Note on certain remarkable types of curves, surfaces and hyper-surfaces
Hari das Bagchi, Biswarup Mukherji (1952)
Rendiconti del Seminario Matematico della Università di Padova
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Hari das Bagchi, Biswarup Mukherji (1952)
Rendiconti del Seminario Matematico della Università di Padova
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Ivo Vrkoč (1961)
Czechoslovak Mathematical Journal
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Szilvási-Nagy, M. (1995)
Mathematica Pannonica
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J. Carter, Masahico Saito (1998)
Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...
C. E. Weatherburn (1930)
Journal de Mathématiques Pures et Appliquées
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Dalibor Martišek, Jana Procházková (2010)
Applications of Mathematics
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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...
Ulmet, Dan-Eugen (2004)
International Journal of Mathematics and Mathematical Sciences
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