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Some Properties for Analysis-Suitable T-Splines

Journal of Computational Mathematics, 2015
Analysis-suitable $T$-splines (AS $T$-splines) are a mildly topological restricted subset of T-splines which are linear independent regardless of knot values [1–3]. The present paper provides some more iso-geometric analysis (IGA) oriented properties for AS $T$-splines and generalizes them to arbitrary topology AS $T$-splines.
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IsoGeometric analysis using T-splines on two-patch geometries

Computer Methods in Applied Mechanics and Engineering, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L Beirao da Veiga   +3 more
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FasTFit: A fast T-spline fitting algorithm

Computer-Aided Design, 2017
Abstract 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, Yuichi Taguchi
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Similarity maps and field-guided T-splines

ACM Transactions on Graphics, 2017
A variety of techniques were proposed to model smooth surfaces based on tensor product splines (e.g. subdivision surfaces, free-form splines, T-splines). Conversion of an input surface into such a representation is commonly achieved by constructing a global seamless parametrization, possibly aligned to a guiding cross-field (e.g. of principal curvature
Marcel Campen, Denis Zorin
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Isogeometric analysis based on T-splines

2015
This chapter provides an introduction to the use of T-splines in isogeometric analysis. A simple definition of two-dimensional T-splines is given and Bezier extraction is introduced. The basic details for implementation of T-splines as finite element shape functions are given. Two examples of integrated analysis and design based on commercial tools are
Derek C. Thomas, Michael A. Scott
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Free-form deformation with weighted T-spline

The Visual Computer, 2005
A new method of free-form deformation, w-TFFD, is proposed, for which an original shape is deformed using weighted T-spline volumes. We generalize T-splines to weighted T-spline volumes that also permit T-junctions. Weighted T-spline volumes are a natural generalization of NURBS volumes but permit more flexible control lattices. Thus, w-TFFD holds many
Wenhao Song, Xunnian Yang
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T-spline for Umbrella Modeling

The Proceedings of Design & Systems Conference, 2021
Ayame SUZUKI   +4 more
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On the Nesting Behavior of T-splines

2011
Abstract : We establish rigorously the fundamental nesting behavior of T-spline spaces in terms of the topology of the T-mesh. This provides a theoretical foundation for local refinement algorithms based on analysis-suitable T-splines and their use in isogeometric analysis. A key result is a dimension formula for smooth polynomial spline spaces defined
M. A. Scott, X. Li
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Periodic T-Splines and Tubular Surface Fitting

2012
This paper discusses a special type of T-spline surfaces called periodic T-splines that are closed in one parameter direction, and their application in tubular surface fitting. First, a global representation is proposed for representing periodic T-splines.
Jianmin Zheng, Yimin Wang
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Automatic reconstruction of T-spline surfaces

Journal of Image and Graphics, 2010
null pengxiaoxin, Tang Yuehong
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