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A hybrid parameterization method for NURBS

Shamsuddin, Siti Mariyam and Ali Ahmed, Mahmoud (2004) A hybrid parameterization method for NURBS. In: Proceedings International Conference On Computer Graphics, Imaging And Visualization. International Conference on Computer Graphics Imaging and Visualization . IEEE, USA, pp. 15-20. ISBN 0769521789; 978-076952178-7

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Official URL: http://doi.ieeecomputersociety.org/10.1109/CGIV.20...


The problem of the parameterization of data points in NURBS curve/surface has been considered by amount of researchers. In this study, a new parameterization method considered as hybrid parameterization method is proposed. Like universal method, this method uses the property of "at each span index, there is exactly one maximum value of the rational B-spline basis function". By taking the maximum rational B-spline basis functions as initial values, the centripetal method is applied to generate the parameter values of hybrid parameterization. This approach inherits the advantages of universal and centripetal methods such as allowing having multiple knots value. The proposed method gives better object shaped relevant to the other methods. The results on two simple data sets for both curves and surfaces show that this method is capable of generating smooth and fair object shape.

Item Type:Book Section
Additional Information:ISBN: 0-7695-2178-9 ; International Conference on Computer Graphics, Imaging and Visualization (CGIV 2004), 26-29 Jul. 2004, Univ Sains Malaysia, Penang, Malaysia.
Uncontrolled Keywords:hybrid parameterization, NURBS curves, NURBS surface, surface interpolation, approximation theory, computer aided design, computer aided software engineering, data reduction, functions, identification (control systems), information analysis, interpolation, parameter estimation, problem solving, computer graphics
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:Computer Science and Information System
ID Code:9814
Deposited By: Zalinda Shuratman
Deposited On:29 Mar 2010 04:06
Last Modified:15 Aug 2017 04:15

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