Finding the minimum vertex distance between two disjoint convex polygons in linear time

Michael McKenna; Godfried T. Toussaint

doi:10.1016/0898-1221(85)90109-9

Finding the minimum vertex distance between two disjoint convex polygons in linear time

Michael McKenna, Godfried T. Toussaint

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Let V = v₁, v₂, ..., v_m and W = w₁, w₂, ..., w_n be two linearly separable convex polygons whose vertices are specified by their cartesian coordinates in order. An algorithm with O(m + n) worst-case time complexity is described for finding the minimum euclidean distance between a vertex v₁ in V and a vertex w_j in W. It is also shown that the algorithm is optimal.

Original language	English (US)
Pages (from-to)	1227-1242
Number of pages	16
Journal	Computers and Mathematics with Applications
Volume	11
Issue number	12
DOIs	https://doi.org/10.1016/0898-1221(85)90109-9
State	Published - Dec 1985

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0898-1221(85)90109-9

Cite this

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title = "Finding the minimum vertex distance between two disjoint convex polygons in linear time",

abstract = "Let V = v1, v2, ..., vm and W = w1, w2, ..., wn be two linearly separable convex polygons whose vertices are specified by their cartesian coordinates in order. An algorithm with O(m + n) worst-case time complexity is described for finding the minimum euclidean distance between a vertex v1 in V and a vertex wj in W. It is also shown that the algorithm is optimal.",

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AB - Let V = v1, v2, ..., vm and W = w1, w2, ..., wn be two linearly separable convex polygons whose vertices are specified by their cartesian coordinates in order. An algorithm with O(m + n) worst-case time complexity is described for finding the minimum euclidean distance between a vertex v1 in V and a vertex wj in W. It is also shown that the algorithm is optimal.

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Finding the minimum vertex distance between two disjoint convex polygons in linear time

Abstract

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