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A Knowledge Representation Perspective on Geometric Modeling

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Geometric Modeling: Theory and Practice

Part of the book series: Focus on Computer Graphics ((FOCUS COMPUTER))

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Abstract

Geometric modeling is a very complicated matter in its own. But in many applications the real challenge is the integration of geometry with other kinds of information. That is especially true for geometric modeling and knowledge representation (KR). Feature concepts have been developed (at least in part) for this integration, but they are strongly related to current geometric modeling approaches. A deep, conceptual integration of knowledge representation and geometric modeling seems to be an open issue.

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References

  1. Bernardi, A., et al.: Feature Based Integration of CAD and CAPP, in: CAD-92, Hrsg. Krause, F.L. et al., Springer-Verlag, Berlin, 1992.

    Google Scholar 

  2. Brachman, R.J., and Levesque, H.J.: Readings in Knowledge Representation, Morgan Kaufman, 1985.

    Google Scholar 

  3. Cocquebert, E., et. al: State of the art and evolution of feature based modeling, Infi. J. of CADCAM and Computer Graphics 7/2, pp. 162–200, 1992.

    Google Scholar 

  4. Hoffmann, CM., Juan, R.: EREP — an Editable, High-Level Representation for Geometric Design and Analysis, Techn. Report, Purdue Univ., West Lafayette, 1994.

    Google Scholar 

  5. Gero, J. and Sudweeks, F. (eds.): Proc. of the workshop on formal design methods for computer-aided design, Tallinn, Estonia, 1995.

    Google Scholar 

  6. Hoffmann, CM.: Geometric and Solid Modeling: an Introduction, Morgan Kaufman, San Mateo, California, 1898.

    Google Scholar 

  7. Klein, R., Buchheit, M., and Nutt, W.: Configuration as Model Construction: the Constructive Problem Solving Approach, in: G. Gero and F. Sudweeks (eds.): Proc. Int’l. Conf AI in Design, Lausanne, 1994.

    Google Scholar 

  8. Klein, R.: G-Rep: Geometry and Feature Representation for an Integration with Knowledge Based Systems, Proc. of the IFIP 5.2 Workshop on Geomtric Modeling in CAD, Airlie, Virginia, May 1996, Chapman Hall Pubi., London, 1996 (to appear).

    Google Scholar 

  9. Klein, R.: Towards a logical basis of design: the GDeE approach, in: F. Brazier, T. Smithers, J. Treur (eds.): Proc. of the workshop on logic-based approaches to AI in design, San Francisco, June 1996.

    Google Scholar 

  10. Krause, F.L., Rieger, E., Ulbrich, A.: Feature Processing as Kernel for Integrated CAE Systems, IFIP Int’l. Conf., May 1994, Valenciennes.

    Google Scholar 

  11. Kripac, J.: A Mechanism for Persistently Naming Topological Entities in History Based Parametric Solid Models, in: Hoffmann, CM., Rossignac, J. (Hrsg.): Proc. 3rd Symposium on Solid Modeling and Applictions, Salt Lake City, 1995.

    Google Scholar 

  12. Mäntylä, M.: An Introduction to Solid Modeling, Computer Science Press, College Park, Maryland, 1988.

    Google Scholar 

  13. Owen, J.C.: Algebraic Solution for Geometryfrom Dimensional Constraints, Proc. ACM Solid Modeling Conference, Austin, Texas, 1991.

    Google Scholar 

  14. Rappoport, A.: Geometric Modeling: a new fundamental framework and its practical implications, in: Chr. Hoffmann, J. Rossignac (eds.): Proc. of the 3rd Symposium on Solid Modeling and its Applications, Salt Lake City, 1995.

    Google Scholar 

  15. Requicha, A.: Representationd for rigid solids: theory, methods, and systems, ACM Computing Surveys 12:437–464, 1980.

    Article  Google Scholar 

  16. Rieger, E.: Semantikorientierte Features zur kontinuierlichen UnterstĂ¼tzung der Produktgestaltung, Hanser Verlag, MĂ¼nchen, 1995.

    Google Scholar 

  17. Shah, J.J.: Assessment of feature technology, J. for Computer Aided Design 23(93), 331–343.

    Google Scholar 

  18. Salomons, O.W., van Houten, F.J.A.M., Kais, H.J.J.: Review of Research in Feature Based Design, Journal of Manufacturing Systems, 12/2, pp. 113–132, 1993.

    Article  Google Scholar 

  19. Shoham, Y.: A semantical approach to non-monotonic logics, Proc. of the Int’l. Conference on Artificial Intelligence IJCAI, Milano, Italy, 1978.

    Google Scholar 

  20. Shah, J.J., Mäntylä, M., Nau, D.S.: Advances in Feature Based Manufacturing, Elsevier Pubi., Amsterdam, 1994.

    Google Scholar 

  21. Baader, F. et al.: Concept Logics, in: Loyd, J.W. (ed.): Computational Logic, Springer Verlag, Berlin, 1990.

    Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Klein, R. (1997). A Knowledge Representation Perspective on Geometric Modeling. In: Strasser, W., Klein, R., Rau, R. (eds) Geometric Modeling: Theory and Practice. Focus on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60607-6_12

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  • DOI: https://doi.org/10.1007/978-3-642-60607-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61883-6

  • Online ISBN: 978-3-642-60607-6

  • eBook Packages: Springer Book Archive

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