T-splines and T-NURCCs

By Thomas W. Sederberg, Jianmin Zheng, A. Bakenov, A. Nasri. ACM Transactions on Graphics, 2003

987 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/55b1b502ce17642b518808bbff33ef268f07d831

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. Timon Rabczuk
3. Stéphane P.A. Bordas
4. Michael A. Scott
5. Dominik Schillinger
6. Alessandro Reali
7. Hung Nguyen-Xuan
8. John A. Evans

In Computer Graphics and Computer-Aided Design

1. Thomas J. R. Hughes
2. Timon Rabczuk
3. Michael A. Scott
4. Dominik Schillinger
5. Stéphane P.A. Bordas
6. Yuri Bazilevs
7. Giancarlo Sangalli
8. Ming-Chen Hsu

Citations in the corpus

• Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “Utilisation of T-splines in an IGA framework has been illustrated in [8, 39], and by adopting a Bézier extraction process, Scott et al.[116] showed that T-splines can be incorporated efficiently into existing FE codes.”
• A hierarchical approach to adaptive local refinement in isogeometric analysis (2011, background): “However, the need to overcome certain limitations of T–splines, in particular with respect to the linear dependence of T–spline blending functions corresponding to particular T–meshes [11] and to the locality of the refinement [9], requires further investigations for the identification of geometric ”
• Efficient quadrature for NURBS-based isogeometric analysis (2010, methodology): “As isogeometric analysis encompasses more comple x eshing structures, such as T-splines (see [20] and [9]), and variable order and v ariable continuity”
• 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.”
• Polynomial splines over hierarchical T-meshes (2008, methodology): “Sederberg [20] put forward the problem on how to construct polynomial T-splines.”
• Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials (2015, methodology): “In the present paper, we employ both NURBS and T-splines discretizations.”
• IsoGeometric Analysis: Stable elements for the 2D Stokes equation (2011, methodology): “This is done by using T-splines, a generalization of B-splines that overcome the tensor-product structure (see [22, 23]).”