Finding Specified Sections of Arrangements: 2D Results

P. Bose, F. Hurtado, H. Meijer, S. Ramaswami, D. Rappaport, V. Sacristán, T. Shermer, G. Toussaint

Research output: Contribution to journalArticlepeer-review


Given a configuration C of geometric objects in R 2 (called the input configuration), a target configuration T of geometric objects in R 1, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line S∈S such that the section S∩C is equivalent by rigid motion to the target T?'

Original languageEnglish (US)
Pages (from-to)3-16
Number of pages14
JournalJournal of Mathematical Modelling and Algorithms
Issue number1
StatePublished - 2002


  • morphology
  • probe
  • projection
  • recognition
  • section
  • stereology
  • tomography

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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