Results 221 to 230 of about 12,277,297 (302)
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Journal of Computational Mathematics, 2022
The present paper conjectures a topological condition which classifies a T-spline into standard, semi-standard and non-standard. We also provide the basic framework to prove the conjecture on the classification of semi-standard T-splines and give the proof for the semi-standard of bi-degree (1, $d$) and ($d$, 1) T-splines.
Li, Xin, Hong, Liangwei
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The present paper conjectures a topological condition which classifies a T-spline into standard, semi-standard and non-standard. We also provide the basic framework to prove the conjecture on the classification of semi-standard T-splines and give the proof for the semi-standard of bi-degree (1, $d$) and ($d$, 1) T-splines.
Li, Xin, Hong, Liangwei
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Conformal solid T-spline construction from boundary T-spline representations
Computational Mechanics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas J R Hughes +2 more
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FasTFit: A fast T-spline fitting algorithm
Computer-Aided Design, 2017Abstract T-spline has been recently developed to represent objects of arbitrary shapes using a smaller number of control points than the conventional NURBS or B-spline representations in computer aided design, computer graphics, and reverse engineering. However, existing methods for fitting a T-spline over a point cloud are slow.
Chen Feng 0002, Yuichi Taguchi
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On linear independence of T-spline blending functions
Computer Aided Geometric Design, 2012The authors study the linear independence of T-spline blending functions, a property required in the isogeometric analysis. The class of T-splines, for which no perpendicular T-node extensions intersect, is studied and in this purpose, first a technique to construct a matrix that maps a T-spline control point to a control point of an equivalent ...
Xin Li 0021 +4 more
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Volumetric T-spline construction using Boolean operations
Engineering with Computers, 2013In this paper, we present a novel algorithm for constructing a volumetric T-spline from B-reps inspired by constructive solid geometry Boolean operations. By solving a harmonic field with proper boundary conditions, the input surface is automatically decomposed into regions that are classified into two groups represented, topologically, by either a ...
Lei Liu 0010 +4 more
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Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry, 2011
T-splines are increasingly popular in design and animation. However, since it is not supported by VRML/X3D, T-spline visualization is not available for the use online. This paper proposes the T-spline VRML node, which allows the end users to utilize T-splines for complex model design and online visualization with relatively small number of control ...
Wenyu Chen 0002 +4 more
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T-splines are increasingly popular in design and animation. However, since it is not supported by VRML/X3D, T-spline visualization is not available for the use online. This paper proposes the T-spline VRML node, which allows the end users to utilize T-splines for complex model design and online visualization with relatively small number of control ...
Wenyu Chen 0002 +4 more
openaire +1 more source
Computer Aided Geometric Design, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmei Kang, Falai Chen, Jiansong Deng
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongmei Kang, Falai Chen, Jiansong Deng
openaire +2 more sources