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 journalArticle

Abstract

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
Volume1
Issue number1
DOIs
StatePublished - Dec 1 2002

    Fingerprint

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

Cite this

Bose, P., Hurtado, F., Meijer, H., Ramaswami, S., Rappaport, D., Sacristán, V., Shermer, T., & Toussaint, G. (2002). Finding Specified Sections of Arrangements: 2D Results. Journal of Mathematical Modelling and Algorithms, 1(1), 3-16. https://doi.org/10.1023/A:1015648719133