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Curve and Surface Fitting by Means of Rational B-Spline Functions

[+] Author Affiliations
Antonio Carminelli, Giuseppe Catania

University of Bologna, Bologna, Italy

Paper No. IMECE2008-67422, pp. 95-100; 6 pages
doi:10.1115/IMECE2008-67422
From:
  • ASME 2008 International Mechanical Engineering Congress and Exposition
  • Volume 14: New Developments in Simulation Methods and Software for Engineering Applications
  • Boston, Massachusetts, USA, October 31–November 6, 2008
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4875-3 | eISBN: 978-0-7918-3840-2
  • Copyright © 2008 by ASME

abstract

This paper presents a method to obtain the mathematical model of a free-form curve or a surface fitting a set of point coordinates by a rational B-spline (NURBS) formulation in the homogeneous R 4 space. A method to evaluate the control points R 4 coordinates is proposed by means of a two step process. In the first step, NURBS weights are evaluated by means of an optimization procedure making it possible to evaluate the best fitting parameterization as well. In the second step, the control point coordinates are computed by means of a linear least squares approach.

Copyright © 2008 by ASME

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