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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, 1999Abstract 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
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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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TECHNO REVIEW. International Technology, Science and Society Review /Revista Internacional De Tecnología, Ciencia Y Sociedad, 2023
The increasing complexity in contemporary architectural design has given rise to free-form surfaces that cannot be solved by traditional design and construction methods. The study of the continuity of NURBS surfaces and curves becomes especially relevant, either to segment a complex surface in fragments that allow its rationalization, or for the design
Federico Del Blanco García +3 more
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The increasing complexity in contemporary architectural design has given rise to free-form surfaces that cannot be solved by traditional design and construction methods. The study of the continuity of NURBS surfaces and curves becomes especially relevant, either to segment a complex surface in fragments that allow its rationalization, or for the design
Federico Del Blanco García +3 more
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REPARAMETRIZATION OF NURBS CURVES
International Journal of Shape Modeling, 1996The 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\
Casciola, Giulio, Morigi, Serena
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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 +2 more
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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 +2 more
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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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Precision NURBS interpolator based on recursive characteristics of NURBS
The International Journal of Advanced Manufacturing Technology, 2012In 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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Computer Graphics Forum, 1994
AbstractAll animation, whether generated by pen or processor, is concerned with the changing behaviour of synthetic actors through time. Computer animation has allowed an animator to regard different actors as functionally equivalent entities for the purpose of generating their behaviours.
M. Preston, W. T. Hewitt
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AbstractAll animation, whether generated by pen or processor, is concerned with the changing behaviour of synthetic actors through time. Computer animation has allowed an animator to regard different actors as functionally equivalent entities for the purpose of generating their behaviours.
M. Preston, W. T. Hewitt
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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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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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