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Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method

  • Naizhang Feng
  • , Teng Jiang
  • , Shiqi Duan
  • , Mingjian Sun*
  • *Corresponding author for this work
  • School of Information Science and Engineering, Harbin Institute of Technology Weihai

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In the field of image processing and machine vision, it is sometimes necessary to obtain common tangent line equations and tangent point coordinates from ellipses. A rolling tangent line method was proposed to obtain the 4 common tangent line equations and 8 tangent point coordinates from two ellipses in this paper. The principle of this method is simple and it is easy to program on a computer. Use this method to process two ellipse targets in an image and the experiment results show that the 4 common tangent equations and 8 tangent point coordinates can be obtained in high precision and the maximum execution time is less than 0.1 s.

Original languageEnglish
Title of host publicationMachine Learning and Intelligent Communications - Second International Conference, MLICOM 2017, Proceedings
EditorsBo Li, Xuemai Gu, Gongliang Liu
PublisherSpringer Verlag
Pages569-576
Number of pages8
ISBN (Print)9783319734460
DOIs
StatePublished - 2018
Externally publishedYes
Event2nd International Conference on Machine Learning and Intelligent Communications, MLICOM 2017 - Weihai, China
Duration: 5 Aug 20176 Aug 2017

Publication series

NameLecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST
Volume227 LNICST
ISSN (Print)1867-8211

Conference

Conference2nd International Conference on Machine Learning and Intelligent Communications, MLICOM 2017
Country/TerritoryChina
CityWeihai
Period5/08/176/08/17

Keywords

  • Common tangent line
  • Ellipse
  • Image processing
  • Machine vision

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