A RANDOMIZED ALGORITHM FOR SLOPE SELECTION-Reference-Cited by-同舟云学术

A RANDOMIZED ALGORITHM FOR SLOPE SELECTION

Published:1992-03 Issue:01 Volume:02 Page:1-27
ISSN:0218-1959
Container-title:International Journal of Computational Geometry & Applications
language:en
Short-container-title:Int. J. Comput. Geom. Appl.

Author:

DILLENCOURT MICHAEL B.¹,MOUNT DAVID M.²,NETANYAHU NATHAN S.³

Affiliation:

1. Information and Computer Science Department, University of California, Irvine, California 92717-3425, USA

2. Department of Computer Science and Institute for Advanced Computer Studies, University of Maryland, College Park, Maryland 20742, USA

3. Computer Vision Laboratory, Center for Automation Research, University of Maryland, College Park, Maryland 20742, USA

Abstract

A set of n distinct points in the plane defines [Formula: see text] lines by joining each pair of distinct points. The median slope of these O(n2) lines was proposed by Theil as a robust estimator for the slope of the line of best fit for the points. We present a randomized algorithm for selecting the k-th smallest slope of such a set of lines which runs in expected O(n log n) time. An efficient implementation of the algorithm and practical experience with the algorithm are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218195992000020

Cited by 41 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On reverse shortest paths in geometric proximity graphs;Computational Geometry;2024-02

2. Computing Balanced Convex Partitions of Lines;Algorithmica;2022-12-29

3. robslopes: Fast Algorithms for Robust Slopes;CRAN: Contributed Packages;2021-01-27

4. Computing Balanced Convex Partitions of Lines;LATIN 2020: Theoretical Informatics;2020

5. Fast and accurate line detection with GPU-based least median of squares;Journal of Real-Time Image Processing;2018-10-05