Results 241 to 250 of about 16,369,324 (285)
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1995
In this chapter we define nonrational B-spline curves and surfaces, study their properties, and derive expressions for their derivatives. For brevity we drop the word nonrational for the remainder of this chapter. The primary goal is to acquire an intuitive understanding of B-spline curves and surfaces, and to that end the reader should carefully study
Les Piegl, Wayne Tiller
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In this chapter we define nonrational B-spline curves and surfaces, study their properties, and derive expressions for their derivatives. For brevity we drop the word nonrational for the remainder of this chapter. The primary goal is to acquire an intuitive understanding of B-spline curves and surfaces, and to that end the reader should carefully study
Les Piegl, Wayne Tiller
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Developable rational Bézier and B-spline surfaces
Computer Aided Geometric Design, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Pottmann, Gerald E. Farin
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Semi-structured \(B\)-spline for blending two \(B\)-spline surfaces
Comput. Math. Appl., 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongwei Lin, Yunyang Xiong, Hongwei Liao
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1974
Publisher Summary An example of a highly successful computerized design system is Systeme UNISURF, which was developed by P.Bezier at Regie Renault. The essence of the success of Bezier's system is that it combines modern approximation theory and geometry in a way that provides the designer with computerized analogs of his conventional design and ...
William J. Gordon, Richard F. Riesenfeld
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Publisher Summary An example of a highly successful computerized design system is Systeme UNISURF, which was developed by P.Bezier at Regie Renault. The essence of the success of Bezier's system is that it combines modern approximation theory and geometry in a way that provides the designer with computerized analogs of his conventional design and ...
William J. Gordon, Richard F. Riesenfeld
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Approximating surfaces of revolution by nonrational B-splines
IEEE Computer Graphics and Applications, 2003We present a method to approximate surfaces of revolution with nonrational B-splines requiring a modest number of control points in the range of engineering tolerances.
Les A. Piegl, Wayne Tiller
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Generalized B-spline surfaces of arbitrary topology
ACM SIGGRAPH Computer Graphics, 1990B-spline surfaces, although widely used, are incapable of describing surfaces of arbitrary topology. It is not possible to model a general closed surface or a surface with handles as a single non-degenerate B-spline. In practice such surfaces are often needed.
Charles T. Loop, Tony DeRose
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Computer-Aided Design, 1981
Abstract This paper gives a definition for the convexity of B-spline surfaces and points out the conditions, on which the convexity depends. A back shift smoothing method is introduced. This method is built on the basis of the convexity conditions. Application of this smoothing method gives a strictly convex curve.
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Abstract This paper gives a definition for the convexity of B-spline surfaces and points out the conditions, on which the convexity depends. A back shift smoothing method is introduced. This method is built on the basis of the convexity conditions. Application of this smoothing method gives a strictly convex curve.
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B-spline surface fitting to mesh vertices
Science China Information Sciences, 2016创新点 通过拟合离散数据构造 B 样条曲面的方法在 CAD 领域中广泛应用。 本文提出一种使用层次化结构的多张 B 样条曲面拟合网格模型的方法。 对于较难使用一张 B 样条曲面进行拟合的网格模型,我们将其拆分为多张子网格,子网格组成层次化树状结构。然后对于每张子网格, 使用一张 B 样条曲面进行拟合。 本文算法对于一些经典的网格模型输入有较好的拟合结果。
Yang Lu 0005 +5 more
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Segmentation by Smoothing B-Spline Active Surface
2006 International Conference on Image Processing, 2006In this paper, a new active surface based segmentation algorithm is proposed. We detail the regularization process that is conducted through a smoothing B-spline filtering of the mesh point displacements. The corresponding segmentation algorithm is presented and applied on medical data.
Jérôme Velut +2 more
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Comparison between ANCF and B-spline surfaces
Multibody System Dynamics, 2013info:eu-repo/semantics ...
Mikkola, Aki +3 more
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