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From NURBS to C-NURBS: II — C-NURBS Surfaces and C-Bezier Triangles

Volume 2: 19th Computers and Information in Engineering Conference, 1999
Abstract This paper develops c-NURBS surfaces and c-Bezier triangles. The projection from 6D homogenous space to 3D vector space developed in previous papers [12, 13] is applied to surfaces. As a result, a c-NURBS surface can be constructed using bicubic patches to interpolate the given control points with the de Boor-Cox algorithm ...
Manhong Wen, Kwun-Lon Ting
openaire   +1 more source

UTD computation for NURBS surfaces

2012 6th European Conference on Antennas and Propagation (EUCAP), 2012
One of the main problems in computing the UTD surface diffracted fields on surfaces described by Non-Uniform Rational B-splines (NURBS) is due to the difficulty in determining the geodesic paths the electromagnetic waves takes along the surface. In this paper we discuss some of the numerical algorithms that are used for computing surface diffraction on
Manushanker Balasubramanian   +2 more
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NURBS for Curve and Surface Design.

Mathematics of Computation, 1993
From the Publisher: NURBS (nonuniform rational B-splines) promises to be the future geometry standard for free-form curves and surfaces. This volume contains recent results and new NURBS techniques and developments--the most important being curve/surface from the CAD/CAM industry. The book has been carefully refereed.
Larry L. Schumaker, Gerald Farin
openaire   +2 more sources

3D NURBS representation of surfaces for illumination

SPIE Proceedings, 2002
Use of NURBS surfaces to create facets on a reflecting surface will be considered. Specifically, the design of a reflector that generates a circular illuminance pattern will be investigated. Important considerations are: choice of variables used to represent a NURBS surface, total number of variables, parameterization and/or knot vector specification ...
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Direct highlight line modification on nurbs surfaces

Computer Aided Geometric Design, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yifan Chen   +2 more
openaire   +2 more sources

NURBS hyper-surfaces for 3D topology optimization problems

Mechanics of Advanced Materials and Structures, 2021
Marco Montemurro, Jérôme Pailhès
exaly  

Area-Preserving Hierarchical NURBS Surfaces Computed by the Optimal Freeform Transformation

CAD Computer Aided Design, 2022
Li Xiaowei, Yi-Jun Yang, Gang Xu
exaly  

GPU-based trimming and tessellation of NURBS and T-Spline surfaces

ACM Transactions on Graphics, 2005
Reinhard Klein, Michael Guthe
exaly  

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