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Controlled perturbation of sets of line segments in \(\mathbb R^2\) with smart processing order

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Publication:543787
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DOI10.1016/j.comgeo.2010.12.002zbMath1233.65022OpenAlexW2072599172MaRDI QIDQ543787

Eli Packer

Publication date: 17 June 2011

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2010.12.002

zbMATH Keywords

round-off errordegeneracyline segmentssorting algorithmcontrolled perturbationdefinite-degeneracyfixed-precision numbergeometric predicatepotential degeneracy


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)




Cites Work

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  • Polyhedral perturbations that preserve topological form
  • Combinatorial algorithms for feedback problems in directed graphs
  • A perturbation scheme for spherical arrangements with application to molecular modeling
  • Classroom examples of robustness problems in geometric computations
  • Approximation algorithms for spreading points
  • Reliable and Efficient Computational Geometry Via Controlled Perturbation
  • CONTROLLED PERTURBATION FOR ARRANGEMENTS OF CIRCLES
  • The computational geometry algorithms library CGAL
  • Aggregating inconsistent information
  • Ordering by weighted number of wins gives a good ranking for weighted tournaments
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