Generic Parameterization of Bifurcating Structures

  • Malcolm I. G. Bloor
  • Michael J. Wilson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2768)


This paper shows how difficulties with singularities encountered in the geometry of bifurcating surfaces can be overcome and the shape parameterized efficiently enabling a designer to create and manipulate such geometries within an interactive environment.


Internal Combustion Engine Boundary Curve Generic Parameterization High Order Splitting Bifurcate Tube 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bloor, M.I.G., Wilson, M.J.: Spectral approximations to pde surfaces. CAD 28(2), 145–152 (1996)Google Scholar
  2. 2.
    Bloor, M.I.G., Wilson, M.J.: Method for efficient shape parameterization of fluid membranes and vesicles. Physical Review E 61(4), 4218–4229 (2000)CrossRefGoogle Scholar
  3. 3.
    Imam, M.H.: Three-dimensional shape optimisation. International Journal for Numerical Methods in Engineering 18, 661–673 (1982)zbMATHCrossRefGoogle Scholar
  4. 4.
    Mimis, A.P., Bloor, M.I.G., Wilson, M.J.: Shape parameterization and optimization of a two-stroke engine. Journal of Propulsion and Power 17(3), 492–498 (2001)CrossRefGoogle Scholar
  5. 5.
    Ugail, H., Robinson, M., Bloor, M.I.G., Wilson, M.J.: Interactive design of complex mechanical parts using a parametric representation. In: Cipolla, R., Martin, R. (eds.) The Mathematics of Surfaces IX: Proceedings of the Ninth IMA Conference on the Mathematics of Surfaces. IMA, vol. 4, pp. 169–179., Springer, Heidelberg (2000)Google Scholar
  6. 6.
    Ye, X., Cai, Y.-Y., Chui, C., Anderson, J.: Constructive modeling of g1. Computer Aided Geometric Design 19, 513–531 (2002)zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Malcolm I. G. Bloor
    • 1
  • Michael J. Wilson
    • 1
  1. 1.Department of Applied MathematicsThe University of LeedsUK

Personalised recommendations