Results 121 to 130 of about 1,787 (182)

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
openaire   +1 more source

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

Symbolic Operators for NURBS

CAD Computer Aided Design, 1997
Symbolic operators for NURBS curves and surfaces are presented in this paper. The operators are used to compute NURBS entities by performing algebraic operations using NURBS curves and surfaces as variables. Dot and cross products, sum/difference and derivative operators are presented.
Les A. Piegl, Wayne Tiller
exaly   +3 more sources

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
openaire   +1 more source

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

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

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

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.
openaire   +2 more sources

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