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NURBS in VRML

Proceedings of the fifth symposium on Virtual reality modeling language (Web3D-VRML), 2000
In the days of VRML 1.0, NURBS seemed to be too complex to be adapted to the specification. Current development of hardware compels us to reevaluate this idea: While CPU clocks break the 1-GHz barrier, users still have to cope with 56K modems. NURBS meet exactly these demands.
Holger Grahn   +2 more
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NURBS Fusion

2008 International Conference on Computational Sciences and Its Applications, 2008
In this paper, we propose a new NURBS modeling technique, called NURBS fusion and present a complete algorithm for NURBS fusion. Working on a set of intersecting NURBS surfaces, NURBS fusion automatically eliminates the intersected parts and connects the remaining parts smoothly with auxiliary surfaces, so that a polysurface composed of multiple nicely
Xin Liu 0047   +2 more
openaire   +1 more source

REPARAMETRIZATION OF NURBS CURVES

International Journal of Shape Modeling, 1996
The authors note that it is difficult to work with arc length for parametrically given curves, in particular the rationality of the representation is lost for NURBS curves. Hence, they propose a reparametrization scheme that approximates parametrization by arc length \(\varphi(t)\) through a fractional linear transformation \(\psi(t)\) such that \(\psi\
Giulio Casciola, Serena Morigi
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From NURBS to C-NURBS: I — C-NURBS Curves and Their Properties

Volume 2: 19th Computers and Information in Engineering Conference, 1999
Abstract This paper develops a new free-form model, called c-NURBS, which is a general model of NURBS. A c-NURBS curve or surface is the projection of a 6D B-spline curve from a 6D homogeneous space H6 into a 3D space R3. The construction procedure of a c-NURBS curve or surface is that using cubic curves or bicubic patches repeatedly and
Manhong Wen, Kwun-Lon Ting
openaire   +1 more source

On NURBS: a survey

IEEE Computer Graphics and Applications, 1991
Nonuniform rational B-spline (NURBS) curves and surfaces, which are based on rational and B-splines, are defined. The important characteristics of NURBS that have contributed to their wide acceptance as standard tools for geometry representation and design are summarized.
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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
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Precision NURBS interpolator based on recursive characteristics of NURBS

The International Journal of Advanced Manufacturing Technology, 2012
In NURBS interpolation, real-time parameter update is an indispensable step which affects not only feedrate fluctuation but also contour error. Using Taylor approximation interpolation method to find the next interpolation point causes a large feedrate fluctuation due to the accumulation and truncation errors.
Dae Kyun Baek, Seung-Han Yang, Tae Jo Ko
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NURBS APPROXIMATION OF A-SPLINES AND A-PATCHES

International Journal of Computational Geometry & Applications, 2003
Given A-spline curves and A-patch surfaces that are implicitly defined on triangles and tetrahedra, we determine their NURBS representations. We provide a trimmed NURBS form for A-spline curves and a parametric tensor-product NURBS form for A-patch surfaces. We concentrate on cubic A-patches, providing a C1-continuous surface that interpolates a given
Chandrajit L. Bajaj   +3 more
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

A NURBS Representation for Cyclides

1991
Cyclides have attracted the interest of researchers in recent years. This family of surfaces includes all the surfaces conventionally used in computer aided design of mechanical parts. They have been found very useful in defining blends and support naturally a piecewise approach to surface design.
Xiaolin Zhou, Wolfgang Straßer
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