ACTA Press
Peer Reviewed Peer Reviewed
Pages 109 - 114
Series ISSN 1925-8003
Book Title Proceeding. Applied Simulation and Modelling (ASM 2005)
ISBN 0-88986-467-5
Keywords CAGD; NURBS; Shape parameters; Tension control; Polygon smoothing
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