Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/164360.164374acmconferencesArticle/Chapter ViewAbstractPublication PagesspmConference Proceedingsconference-collections
Article
Free access

An introduction to constructive shell representations for free-form surfaces and solids

Published: 01 June 1993 Publication History
  • Get Citation Alerts
  • First page of PDF

    References

    [1]
    Bajaj, C., and ~m, I., "Algebraic surface design with Hermite interpolation", ACM Transactions on Graphics, voL 11, no. I, pp. 61-91, January 1992.
    [2]
    Bajaj, C., and Ibm, I., "Smoothing polyhedra using implicit algebraic splines", Computer Graphics (SIGGRAPH ~32), vol. 26, no. 2, pp. 79-88, July 1992.
    [3]
    Chan, K-C, "Solid modelling of parts with quadric and free-from surfaces", Ph.D. Dissertation, Department of Mechanical Engineering, Univemity of Hong Kong, November 1987.
    [4]
    Dahmen, W., "Smooth piecewise quadric surfaces", Mathematical Methods in CAGD, eds. T. Lyche and L. Schumaker, Academic Press Inc., pp. 181-193, 1989.
    [5]
    Dahmen, W., "Modeling and visualization with implicit surfaces", Oberwolfach meeting on Curves and Surfaces in Computer Aided Geometric Design, Oberwotfach, June 1992.
    [6]
    Dunnington, D. R., Saia, A., and de Pennington, A., "Constructive solid geometry with sculptured primitives using inner and outer sets", Theory and Practice of Geometric Modeling, eds~ W. Straber and H. P. Seidel, Springer-Verlag, pp. 127-142, 1989.
    [7]
    Ellis J'. L., Kedem, G., Lyedy, T. C., Thielman, D. G., Marisa, R. I., Menon, J. P., and Voelcker H. B., "The RlyCasting Engine and ray representations: a technical sumnmry", International Journal of Computational Geometry and Applications, voL 1, no. 4, pp. 347-380, December 1991.
    [8]
    Farin, G, Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, Academic Press, Inc., San Diego, California, 1988.
    [9]
    Guo, B., "Modeling arbitrary smooth objects with algebraic surfaces", Ph.D. Dissertation, Department of Computer Science, Comell University, hhaca, NY, Jume 1991.
    [10]
    Guo, B., "Nonsplitting macro patches for cubic spline surfaces", Computer Science, University of Colorado, December 1992 (in draft).
    [11]
    l-lartshome, R., AIIlebral~ Geometry, Springer-Vedag, New York, 1977.
    [12]
    Hoffmann, C., and Hopcxoft, J., "Quadratic blending surfaces", Computer Aided Geomewic Design, voL 18, no. fi, pp. 301-306, 1986.
    [13]
    Lodha, S., and Warren, J., "Bezier representation for qtmdric surface patches", Computer-Aided Design, voL 22, no. 9, pp. 574-579, November 1990.
    [14]
    Menen, J. P., "Constructive shell representations for free-fonn surfaces and solids", Ph.D. Dissertation, The Sibley School of Medumical and Aerospace Engineering, Comell University, Ithaca, NY, August 1992.
    [15]
    Miller, J. R., "Architectural issues in solid modelers", IEEE Computer Grap~u'cs and Applications, vol. 9, no. 5, pp. 72-87, September 1989.
    [16]
    Menon, J. P., Marisa, R. J., and Zagajac, J., "More powerful solid modeling through ray representations", Tech. Report CPA92-4, Sibley School of Mechanical Engineering, Comell University, Ithaca, NY, April 1992.
    [17]
    Menon, J. P., and Robinson, D. M., "High perfomumce NC verification via massively parallel mycasting: extensions to new phenomena and geometric domaim", Proc. Symposium on Concurrent Engineering, 1992 ASME Winter Annual Meeting, Anaheim, California, pp. 179-194, Nov. 8-13, 1992.
    [18]
    Patrikalakis, N. M., and Kriezis, G. A., "Representations of piecewise continuous algebraic surfaces in terms of B-splines", The Visual Computer, voL 5, pp. 360-374, 1989.
    [19]
    Requicha, A. A. G., "Mathematical models of rigid solid objects", Tech. Memo 28, Production Atgomaticn Project, University of Rochester, November 1977. (Available from CPA, Mechanical Engineering, Comell University, Ithaca, NY.)
    [20]
    Requicha, A. A. G., "Representations for rigid solids: theory, methods and systems", ACM Computing Surveys, voL 12, no. 4, pp. 437-464, December 1980.
    [21]
    Requicha, A. A. G., and Tilove, R. B., "Mathematical foundatiom of constructive solid geometry: general topology of dosed regular sets", Tech. Memo 27a, Preduction Automation Project, University of Roahmter, June 1978. (Available from CPA, Mechanical Engineerin8. Comell University, Ithaca, NY.)
    [22]
    Requicha, A. A. G., and Voelcker, H. B., "Boolean operations in solid modeling: boundary evaiuation and boundary merging", Proc. of the IEEE, vol. 73, no. 1, pp. 30-44, January 1985.
    [23]
    Sederberg, T. W., "Piecewise algebraic surface patc, h~", Computer Aided Geometric Design, voL 2, pp. 53-59,1985.
    [24]
    Sederberg, T. W., "Techniques for cubic algebraic surfaces: Tutorial part two", IEE.E Computer Graphics and Applications, vol. 10, no. 5, pp. 12-21, September 1990.
    [25]
    Sedetaoerg, T. W., and Snively, J. P., "Parametrization of cubic algebraic surfaces", The MalhemaUcs ot Surfaces H, ed. R. R. Martin, Clarendon Press, Oxford, pp. 299-319, 1987.
    [26]
    Shapiro, V., and Voulor, D. L, "Construction and optimization of CSG representations", Computer.Aided Design, vol. 23, no. 1, pp. 4-19, Jan/Feb 1991.
    [27]
    Shapiro, V., and Vossler, D. L., "Efficient CSG representations of twodimensional solids", ASME Journal of Mechanical Design, vol. i 13, pp. 292- 305, September 1991.
    [28]
    Shapiro, V., and Vossler, D. L., "B-rep --~ CSG conversion Ill: boundarybased separation", Tech. Report CPA91-5, Sibley School of Mechanical Engineering, Cometl University, Ithaca, NY, July 1991.
    [29]
    Tilove, R. B., "Set membership classifw.ation: a unified approach to geometric in~ problems", IEEE Transacriona on Compsaers, vol. C-29, no. 20, pp. 874-883, October 1980.
    [30]
    Voelcker, H. B., "New directions in solid modeling'/", Proc. International Conference on Manufacturing Automation, ed. N. W. M. Ko and S. T. Tan, University of Hong Kong, pp. 157-168, August 1992.
    [31]
    Warren, J., "Blending algebraic surfaces", ACM Transactions on Graphics, voL 8, no. 4, pp. 263-278, 1989.

    Cited By

    View all
    • (1995)What is a parametric family of solids?Proceedings of the third ACM symposium on Solid modeling and applications10.1145/218013.218029(43-54)Online publication date: 1-Dec-1995
    • (1994)More Powerful Solid Modeling Through Ray RepresentationsIEEE Computer Graphics and Applications10.1109/38.27903914:3(22-35)Online publication date: 1-May-1994

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    SMA '93: Proceedings on the second ACM symposium on Solid modeling and applications
    June 1993
    498 pages
    ISBN:0897915844
    DOI:10.1145/164360
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 June 1993

    Permissions

    Request permissions for this article.

    Check for updates

    Qualifiers

    • Article

    Conference

    SMF93
    Sponsor:

    Acceptance Rates

    Overall Acceptance Rate 86 of 173 submissions, 50%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)13
    • Downloads (Last 6 weeks)3
    Reflects downloads up to

    Other Metrics

    Citations

    Cited By

    View all
    • (1995)What is a parametric family of solids?Proceedings of the third ACM symposium on Solid modeling and applications10.1145/218013.218029(43-54)Online publication date: 1-Dec-1995
    • (1994)More Powerful Solid Modeling Through Ray RepresentationsIEEE Computer Graphics and Applications10.1109/38.27903914:3(22-35)Online publication date: 1-May-1994

    View Options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media