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

Naizhang Feng; Teng Jiang; Shiqi Duan; Mingjian Sun

Machine Learning and Intelligent Communications. Second International Conference, MLICOM 2017, Weihai, China, August 5-6, 2017, Proceedings, Part II

Research Article

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

Download

120 downloads

Cite: BibTeX Plain Text

@INPROCEEDINGS{10.1007/978-3-319-73447-7_61,
    author={Naizhang Feng and Teng Jiang and Shiqi Duan and Mingjian Sun},
    title={Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method},
    proceedings={Machine Learning and Intelligent Communications. Second International Conference, MLICOM 2017, Weihai, China, August 5-6, 2017, Proceedings, Part II},
    proceedings_a={MLICOM},
    year={2018},
    month={2},
    keywords={Image processing Machine vision Ellipse Common tangent line},
    doi={10.1007/978-3-319-73447-7_61}
}

Naizhang Feng
Teng Jiang
Shiqi Duan
Mingjian Sun
Year: 2018
Obtaining Ellipse Common Tangent Line Equations by the Rolling Tangent Line Method
MLICOM
Springer
DOI: 10.1007/978-3-319-73447-7_61

Naizhang Feng¹, Teng Jiang¹, Shiqi Duan¹, Mingjian Sun¹^,*

1: Harbin Institute of Technology

*Contact email: sunmingjian@hit.edu.cn

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.

Keywords: Image processing Machine vision Ellipse Common tangent line

Published: 2018-02-09
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-319-73447-7_61