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Finding Specified Sections of Arrangements: 2D Results

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Journal of Mathematical Modelling and Algorithms

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 SS such that the section SC is equivalent by rigid motion to the target T?’

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Bose, P., Hurtado, F., Meijer, H. et al. Finding Specified Sections of Arrangements: 2D Results. Journal of Mathematical Modelling and Algorithms 1, 3–16 (2002). https://doi.org/10.1023/A:1015648719133

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