Approximation of surfaces by cylinders

CAD Computer Aided Design

Volumn 30, Issue 10, 1998, Pages 807-812

  Randrup, Thomas ^a,b  

^a Odense Steel Shipyard Ltd   (Denmark)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Approximation; Cylinder surfaces; Ship design

Indexed keywords

CYLINDERS (SHAPES); LEAST SQUARES APPROXIMATIONS; SHIPS; SURFACES;

SHIP DESIGN;

COMPUTER AIDED DESIGN;

EID: 0032156782     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(98)00038-4     Document Type: Article

References (15)

1. do Carmo, M.P., Differential Geometry of Curves and Surfaces, 1st edn. Prentice-Hall, Inc., 1976.
2. Eckhardt, U. and Maderlechner, G., Thinning of binary images. Hamburger Beiträge zur Angewandten Mathematik, Reihe B, Bericht 11, 1989.
3. Eckhardt, U. and Maderlechner, G., Invariant thinning. Int. J. of Pattern Recognition and Artificial Intelligence, 1993, 7(5), 1115-1144.
4. Farin, G.E., Curves and surfaces for computer aided geometric design - a practical guide. In Computer Science and Scientific Computing, 3rd edn. Academic Press, Inc., 1993.
5. Ferris, L.W., A standard series of developable surfaces. Marine Technology, 1968, 5(1), 52-62.
6. Frey, W.H. and Mancewicz, M.J., Developable Surfaces: Properties, Representations and Methods of Design. Technical report, GM Research Publication GMR-7637, 1992.
7. Hoschek, J. and Lasser, D., Fundamentals of Computer Aided Geometric Design. A.K. Peters, Wellesley, Massachusetts, 1993.
8. Hoschek, J. and Schneider, M., Interpolation and approximation with developable surfaces, In A. Le Méhauté, C. Rabut and L.L. Schumaker, eds, Proceedings of Chamonix 1996, Curves and Surfaces with Applications in CAGD, pp. 185-202. Vanderbilt University Press, 1997.
9. Lamb, T., Shell development computer aided lofting - is there a problem or not?. Journal of Ship Production, 1995, 11(1), 34-46.
10. Leonardis, A., Gupta, A. and Bajcsy, R., Segmentation of range images as a search for geometric parametric models. Int. J. of Computer Vision, 1995, 14, 253-277.
11. Piegl, L. and Tiller, W., The NURBS Book, 1st edn. Springer-Verlag, 1995.
12. Randrup, T., Design and engineering of double-curved ship surfaces. ECMI Newsletter, 1996, 20(October), 18-20.
13. Rosenfeld, A., Digital topology. American Mathematical Monthly, 1979, 86, 621-630.
14. Rousseeuw, P.J. and Leroy, A.M., Robust Regression and Outlier Detection. Wiley, New York, 1987.
15. Várady, T., Martin, R.R. and Cox, J., Reverse engineering of geometric models - an introduction. Computer-Aided Design, 1997, 29(4), 255-268.