Results 221 to 230 of about 45,072 (266)

NUAT B-spline curves

Computer Aided Geometric Design, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guozhao Wang, Qinyu Chen, Minghua Zhou
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B-SPLINES AND CONTROL THEORY

IFAC Proceedings Volumes, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroyuki Kano, Magnus Egerstedt, Hiroaki Nakata, Clyde F. Martin   +3 more
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Modeling with triangular B-splines

Proceedings on the second ACM symposium on Solid modeling and applications - SMA '93, 1993
Triangular B-splines are a new tool for modeling complex objects with nonrectangular topology. The scheme is based on blending functions and control points, and lets us model piecewise polynomial surfaces of degree n that are C/sup n-1/-continuous throughout.
Greiner, G., Seidel, H. ; https://orcid.org/0000-0002-1343-8613   +1 more
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Integrating Products of B-Splines

SIAM Journal on Scientific and Statistical Computing, 1992
This 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, Richard H. Bartels, Glenn R. Heppler   +2 more
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B-Splines on the Circle and Trigonometric B-Splines

1984
We 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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Multiresolution B‐spline Radiosity

Computer Graphics Forum, 1995
AbstractThis 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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On the condition of cubic B-splines

Journal of Approximation Theory, 2023
B-Splines are the most attractive form of bases of polynomial splines spaces. Their advantages, among many others, are their compact support and positivity inside the support. They also form stable bases, and in this connection, their condition numbers are very important. In this paper, bounds on these condition numbers are provided.
Tom Lyche, Knut Mørken, Ulrich Reif
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As-developable-as-possible B-spline surface interpolation to B-spline curves

Computer Aided Geometric Design, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pengbo Bo, Yujian Zheng, Dianhui Chu, Caiming Zhang 0001   +3 more
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On Hermite interpolation with B-splines

Computer Aided Geometric Design, 1991
An explicit formula for the \(B\)-spline control points for Hermite interpolation is derived using polar forms. The same formula was obtained by \textit{M. S. Mummy} using the Boor-Fix dual functionals [ibid. 6, No. 2, 177-179 (1989; Zbl 0671.65007)].
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B-Splines

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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