Fractional cascading: II. Applications

Bernard Chazelle; Leonidas J. Guibas

doi:10.1007/BF01840441

Fractional cascading: II. Applications

Bernard Chazelle, Leonidas J. Guibas

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26 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	163-191
Number of pages	29
Journal	Algorithmica
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF01840441
State	Published - Mar 1 1986
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computer Science(all)
Computer Science Applications
Applied Mathematics

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10.1007/BF01840441

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AB - 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.

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Fractional cascading: II. Applications

Abstract

All Science Journal Classification (ASJC) codes

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