Covering with Ellipses1

نویسندگان

  • Alon Efrat
  • Frank Hoffmann
  • Christian Knauer
  • Klaus Kriegel
  • Günter Rote
  • Carola Wenk
چکیده

We address the problem of how to cover a set of required points by a small number of axis-parallel ellipses that avoid a second set of forbidden points. We study geometric properties of such covers and present an efficient randomized approximation algorithm for the cover construction. This question is motivated by a special pattern recognition task where one has to identify ellipse-shaped protein spots in two-dimensional electrophoresis images.

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تاریخ انتشار 2003