Results 161 to 170 of about 9,704,991 (211)

G2 Blending Ball B-Spline Curve by B-Spline

Proceedings of the ACM on Computer Graphics and Interactive Techniques, 2023
Blending two Ball B-Spline Curves(BBSC) is an important tool in modeling tubular objects. In this paper, we propose a new BBSC blending method. Our method has the following three main contributions: First, we use BBSC instead of ball Bézier to model the blending part to expand the solution space and make the resultant BBSC have better fairness. Second,
Yuming Zhao, Zhongke Wu, Xingce Wang, Xinyue Liu   +3 more
openaire   +1 more source

Extending Ball B-spline by B-spline

Computer Aided Geometric Design, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinyue Liu, Xingce Wang, Zhongke Wu, Dan Zhang 0016, Xiangyuan Liu   +4 more
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Hermitian B‐Splines

Computer Graphics Forum, 1999
This paper proposes to study a spline model, called HB‐splines, that is in fact a B‐spline representation of Hermite splines, combined with some restriction on the differential values at segment boundaries. Although this model does not appear able to offer something new to the computer graphics community, we think that HB‐splines deserve to be ...
Laurent Grisoni, Carole Blanc, Christophe Schlick   +2 more
openaire   +1 more source

On the B-splines effective completeness

Computer Physics Communications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ARGENTI, LUCA, COLLE, RENATO
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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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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
openaire   +2 more sources

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
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +2 more sources