NURBS parameterization: a new method of parameterization using the correlation relationship between nodes

Authors:
Sawssen Jalel;Mohamed Naouai;Atef Hamouda;Malek Jebabli
Affiliations:
Faculty of Science of Tunis, Belvédaire-Tunisia Laboratory LIPAH, Tunis, France;Faculty of Science of Tunis, Belvédaire-Tunisia Laboratory LIPAH, Tunis, France;Faculty of Science of Tunis, Belvédaire-Tunisia Laboratory LIPAH, Tunis, France;Faculty of Science of Tunis, Belvédaire-Tunisia Laboratory LIPAH, Tunis, France
Venue:
MCPR'12 Proceedings of the 4th Mexican conference on Pattern Recognition
Year:
2012

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Abstract

NURBS (Non-uniform rational B-splines) has become the industry standard tools for the representation, design and data exchange of geometric information to be processed and used by computers because of their useful geometrical properties. The problem of the parameterization of data points in NURBS curve/surface has been considered by several of researchers. We propose in this paper a new parameterization method for NURBS approximation. The current methods of parameterization such as centripetal method uses only the previous knot vector to calculate the recent knot. In this paper, we give a new parameterization method based on the correlation of the nodes. This approach inherits the advantages of the relation and position of the knots.