How Objects Are Modelled

Chapter
First Online:

Abstract

This chapter explains the modelling techniques, a little bit about the history of modelling and a lot about Boundary Representation, the technique currently used in most solid modelling CAD systems.

Keywords

Boolean Operation Solid Modelling Boundary Representation Constructive Solid Geometry Euler Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

References

  1. 1.
    Kjellberg, T.A., Lindholm, G., Sorgen, A., Haglund, G.: GPM Report 10: GPM—Specifikation Volymgeometri. Department of Manufacturing Systems. KTH, Stockholm, Sweden. Confidential document, ISBN 91-85212-54-7 (1980)Google Scholar
  2. 2.
    Jared, G.E.M., Dodsworth, J.: Solid modelling. In: Rooney, J., Steadman, P. (eds.) Principles of Computer-aided Design. Pitman Publishing in association with the Open University, ISBN 0 273 02672 0 (1987)Google Scholar
  3. 3.
    Stroud, I.A.: Boundary Representation Modelling Techniques. Springer, Heidelberg (2006)MATHGoogle Scholar
  4. 4.
    Okino N., Kakazu Y., Kubo H.: TIPS-1: technical information processing system for computer-aided design, drawing and manufacturing. In: Proceedings of the Second PROLAMAT, vol. 73, pp. 141–150. (1973)Google Scholar
  5. 5.
    Requicha, A.A.G., Voelcker, H.B.: Constructive solid geometry. Technical Memo. No. 25, Production Automation Project, University of Rochester, NY (1977)Google Scholar
  6. 6.
    Katainen, A.: Monadic set operations. CAD J. 14(6), (1982)Google Scholar
  7. 7.
    Tilove, R.B., Requicha, A.A.G.: Closure of Boolean operations on geometric entities. Computer-Aided Des. 12(5), 219–220 (1980)CrossRefGoogle Scholar
  8. 8.
    Braid, I.C., Hillyard, R.C., Stroud, I.A.: Stepwise construction of polyhedra in geometric modelling, (1978). In: Brodlie, K.W. (ed.) Mathematical Methods in Computer Graphics and Design. Academic Press, London (1980)Google Scholar
  9. 9.
    Baumgart, B.G.: Geometric modelling for computer vision. AD/A-002 261, Stanford University (1974)Google Scholar
  10. 10.
    Eastman, C.M., Weiler, K.: Geometric modeling using the Euler operators. Research Report 78, Institute of Physical Planning, Carnegie-Mellon University (1979)Google Scholar
  11. 11.
    Mäntylä, M.: A note on the modeling space of euler operators. Comput. Vis. Graph. Imag. Process. 26, 45–60 (1984)CrossRefGoogle Scholar
  12. 12.
    Mäntylä, M.: An introduction to solid modeling. Computer Science Press, Maryland, ISBN 0-88175-108-1 (1988)Google Scholar
  13. 13.
    Luo, Y.: Solid modelling for regular objects renewed theory, data structure and Euler operators. Ph.D. Dissertation, Computer and Automation Institute (1991)Google Scholar
  14. 14.
    Giblin, P.J.: Graphs, Surfaces and Homology. Chapman and Hall, London, ISBN 0 412 21440 7 (1977)Google Scholar
  15. 15.
    Fjällström, P.-O.: Integration of Free-Form Surfaces and Solid Modelling. Ph.D. Dissertation, Department of Manufacturing Systems, PS-Lab, IVF/KTH, Stockholm, Sweden (1985)Google Scholar
  16. 16.
    Braid, I.C.: Notes on a geometric modeller. CAD Group Document 101, Cambridge University Computer Laboratory (1979)Google Scholar
  17. 17.
    Chiyokura, H., Kimura, F.: Design of solids with free-form surfaces. Comput. Graph. (SIGGRAPH 83 Proc.) 17, 289–298 (1983)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.STI-IPR-LICPEcole Polytechnique Federale de LausanneLausanneSwitzerland
  2. 2.LausanneSwitzerland

Personalised recommendations