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Equiareal parameterizations of NURBS surfaces

open access: yesGraphical Models, 2014
The equiareality of NURBS surfaces greatly affects the results of visualization and tessellation applications, especially when dealing with extruding and intruding shapes. To improve the equiareality of given NURBS surfaces, an optimization algorithm using the Mobius transformations is presented in this paper.
Yi-Jun Yang
exaly   +2 more sources
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Computing offsets of NURBS curves and surfaces

CAD Computer Aided Design, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Les A Piegl, Wayne Tiller
exaly   +2 more sources

Generalized NURBS curves and surfaces

Geometric Modeling and Processing, 2004. Proceedings, 2004
A representation, the generalized NURBS (G-NURBS), is proposed for modeling parametric curves and surfaces. G-NURBS provides a unified framework for traditional parametric curve and surface. G-NURBS surface based on arbitrary irregular mesh can represent closed surface or trimmed surface with only one surface patch.
Qing Wang 0042   +3 more
openaire   +1 more source

Surface approximations using generalized NURBS

Engineering with Computers, 2021
We 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
openaire   +1 more source

Tessellating trimmed nurbs surfaces

Computer-Aided Design, 1995
The 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.
openaire   +2 more sources

Computing offsets of trimmed NURBS surfaces

CAD Computer Aided Design, 2003
Offsetting of trimmed NURBS surfaces is one of the widely used functionalities in the design and manufacture simulations of composite laminates. This paper presents an approach for the offsetting of a trimmed NURBS surface. The approach has been developed mainly to meet the stringent accuracy requirements in the simulation of composite laminate design ...
B G Prakash
exaly   +2 more sources

Expressing Coons-Gordon surfaces as nurbs

Computer-Aided Design, 1994
The 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.
Fenqiang Lin, William T. Hewitt
openaire   +1 more source

Watermarking NURBS Surfaces

2005
The popularity of the worldwide web and the easy availability of the digital content has brought the security issues to the forefront. NURBS is widely used in computer-aided geometry design and computer graphics for its strong representative properties. In this paper, we present a blind watermarking algorithm for NURBS surfaces.
Zhigeng Pan   +3 more
openaire   +1 more source

Fast ray tracing NURBS surfaces

Journal of Computer Science and Technology, 1996
In 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
openaire   +1 more source

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