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Dual Space Drawing Methods of Cylinders

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Book cover Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2667))

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Abstract

Ruled surface design and its applications are widely used in CAGD (Computer Aid Geometric Design) and industrial areas. The cylinder is a particular ruled surface. Its drawing methods lay the foundation for drawing other ruled surfaces, such as cones, with dual space drawing methods. In this paper, new methods are introduced for drawing cylinders. The underlying principle of these methods is the application and extension (variation) of the dual De Casteljau algorithm [11]. Based on this, a comprehensive study is carried out for the creation of cylinders. The dual De Casteljau algorithm is adjusted by adding boundary conditions to draw cylinders with smooth closed trajectories. The dual space drawing methods of the circular cylinder with boundary conditions and segment construction are also discussed.

The Author Acknowledges A/Prof. Douglas Iannucci at the University of the Virgin Islands for assistance with proof reading.

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References

  1. Carmo, M (1976). Differential geometry of curves and surfaces. Prentice-Hall, Inc. Englewood Cliffs, New Jersey.

    MATH  Google Scholar 

  2. Ding, Rena (2002). Drawing ruled surfaces using the dual De Boor algorithm. Proceedings of Computing: The Australasian Theory Symposium CATS 2002. Elsevier Science B.V.

    Google Scholar 

  3. Ding, Yulin (2000). Dual Drawing Methods for Ruled Surfaces of Particular Shapes. Master Thesis. Basser department of computer science, The university of Sydney.

    Google Scholar 

  4. Farin, G. (1988). Curves and surfaces for computer aided geometric design: A practical guide. Academic Press, Inc., Boston, Mass.

    MATH  Google Scholar 

  5. Hill, F.S. Jr. (1990). Computer graphics. Macmillan Publishing Company, New York.

    Google Scholar 

  6. Juttler, B. (1998). Rotation minimizing spherical motions. Advances in Robot Kinematics: Analysis and Control. PP.413–422 Kluwer Academic Publishers.

    Google Scholar 

  7. McCarthy, J. M. (1990). Introduction to theoretical kinematics. MIT Press, Cambridge, Massachusetts.

    Google Scholar 

  8. Parkin, I.A. (1997). Unifying the geometry of finite displacement screws and orthogonal matrix transformations. Mech. Mach. Theory 32(8) pp. 975–991.

    Article  Google Scholar 

  9. Piegl, L., and Tiller, W.(1987). Curve and surface constructions using rational G-splines. Computer Aided Design, 19(9):485–98, 1987.

    Article  MATH  Google Scholar 

  10. Pottmann, H., Wallner, J.(2001):Computational Line Geometry. Springer-Verlag, Berlin u.a. ISBN 3-540-42058-4, 565pp.264figs.,17 in color.

    MATH  Google Scholar 

  11. Sprott, K. and Ravani, B. (1997) Ruled surfaces, Lie groups, and mesh generation. 1997 ASME Engineering Technical Conferences, Sep. 14–17, 1997, Sacramento, California, USA

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Computing & Information Technology, University of Western Sydney, Kingswood, N.S.W., 1797, Australia

    Rena Ding

Authors
  1. Rena Ding
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

  5. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  6. The Queen’s University of Belfast, School of Computer Science, Belfast BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

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© 2003 Springer-Verlag Berlin Heidelberg

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Ding, R. (2003). Dual Space Drawing Methods of Cylinders. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44839-X_37

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  • DOI: https://doi.org/10.1007/3-540-44839-X_37

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40155-1

  • Online ISBN: 978-3-540-44839-6

  • eBook Packages: Springer Book Archive

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