Results 271 to 280 of about 9,653,321 (312)
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Integrating Products of B-Splines
SIAM Journal on Scientific and Statistical Computing, 1992This paper outlines several ways to evaluate the integral of the product of two \(B\)-spline functions. Integrals of these forms arise in applications such as the finite element method and least squares function fitting when \(B\)-splines are used as basis functions. The splines may be of different orders and defined on different knot sequences.
Alan H. Vermeulen +2 more
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Multiresolution B‐spline Radiosity
Computer Graphics Forum, 1995AbstractThis paper introduces a kind of new wavelet radiosity method called multiresolution B‐spline radiosity, which uses B‐splines of different scales to represent radiosity distribution functions. A set of techniques and algorithms, such as function extrapolation, adaptive quadrature, scale adjustment and octree, are proposed to implement it.
Yizhou Yu, Qunsheng Peng 0001
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As-developable-as-possible B-spline surface interpolation to B-spline curves
Computer Aided Geometric Design, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pengbo Bo +3 more
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B-Splines on the Circle and Trigonometric B-Splines
1984We shall first introduce the notion of circle splines. Denote by Πn the space of polynomials of degree at most n on the unit circle U = {z € (ℂ: |z| = 1}.
T. N. T. Goodman, S. L. Lee
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Hierarchical B-spline refinement
Proceedings of the 15th annual conference on Computer graphics and interactive techniques, 1988Refinement is usually advocated as a means of gaining finer control over a spline curve or surface during editing. For curves, refinement is a local process. It permits the change of control vertices and subsequent editing of the detail in one region of the curve while leaving control vertices in other regions unaffected.
David R. Forsey, Richard H. Bartels
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WIREs Computational Statistics, 2010
AbstractB‐splines are a family of smooth curves that can be constructed to interpolate or approximate a set of control points. They are used extensively for curve and surface design in engineering and media applications. Their popularity comes from the fact that they offer a simple and intuitive means of adjusting the shape of a curve or surface ...
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AbstractB‐splines are a family of smooth curves that can be constructed to interpolate or approximate a set of control points. They are used extensively for curve and surface design in engineering and media applications. Their popularity comes from the fact that they offer a simple and intuitive means of adjusting the shape of a curve or surface ...
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Energy and B-spline interproximation
Computer-Aided Design, 1997In this paper, we study B-spline curve interproximation with different energy forms and parametrization techniques, and present an interproximation scheme for B-spline surfaces. It shows that the energy form has a much bigger impact on the generated curve than the parametrization technique.
Xuefu Wang, Fuhua Cheng, Brian A. Barsky
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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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2009 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2009
Active contour model(or'snake') is efficient in object contour extraction. It is widely applied in many fields, such as human facial feature extraction, segmenation of medical images, vedio object segmentation, 3D reconstruction, and so on. The implementation of GVF into the B Spline snake is specified, the resulting GVF B spline snake, retains the ...
Wang Xin, Tu Yunxia
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Active contour model(or'snake') is efficient in object contour extraction. It is widely applied in many fields, such as human facial feature extraction, segmenation of medical images, vedio object segmentation, 3D reconstruction, and so on. The implementation of GVF into the B Spline snake is specified, the resulting GVF B spline snake, retains the ...
Wang Xin, Tu Yunxia
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Extended Cubic Uniform B-spline and α-B-spline
Acta Automatica Sinica, 2008Abstract Spline curve and surface play an important role in CAD and computer graphics. In this paper, we propose several extensions of cubic uniform B-spline. Then, we present the extensions of interpolating α-B-spline based on the new B-splines and the singular blending technique.
Gang XU, Guo-Zhao WANG
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