Fractional cascading: II. Applications

Bernard Chazelle, Leonidas J. Guibas

Research output: Contribution to journalArticlepeer-review

68 Scopus citations


This paper presents several applications of fractional cascading, a new searching technique which has been described in a companion paper. The applications center around a variety of geometric query problems. Examples include intersecting a polygonal path with a line, slanted range search, orthogonal range search, computing locus functions, and others. Some results on the optimality of fractional cascading, and certain extensions of the technique for retrieving additional information are also included.

Original languageEnglish (US)
Pages (from-to)163-191
Number of pages29
Issue number1
StatePublished - Mar 1 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Computer Science Applications
  • Applied Mathematics


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