Finding Specified Sections of Arrangements

2D Results

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

    Arrangement
    Geometric object
    Configuration
    Target
    Line
    Motion
    Class

    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., ... 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

    Finding Specified Sections of Arrangements : 2D Results. / Bose, P.; Hurtado, F.; Meijer, H.; Ramaswami, S.; Rappaport, D.; Sacristán, V.; Shermer, T.; Toussaint, Godfried.

    In: Journal of Mathematical Modelling and Algorithms, Vol. 1, No. 1, 01.12.2002, p. 3-16.

    Research output: Contribution to journalArticle

    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, vol. 1, no. 1, pp. 3-16. https://doi.org/10.1023/A:1015648719133
    Bose P, Hurtado F, Meijer H, Ramaswami S, Rappaport D, Sacristán V et al. Finding Specified Sections of Arrangements: 2D Results. Journal of Mathematical Modelling and Algorithms. 2002 Dec 1;1(1):3-16. https://doi.org/10.1023/A:1015648719133
    Bose, P. ; Hurtado, F. ; Meijer, H. ; Ramaswami, S. ; Rappaport, D. ; Sacristán, V. ; Shermer, T. ; Toussaint, Godfried. / Finding Specified Sections of Arrangements : 2D Results. In: Journal of Mathematical Modelling and Algorithms. 2002 ; Vol. 1, No. 1. pp. 3-16.
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