A counterexample to a dynamic algorithm for convex hulls of line arrangements

Binay Bhattacharya, Hazel Everett, Godfried Toussaint

Research output: Contribution to journalArticle

Abstract

An algorithm was recently published to maintain dynamically the convex hull of the set I of intersection points of a set L of n lines in the plane (Boreddy 1990). In other words, given the convex hull of I it is desired to update the convex hull when a new line is added to L (the insertion problem) and it is desired to update the convex hull when an old line is deleted from L (the deletion problem). No proofs of correctness are given in (Boreddy 1990). In fact, we show in this note that the deletion algorithm proposed is incorrect.

Original languageEnglish (US)
Pages (from-to)145-147
Number of pages3
JournalPattern Recognition Letters
Volume12
Issue number3
DOIs
StatePublished - Mar 1991

Keywords

  • Computational geometry
  • convex hull

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

Cite this