Finding Specified Sections of Arrangements: 2D Results

Given a configuration C of geometric objects in R^sup 2^ (called the input configuration), a target configuration T of geometric objects in R^sup 1^, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line SS such that the...

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Published inJournal of mathematical modelling and algorithms Vol. 1; no. 1; pp. 3 - 16
Main Authors Bose, P, Hurtado, F, Meijer, H, Ramaswami, S, Rappaport, D, Sacristán, V, Shermer, T, Toussaint, G
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.03.2002
Subjects
Algorithms
Equivalence
Geometry
Mathematical models
Modelling
Positioning
Studies
Two dimensional
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Summary:Given a configuration C of geometric objects in R^sup 2^ (called the input configuration), a target configuration T of geometric objects in R^sup 1^, and a class S of allowable sectioning lines we consider in this paper many variations on the following problem: 'Is there a line SS such that the section SC is equivalent by rigid motion to the target T?'[PUBLICATION ABSTRACT]
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:2214-2487
1570-1166
2214-2495
1572-9214
DOI:10.1023/A:1015648719133