Displaying similar documents to “Tubular NURB surfaces with boundary control.”

Development and Implementation of NURBS Models of Quadratic Curves and Surfaces

G. Petkov, Emiliyan (2009)

Serdica Journal of Computing

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This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled...

Relation between algebraic and geometric view on NURBS tensor product surfaces

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...