Geodesic
Relation between algebraic and geometric view on NURBS tensor product surfaces
Applications of Mathematics, Tome 55 (2010) no. 5, pp. 419-430 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1007/s10492-010-0016-6
Classification : 41A15, 53A05, 65D17
Keywords: tensor product surface; bilinear form; B-spline; NURBS 
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     title = {Relation between algebraic and geometric view on {NURBS} tensor product surfaces},
     journal = {Applications of Mathematics},
     pages = {419--430},
     year = {2010},
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Martišek, Dalibor; Procházková, Jana. Relation between algebraic and geometric view on NURBS tensor product surfaces. Applications of Mathematics, Tome 55 (2010) no. 5, pp. 419-430. doi: 10.1007/s10492-010-0016-6

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