Analysis-suitable adaptive T-mesh refinement with linear complexity [PDF]
, 2014 We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, this is, the linear independence of the T-spline blending functions.
Morgenstern, Philipp, Peterseim, Daniel
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Local and Global Approaches to Fracture Mechanics Using Isogeometric Analysis Method
Journal of Applied and Computational Mechanics, 2015 In the present research, implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics are investigated.
Abdolghafoor Khademalrasoul, Reza Naderi
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Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction [PDF]
, 2016 The equations that govern Kirchhoff–Love plate theory are solved using quadratic Powell–Sabin B-splines and unstructured standard T-splines. Bézier extraction is exploited to make the formulation computationally efficient.
Bazilevs +43 more
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Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes [PDF]
, 2019 The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeoemtric analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of tensor product B-spline spaces ...
Dokken, Tor, Patrizi, Francesco
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T-Spline Polygonal Complexes [PDF]
Proceedings of CAD'14, 2014 ABSTRACTThe notion of polygonal complexes was originally conceived as a means for exact interpolation of uniform B-spline curves by Doo-Sabin (and later on by Catmull-Clark) subdivision surfaces. Starting from the theoretical origin of these complexes, this paper provides a general formulation of this notion that covers all quad-based (uniform/non ...
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The Analysis of T-spline Fairness [PDF]
Computer-Aided Design and Applications, 2013 AbstractThe fairness of curves and surfaces has been used in the shape design of industrial products more and more widely. With the wide applications of T-splines in the surface modeling, this paper analyzes the fairness of T-splines and gives some fairness properties of standard T-splines and semi-standard T-splines.
Wang Aizeng, Zhao Gang
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The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement [PDF]
, 2015 We determine linear dependencies and the partition of unity property of T-spline meshes of arbitrary degree using the Bézier extraction operator. Local refinement strategies for standard, semi-standard and nonstandard T-splines – also by making use of ...
Bazilevs +20 more
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Comparison Between T-Spline Surface and NURBS Surface [PDF]
Engineering and Technology Journal, 2015 This research uses T-spline for surface modeling and compares it with NURBS modeling to get the best modeling points between the two methods. The comparison will be through surface analysis and manufacturing process.T-Splines surfaces typically have 50 ...
Laith Abdullah Mohammed +1 more
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APPROXIMATION BY LOCAL PARABOLIC SPLINES CONSTRUCTED ON THE BASIS OF INTERPOLATION IN THE MEAN
Ural Mathematical Journal, 2017 The paper deals with approximative and form-retaining properties of the local parabolic splines of the form \(S(x)=\sum\limits_j y_j B_2 (x-jh),\) \( (h>0),\) where \(B_2\) is a normalized parabolic spline with the uniform nodes and functionals \(y_j=y_j(
Elena V. Strelkova
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Unstructured spline spaces for isogeometric analysis based on spline manifolds
, 2015 Based on spline manifolds we introduce and study a mathematical framework for analysis-suitable unstructured B-spline spaces. In this setting the parameter domain has a manifold structure, which allows for the definition of function spaces that have a ...
Sangalli, Giancarlo +2 more
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