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G2 Blending Ball B-Spline Curve by B-Spline
Proceedings of the ACM on Computer Graphics and Interactive Techniques, 2023Blending 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 +3 more
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Extending Ball B-spline by B-spline
Computer Aided Geometric Design, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinyue Liu +4 more
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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 +2 more
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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 +2 more
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On the B-splines effective completeness
Computer Physics Communications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ARGENTI, LUCA, COLLE, RENATO
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IFAC Proceedings Volumes, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroyuki Kano +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroyuki Kano +3 more
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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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guozhao Wang, Qinyu Chen, Minghua Zhou
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THB-splines: The truncated basis for hierarchical splines [PDF]
Computer Aided Geometric Design, 2012 The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of unity.
Carlotta Giannelli +2 more
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Modeling with triangular B-splines
Proceedings on the second ACM symposium on Solid modeling and applications - SMA '93, 1993Triangular 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. +1 more
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On the condition of cubic B-splines
Journal of Approximation Theory, 2023B-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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