T-spline simplification and local refinement

By Thomas W. Sederberg, David L. Cardon, G. T. Finnigan, Nicholas S. North, Jianmin Zheng, T. Lyche. ACM Transactions on Graphics, 2004

564 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/691b69eff532e897318ed1b79c727cbdd56d164e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Thomas J. R. Hughes
2. Stéphane P.A. Bordas
3. Michael A. Scott
4. Alessandro Reali
5. Yuri Bazilevs
6. Giancarlo Sangalli
7. John A. Evans
8. Timon Rabczuk

In Computer Graphics and Computer-Aided Design

1. Thomas J. R. Hughes
2. Michael A. Scott
3. Yuri Bazilevs
4. Stéphane P.A. Bordas
5. Wolfgang Dornisch
6. Giancarlo Sangalli
7. Thomas W. Sederberg
8. Ming-Chen Hsu

In Computer Vision and Pattern Recognition

1. Thomas J. R. Hughes
2. Michael A. Scott
3. Yuri Bazilevs
4. Stéphane P.A. Bordas
5. Chandrajit L. Bajaj
6. Trond Kvamsdal
7. Yongjie Jessica Zhang
8. Alessandro Reali

Citations in the corpus

• A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM (2010, unknown): “They permit local refinement [35] and can model geometry of arbitrary topological genus.”
• Isogeometric boundary-element analysis for the wave-resistance problem using T-splines (2014, unknown): “(2004) [31], Bazilevs et al.”
• An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy (2020, methodology): “CAD technologies like Non-Uniform Rational B-splines (NURBS) [24], subdivision surfaces [25], and T-splines [26, 27] make it possible to define smooth higher-order basis functions over both structured and unstructured meshes.”
• Isogeometric boundary element analysis using unstructured T-splines (2013, background): “Unlike NURBS, Tsplines can be locally refined [42, 43].”
• THB-splines: The truncated basis for hierarchical splines (2012, background): “T–splines [17, 18] and PHT–splines [2] are defined over T–meshes, where T–junctions between axis aligned segments are allowed.”
• Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines (2015, methodology): “Several techniques have been proposed to address this, among others are T-splines [36, 35], Hierarchical B-splines [21, 26], Truncated Hierarchical Bsplines [22] and Locally Refined (LR) B-splines [15].”
• Conformal solid T-spline construction from boundary T-spline representations (2013, methodology): “Finally, we calculate the knot vectors for each node and construct trivariate solid T-splines.”
• Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow (2007, methodology): “Local adaptive refinement is important to capture surface features, but it only works for piecewise linear elements and T-splines may be required to construct high order elements.”