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Engineering with Computers

, Volume 9, Issue 4, pp 198–209 | Cite as

Low-degree approximation of high-degree B-spline surfaces

  • S. T. Tuohy
  • L. Bardis
Article

Abstract

In this paper, a method for approximate conversion of high degree Bezier and B-spline surfaces to lower degree representations is presented to facilitate the exchange of surface geometry between different geometric modeling systems. Building on previous work on curve approximation, the method uses adaptive sampling to compute approximation error and lofting of isoparametric curves to produce the approximating surface. In addition, a bound for the approximation accuracy is computed using convex hulls.

Keywords

Data exchange Surface approximation 

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Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • S. T. Tuohy
    • 1
  • L. Bardis
    • 2
  1. 1.Department of Ocean Engineering, Design LaboratoryMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Department of Naval Architecture and Marine EngineeringNational Technical University of AthensAthensGreece

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