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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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A NURBS Representation for Cyclides
1991Cyclides 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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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
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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
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An optimization of NURBS interpolation algorithm
IEEE 10th International Conference on Industrial Informatics, 2012I put forward a new interpolation called Adams-Bashforth interpolation of NURBS (Non-Uniform Rational B-Splines) curve in order to realize higher precision under the condition of satisfying the speed demand. IN this method, I calculated next parameter point by Adams-Bashforth equation and I used difference equation instead of derivation.
Jingmeng Liu +4 more
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DNurbs: DNA modeled with NURBS
Journal of Molecular Graphics, 1994DNurbs (dee-in-urbs) are a small number of bicubic patches wrapping each base pair in complementary DNA. NURBS, the nonuniform rational B-spline surfaces now popular in computer graphics, are employed for the patches. Control points for the surface patches are generated from the molecular surface based on canonical base pairs.
M, Carson, Z, Yang
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Biarc approximation of NURBS curves
Computer-Aided Design, 2002An algorithm for approximating arbitrary NURBS curves with biarcs is presented. The main idea is to approximate the NURBS curve with a polygon, and then to approximate the polygon with biarcs to within the required tolerance. The method uses a parametric formulation of biarcs appropriate in geometric design using parametric curves.
Les A. Piegl, Wayne Tiller
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Accurate parametrization of conics by NURBS
IEEE Computer Graphics and Applications, 1996One argument often given to explain the popularity of NURBS (nonuniform rational B-spline) is that it permits the definition of free-form curves and surfaces (as do most spline models). It also provides an exact representation of conic sections and thus of a large set of curves and surfaces used intensively in CAD: circular arcs, circles, cylinders ...
Carole Blanc, Christophe Schlick
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Generalized NURBS curves and surfaces
Geometric Modeling and Processing, 2004. Proceedings, 2004A 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
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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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Tessellation of trimmed NURB surfaces
Computer Aided Geometric Design, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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