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Adaptive Point Location of Parametric Curves

Abstract

We present an application based on the arrangement package for adaptive point location in arrangements of parametric curves satisfying given conditions.

Examples

Adaptive Point Location of Parametric Curves Adaptive Point Location of Parametric Curves Adaptive Point Location of Parametric Curves
An arrangement of 10 Bezier curves and its corresponding segment arrangement before and after the first point location. The curves of the located face are colored black
Adaptive Point Location of Parametric Curves Adaptive Point Location of Parametric Curves
Same as above, but for 50 bezier curves

Links

  • Iddo Hanniel and Dan Halperin
    Two-dimensional arrangements in CGAL and adaptive point location for parametric curves
    In Proceedings of the 4th International Workshop on Algorithm Engineering (WAE), Volume 1982 of LNCS, pages 171–182, Springer, Saarbrücken, 2000 [link] [bibtex]
  • Iddo Hanniel
    The Design and implementation of planar arrangements of curves in CGAL
    M.Sc. thesis [pdf] [bibtex]
  • Arrangement Project

Contacts

Iddo Hanniel
Dan Halperin
@masterthesis{h-dipac-00,
  author       = {Iddo Hanniel},
  title        = {The Design and Implementation of Planar Arrangements of Curves in \textsc{Cgal}},
  type         = {{M}.{S}c. Thesis},
  school       = {The Blavatnik School of Computer Science, Tel-Aviv University},
  year         = {2000}
}
@inproceedings{hh-tacap-00,
  author = {Iddo Hanniel and Dan Halperin},
  title = {Two-dimensional arrangements in \textsc{Cgal} and Adaptive Point Location for Parametric Curves},
  booktitle = {Proceedings of the 4th Workshop on Algorithm Engineering (WAE)},
  series = {Lecture Notes in Computer Science ({LNCS})},
  volume = {1982},
  publisher = {Springer},
  year = {2000},
  pages = {171--182},
  doi = {10.1007/3-540-44691-5_15}
}

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