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NURBS Approximation of Surface/Surface Intersection Curves
Bajaj, Chandrajit L., Xu, Gualiang
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Optimization of the grid-stiffened structure via PSO-LSSVR surrogate modeling and sensitivity analysis. [PDF]
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Tessellating trimmed nurbs surfaces
Computer-Aided Design, 1995The problem addressed by the authors is triangulation of a surface given by rational tensor splines over a single parameter patch but with arbitrary holes and boundary curves. The simplicial approximation is required to stay within an \(\varepsilon\) distance from the surface in space.
Piegl, Leslie A., Richard, Arnaud M.
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Surface approximations using generalized NURBS
Engineering with Computers, 2021We extend the concept of generalized NURBS (GNURBS), recently introduced by the authors for parametric curves, to bivariate parametric surfaces. These generalizations are obtained via either explicit or implicit decoupling of the weights along different physical coordinates.
Alireza H. Taheri, Krishnan Suresh
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Expressing Coons-Gordon surfaces as nurbs
Computer-Aided Design, 1994The authors combine the techniques of the well-known Boolean-sum approach to Gordon/Coons surfaces with that of the \(B\)-spline representation of curves and surfaces; what comes out is a quite nice method for the \(B\)- spline-representation (linear and to some extend rational) of Gordon/Coons surfaces.
Lin, Fenqiang, Hewitt, W. T.
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Fast ray tracing NURBS surfaces
Journal of Computer Science and Technology, 1996In this paper, a new algorithm with extrapolation process for computing the ray/surface intersection is presented. Also, a ray is defined to be the intersection of two planes, which are non-orthogonal in general, in such a way that the number of multiplication operations is reduced.
Kaihuai Qin, Minglun Gong, Geliang Tong
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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, 1999Abstract 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
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