Converting an unstructured quadrilateral/hexahedral mesh to a rational T-spline

Computational Mechanics

Volumn 50, Issue 1, 2012, Pages 65-84

  Wang, Wenyan ^a   Zhang, Yongjie ^a   Xu, Guoliang ^b   Hughes, Thomas J R ^c  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b CHINESE ACADEMY OF SCIENCES   (China)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

B zier extraction; Hexahedral mesh; Isogeometric analysis; Linear independence; Quadrilateral mesh; Rational T spline; Solid T spline

Indexed keywords

EXTRACTION; MESH GENERATION; RATIONAL FUNCTIONS; TOPOLOGY;

HEXAHEDRAL MESH; ISOGEOMETRIC ANALYSIS; LINEAR INDEPENDENCE; QUADRILATERAL MESHES; RATIONAL T SPLINES; SOLID T SPLINES;

INTERPOLATION;

EID: 84862556182     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-011-0674-6     Document Type: Article

References (16)

1. Y Bazilevs VM Calo JA Cottrell JA Evans TJR Hughes S Lipton MA Scott TW Sederberg 2010 Isogeometric analysis using T-splines Comput Methods Appl Mech Eng 199 5-8 229 263 2576759 1227.74123 10.1016/j.cma.2009.02.036
2. MJ Borden MA Scott JA Evans TJR Hughes 2011 Isogeometric finite element data structures based on Bézier extraction of NURBS Int J Numer Methods Eng 87 15 47 2839463 10.1002/nme.2968
3. Goldman R, Lyche T (1993) Knot insertion and deletion algorithms for B-spline curves and surfaces. Society for Industrial and Applied Mathematics, Philadelphia
4. TJR Hughes JA Cottrell Y Bazilevs 2005 Isogeometric analysis: CAD, finite elements, NURBS, exact geometry, and mesh refinement Comput Methods Appl Mech Eng 194 4135 4195 2152382 1151.74419 10.1016/j.cma.2004.10.008 (Pubitemid 40875970)
5. Li W (2006) Automatic mesh to spline surface conversion. PhD thesis, Institut National Polytechnique de Lorraine, France
6. Li W, Ray N, Lévy B (2006) Automatic and interactive mesh to T-spline conversion. In Proceedings of the Fourth Eurographics Symposium on Geometry Processing, pp 191-200
7. X Li J Zheng TW Sederberg TJR Hughes MA Scott 2012 On linear independence of T-spline blending functions Comput Aided Geom Des 29 1 63 76 2871362 06044886 10.1016/j.cagd.2011.08.005
8. Piegl LA, Tiller W (1997) The NURBS book (monographs in visual communication), 2nd ed. Springer-Verlag, New York
9. Qian J, Zhang Y (2010) Sharp feature preservation in octree-based all-hexahedral mesh generation for CAD assembly models. In 19th International Meshing Roundtable, pp 243-62
10. MA Scott MJ Borden CV Verhoosel TW Sederberg TJR Hughes 2011 Isogeometric finite element data structures based on Bézier extraction of T-splines Int J Numer Methods Eng 87 15 47 2835748 10.1002/nme.2968
11. Scott MA, Li X, Sederberg TW, Hughes TJR (2011) Local refinement of analysis-suitable T-splines. Comput Methods Appl Mech Eng. doi: 10.1016/j.cma.2011.11.022
12. Sederberg TW, Cardon DL, Finnigan GT, North NS, Zheng J, Lyche T (2004) T-spline simplification and local refinement. In ACM SIGGRAPH 2004, pp 276-283
13. TW Sederberg J Zheng A Bakenov A Nasri 2003 T-splines and T-NURCCs ACM Transac Graph 22 3 477 484 10.1145/882262.882295
14. Wang H, He Y, Li X, Gu X, Qin H (2007) Polycube splines. In Symposium on Solid and Physical Modeling, pp 241-251 (Pubitemid 47582488)
15. W Wang Y Zhang MA Scott TJR Hughes 2010 Converting an unstructured quadrilateral mesh to a standard T-spline surface Comput Mech 48 4 477 498 2841876 10.1007/s00466-011-0598-1
16. Y Zhang TJR Hughes CL Bajaj 2010 An automatic 3D mesh generation method for domains with multiple materials Comput Methods Appl Mech Eng 199 5-8 405 415 1227.74129 10.1016/j.cma.2009.06.007