A simple O(n log n) algorithm for finding the maximum distance between two finite planar sets

被引:11
作者
Toussaint, Godfried T. [1 ]
McAlear, Jim A. [1 ]
机构
[1] McGill Univ, Sch Comp Sci, Montreal, PQ, Canada
关键词
Distance between sets; convex hull; diameter; cluster analysis; algorithms; geometric complexity; pattern recognition;
D O I
10.1016/0167-8655(82)90046-0
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A simple O(n log n) algorithm is presented for computing the maximum Euclidean distance between two finite planar sets of n points. When the n points form the vertices of simple polygons this complexity reduces to O(n).
引用
收藏
页码:21 / 24
页数:4
相关论文
共 14 条
[1]  
Avis D., 1980, P ALL C URB IL OCT, P35
[2]  
Bhattacharya B. K., J ALGORITHM IN PRESS
[3]  
Duda R.O., 1973, PATTERN CLASSIFICATI, P235
[4]  
ElGindy H., 1981, SOCS8113 MCGILL U
[5]  
Graham R. L., 1972, Information Processing Letters, V1, P132, DOI 10.1016/0020-0190(72)90045-2
[6]   HIERARCHICAL CLUSTERING SCHEMES [J].
JOHNSON, SC .
PSYCHOMETRIKA, 1967, 32 (03) :241-254
[7]  
Lee D. T., 1980, 8011FC04 NW U
[8]  
Lee D. T., 1980, 8003FC01 NW U DEP EL
[9]   LINEAR ALGORITHM FOR FINDING THE CONVEX-HULL OF A SIMPLE POLYGON [J].
MCCALLUM, D ;
AVIS, D .
INFORMATION PROCESSING LETTERS, 1979, 9 (05) :201-206
[10]  
Shamos M. I., 1975, P 7 ANN ACM S THEORY, P224