Geometry and mesh generation for high fidelity computational simulations using non-uniform rational B-splines

Applied Numerical Mathematics

Volumn 55, Issue 3, 2005, Pages 368-381

  Shih, Alan M ^a   Yu, Tzu Yi ^b   Gopalsamy, Sankarappan ^a   Ito, Yasushi ^a   Soni, Bharat ^a  

^a UNIVERSITY OF ALABAMA AT BIRMINGHAM   (United States)

^b NATIONAL CHI NAN UNIVERSITY   (Taiwan)

Author keywords

CAD; CAGD; CFS; Dynamic NURBS; Geometry; Mesh; Mesh adaptation; NURBS; Topology

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER AIDED DESIGN; GEOMETRY; RELIABILITY; SURFACE TREATMENT;

CAGD; CFS; DYNAMIC NURBS; MESH ADAPTATION; NON-UNIFORM RATIONAL B-SPLINES (NURBS);

COMPUTER SIMULATION;

EID: 24644513084     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2005.04.036     Document Type: Conference Paper

References (17)

1. G. Celniker, W. Welch, Linear constraints for deformable B-spline surfaces, in: Proceedings of Symposium on Interactive 3D Graphics, 1992, pp. 165-170
2. M.G. Cox The numerical evaluation of B-splines J. Instit. Math. Appl. 10 1972 134 149
3. J. Cugini Interactive conformance testing for PHIGS F.H. Post W. Barth Eurographics '91 1991 Elsevier Science New York
4. J. Cugini, M.T. Gunn, and L.S. Rosenthal PHIGS Validation Tests (Version 1.0): Design Issues NIST Special Publication vol. 500-181 1990 National Institute of Standards and Technology Gaithersburg, MD
5. C. deBoor On calculating with B-splines J. Approx. Theory 6 1972 50 62
6. G.E. Farin Curves and Surfaces for CAGD: A Practical Guide fifth ed. 2001 Morgan Kaufmann Los Altos, CA
7. S.J. Kemmerer STEP, the Grand Experience NIST Special Publication vol. 939 1999 National Institute of Standards and Technology Gaithersburg, MD
8. R.N. Nagel, W.W. Braithwaite, P.R. Kennicott, Initial Graphics Exchange Specification IGES, Version 1.0, NBSIR 80-1978, National Bureau of Standards, Washington, DC, 1980
9. L.A. Piegl, and W. Tiller The NURBS Book second ed. 1996 Springer Berlin
10. H. Qin, and D. Terzopoulos Dynamic NURBS with geometric constraints for interactive sculpting ACM Trans. Graphics 13 2 1994 103 136 special issue on Interactive Sculpting
11. H. Qin, and D. Terzopoulos D-NURBS: A physics-based framework for geometric design IEEE Trans. Visualization Comput. Graphics 2 1 1996 85 96
12. M.H. Shih, T.Y. Yu, and B.K. Soni Interactive grid generation and NURBS applications J. Appl. Math. Comput. 65 1994 279 294
13. B. Smith, R.N. Nagel, and J. Wellington IGES - initial graphics exchange specification Autofact III: Conference Proceedings, November 9-12, 1981, Detroit, MI 1981 Society of Manufacturing Engineers Dearborn, MI
14. STEP: International Standard ISO 10303-42, Industrial automation systems and integration - Product data representation and exchange - Part 42: Integrated generic resource: Geometric and topological representation, International Organization for Standardization (ISO), Reference Number ISO10303-42: 1994(E), first edition 1994-12-15, 1997
15. D. Terzopoulos, and K. Fleischer Deformable models Visual Comput. 4 6 1988 306 331
16. J.F. Thompson, Z.U.A. Warsi, and C.W. Mastin Numerical Grid Generation: Foundations and Applications 1985 North-Holland Amsterdam
17. T.-Y. Yu, CAGD Techniques in Grid Generation, Dissertation, Mississippi State University, December 1995