Relation between algebraic and geometric view on NURBS tensor product surfaces
Applications of Mathematics, Tome 55 (2010) no. 5, pp. 419-430.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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
@article{10_1007_s10492_010_0016_6,
     author = {Marti\v{s}ek, Dalibor and Proch\'azkov\'a, Jana},
     title = {Relation between algebraic and geometric view on {NURBS} tensor product surfaces},
     journal = {Applications of Mathematics},
     pages = {419--430},
     publisher = {mathdoc},
     volume = {55},
     number = {5},
     year = {2010},
     doi = {10.1007/s10492-010-0016-6},
     mrnumber = {2737721},
     zbl = {1224.53007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0016-6/}
}
TY  - JOUR
AU  - Martišek, Dalibor
AU  - Procházková, Jana
TI  - Relation between algebraic and geometric view on NURBS tensor product surfaces
JO  - Applications of Mathematics
PY  - 2010
SP  - 419
EP  - 430
VL  - 55
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0016-6/
DO  - 10.1007/s10492-010-0016-6
LA  - en
ID  - 10_1007_s10492_010_0016_6
ER  - 
%0 Journal Article
%A Martišek, Dalibor
%A Procházková, Jana
%T Relation between algebraic and geometric view on NURBS tensor product surfaces
%J Applications of Mathematics
%D 2010
%P 419-430
%V 55
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0016-6/
%R 10.1007/s10492-010-0016-6
%G en
%F 10_1007_s10492_010_0016_6
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. http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0016-6/

Cité par Sources :