An optimal algorithm for computing the minimum vertex distance between two crossing convex polygons

Godfried Toussaint

Research output: Contribution to journal › Article

Abstract

Let P={p1, p2, ..., pm} and Q={q1, q2, ..., qn} be two intersecting convex polygons whose vertices are specified by their cartesian coordinates in order. An optimal O(m+n) algorithm is presented for computing the minimum euclidean distance betweena vertex pi in P and a vertex qj in Q.

Original languageEnglish (US)
Pages (from-to)357-364
Number of pages8
JournalComputing
Volume32
Issue number4
DOIs
StatePublished - Dec 1 1984

Fingerprint

Convex polygon
Optimal Algorithm
Computing
p.m.
Minimum Distance
Vertex of a graph
Euclidean Distance
Pi
Cartesian

Keywords

  • Algorithms
  • complexity
  • computational geometry
  • convex polygons
  • minimum distance
  • Voronoi diagrams

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics

Cite this

An optimal algorithm for computing the minimum vertex distance between two crossing convex polygons. / Toussaint, Godfried.

In: Computing, Vol. 32, No. 4, 01.12.1984, p. 357-364.

Research output: Contribution to journal › Article

Toussaint, G 1984, 'An optimal algorithm for computing the minimum vertex distance between two crossing convex polygons', Computing, vol. 32, no. 4, pp. 357-364. https://doi.org/10.1007/BF02243778
Toussaint G. An optimal algorithm for computing the minimum vertex distance between two crossing convex polygons. Computing. 1984 Dec 1;32(4):357-364. https://doi.org/10.1007/BF02243778
Toussaint, Godfried. / An optimal algorithm for computing the minimum vertex distance between two crossing convex polygons. In: Computing. 1984 ; Vol. 32, No. 4. pp. 357-364.
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