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Global Curve Analysis via a Dimensionality Lifting Scheme

  • Gershon Elber
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3604)

Abstract

Freeform rational parametric curves and surfaces have been playing a major role in computer aided design for several decades. The ability to analyze local (differential) properties of parametric curves is well established and extensively exploited. In this work, we explore a different lifting approach to global analysis of freeform geometry, mostly curves, in IR 2 and IR 3. In this lifting scheme, we promote the problem into a higher dimension, where we find that in the higher dimension, the solution is simplified.

Keywords

Bottom Boundary Planar Curve Projection Direction Lift Scheme Local Visibility 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Gershon Elber
    • 1
  1. 1.Israel Institute of TechnologyTechnionHaifaIsrael

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