Skip to main content

Curve and surface generation and fairing

  • Chapter
  • First Online:
Computer Aided Design Modelling, Systems Engineering, CAD-Systems

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 89))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S.H. Chasen, Geometric Principles and Procedures for Computer Graphic Applications, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1978.

    Google Scholar 

  2. D.F. Rogers, J.A. Adams, Mathematical Elements for Computer Graphics, McGraw-Hill Book Co., New York, 1976.

    Google Scholar 

  3. F. Theilheimer, W. Starkweather, “The Fairing of Ship Lines on a High-Speed Computer”, David Taylor Model Basin Rept. No. 1474, Bethesda, Maryland, 1961.

    Google Scholar 

  4. A.W. Overhauser, “Analytic Definition of Curves and Surfaces by Parabolic Blending”, Techn. Rept. No. SL 68-40, Ford Motor Co. Scient. Lab., 1968.

    Google Scholar 

  5. U.M. Waibel, “Procedures for Design and Manipulation of Surfaces in an Interactive Graphical Design System”, in German, Diploma Thesis, Institut für Datenverarbeitung, Techn. Univ. Wien, Vienna, 1979.

    Google Scholar 

  6. P. Bézier, Numerical Control, John Wiley & Sons, London-New York, 1972.

    Google Scholar 

  7. R.F. Riesenfeld, “Applications of B-Spline Approximation to Geometric Problems of Computer-Aided Design”, Rept. No. UTEC-CSC-73-126, Univ. of Utah, Comp. Science Dept., Salt Lake City, Utah, 1973.

    Google Scholar 

  8. I.J. Schoenberg, “Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions”, Quart. Appl. Math., vol.4, 1946, pp. 45–99 and 112–141.

    Google Scholar 

  9. C. de Boor, A Practical Guide to Splines, Springer Verlag, New York, 1978.

    Google Scholar 

  10. R.F. Riesenfeld, “Nonuniform B-Spline Curves”, Second USA-Japan Comp. Conf., 1975.

    Google Scholar 

  11. G. Creutz, “Curve and Surface Design from Form Parameters by Means of B-Splines”, in German, doctoral thesis, Techn. Univ. of Berlin, 1977.

    Google Scholar 

  12. G. Creutz, C. Schubert, “Interactive Curve Creation from Form Parameters by Means of B-Splines”, Schiffstechnik, vol. 25, pp. 121–140, Hamburg, 1978.

    Google Scholar 

  13. R.E. Barnhill, “Smooth Interpolation over Triangles”, Computer Aided Geometric Design, Barnhill and Riesenfeld, eds., Academic Press, 1974.

    Google Scholar 

  14. S.A. Coons, “Surfaces for Computer-Aided Design of Space Forms”, Project MAC-Rept. TR-41 Massachusetts Institute of Technology, 1967.

    Google Scholar 

  15. E. Mehlum, “A Curve-Fitting Method Based on a Variational Criterion”, Nordisk Tidskrift for Informations-Behandling, vol. 4, 1964.

    Google Scholar 

  16. L. Buczkowski, “Mathematical Construction, Approximation, and Design of the Ship Body Form”, Journal of Ship Research, vol. 13, 1969.

    Google Scholar 

  17. W. Breitung, “About the Processing of Empirical Shipbuilding Data within the Scope of an Integrated Electronic Data Processing System”, in German, Schiffstechnik, 1969.

    Google Scholar 

  18. W.J. Gordon, “Blending-Function Methods for Bivariate and Multivariate Interpolation and Approximation”, SIAM Journ. Numer. Anal., 1971.

    Google Scholar 

  19. G. M. Nielson, J.A. Wixom, “Approximation Theory Techniques for Curve and Surface Description”, Symp. on Comp.-Aided Hull Surface Definition, Society of Naval Arch. and Marine Eng., Annapolis, 1977.

    Google Scholar 

  20. W. J. Gordon, R.F. Riesenfeld, “B-Spline Curves and Surfaces”, Computer Aided Geometric Design, Barnhill and Riesenfeld, eds., Academic Press, 1974.

    Google Scholar 

  21. E. Mehlum, P.F. Sörensen, “Example of an Existing System in the Shipbuilding Industry: The AUTOKON System”, Proc. Roy. Soc. London, A 321 1971.

    Google Scholar 

  22. H. Söding, “The Fairing of Ship Lines by Digital Computer”, Hansa, 1967.

    Google Scholar 

  23. A.C. Massabo, Y. Moal, J. Stark, “An Introduction to SYSTRID. 1”, Batelle Geneva Research Centres, 1979.

    Google Scholar 

  24. N. Lidbro, “Analytic Form Definition of Ships”, in German, Schiffstechnik, 1961.

    Google Scholar 

  25. F.C. Munchmeyer, G.K.H. Lau, “On the Interactive Design of Smooth Patched Surfaces”, Proc. Int. Conf. on Interactive Techniques in Computer Aided Design, Bologna, 1978.

    Google Scholar 

  26. F.C. Munchmeyer, K.-P. Beier, “Designing Smooth Surfaces with DINAS”, Proc. Int. Conf. on Graphical Data Processing, Vienna, 1979.

    Google Scholar 

  27. F.C. Munchmeyer, “The Gaussian Curvature of Coons Biquintic Patches”, ASME Century 2 Int. Computer Technology Conf., August 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jose Encarnacao

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Nowacki, H. (1980). Curve and surface generation and fairing. In: Encarnacao, J. (eds) Computer Aided Design Modelling, Systems Engineering, CAD-Systems. Lecture Notes in Computer Science, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040160

Download citation

  • DOI: https://doi.org/10.1007/BFb0040160

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10242-7

  • Online ISBN: 978-3-540-38324-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics