Abstract
NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS.
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This work was supported by the project of MSMT of the Czech Republic No. 1M06047 Centre for Quality and Reliability of Production.
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Martišek, D., Procházková, J. Relation between algebraic and geometric view on nurbs tensor product surfaces. Appl Math 55, 419–430 (2010). https://doi.org/10.1007/s10492-010-0016-6
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DOI: https://doi.org/10.1007/s10492-010-0016-6