Spectral approximations to PDE surfaces

CAD Computer Aided Design

Volumn 28, Issue 2, 1996, Pages 145-152

  Bloor, Malcolm I G ^a   Wilson, Michael J ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Fourier transforms; Parametric surfaces; PDE surfaces; Real time

Indexed keywords

EID: 0001652094     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4485(95)00060-7     Document Type: Article

References (21)

1. Bloor, M I G and Wilson, M J 'Generating blend surfaces using partial differential equations' Comput. Aided. Des. Vol 21 No 3 (1989) pp 165-171
2. Hoschek, J and Lasser, D Fudamentals of Computer Aided Geometric Design A K Peters, Wellesley, MA (1993)
3. Lowe, T W, Bloor, M I G and Wilson, M J, 'The automatic design of hull surface geometries' J. Ship Res. Vol 38 No 4 (1994) pp 319-328
4. Dekanski, C, Bloor, M I G and Wilson, M J 'The representation of marine propeller blades using the PDE method' J. Ship Res. to appear (1995)
5. Bloor, M I G and Wilson, M J, 'Interactive design using partial differential equations' in Sapidis, N (Ed.) Designing Fair Curves and Surfaces SIAM, Philadelphia (1994) pp 231-251
6. Bloor, M I G and Wilson, M J 'Using partial differential equations to generate free-form surfaces' Comput.-Aided Des. Vol 22 (1990) pp 202-212
7. Vida, J, Martin, R R and Varady, T 'A survey of blending methods that use parametric surfaces' Comput.-Aided Des. Vol 26 No 5 (1994) pp 341-365
8. Brown, J M, Bloor, M I G, Bloor, M S and Wilson, M J, 'Generation and modification of non-uniform B-spline surface approximations to PDE surfaces using the finite-element method, in Ravani, B (Ed.) Advances in Design Automation Vol 1 Computer Aided and Computational Design ASME (1990) pp 265-272
9. Prenter, Splines and Variational Methods Wiley-Interscience, New York (1975)
10. Burden, R L and Faires, J D Numerical Analysis (3rd edn) Prindle, Weber and Schmidt, Boston (1981)
11. Ortega, J M and Poole, W G An Introduction to Numerical Methods for Differential Equations Academic Press, New York (1981)
12. Bloor, M I G and Wilson, M J 'Representing PDE surfaces in terms of B-splines' Comput.-Aided Des. Vol 22 (1990) pp 324-331
13. Gottleib, D and Ortega, S 'Numerical analysis of spectral methods: theory and applications' CBMS-NSF Regional Conf. Series in Applied Mathematics No. 26 SIAM, Philadelphia (1977)
14. Canuto, C, Hussaini, M Y, Quateroni, A and Zang, T Spectral Methods in Fluid Dynamics Springer, Berlin (1988)
15. Quateroni, A and Valli, A Numerical Approximations of Partial Differential Equations Springer Series in Computational Mathematics 23, Berlin (1994)
16. Lachance, M A 'Chebyschev errors for parametric surfaces' Comput. Aided Geom. Des. Vol 5 (1988) pp 195-208
17. Zauderer, E Partial Differential Equations of Applied Mathematics Wiley Interscience, New York (1983)
18. Elliot, D F and Rao, K R Fast Transforms Academic Press, New York (1982)
19. Bloor, M I G and Wilson, M J 'The efficient parametrization of generic aircraft geometries' J Aircraft, to appear (1995)
20. Kai, C C 'Three-dimensional rapid prototyping technologies and key development areas' Comput. Control Engng J. Vol 5 No 4 (1994) pp 200-206
21. Bloor, M I G and Wilson, M J 'Complex PDE surface generation for analysis and manufacture' Computing Vol 10 (1995) pp 61-77