Relation between algebraic and geometric view on nurbs tensor product surfaces

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 su...

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Bibliographic Details
Published in:Applications of mathematics (Prague) 2010-10, Vol.55 (5), p.419-430
Main Authors: Martisek, Dalibor, Procházková, Jana
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Approximation
Classical and Continuum Physics
Computer graphics
Euclidean space
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Modelling
Optimization
Studies
Tensors
Theoretical
Topological manifolds
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Summary: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.
ISSN:0862-7940
1572-9109
DOI:10.1007/s10492-010-0016-6