Publication result detail

Reconstruction of an ellipse from its raster image

HRDINA, J.; PAVLÍK, J.

Original Title

Reconstruction of an ellipse from its raster image

English Title

Reconstruction of an ellipse from its raster image

Type

Scopus Article

Original Abstract

Motivated by practical application, we investigate the ways how to obtain a description of an ellipse whose circumscribed rectangle is known exactly and whose coordinates of touching points are known up to a certain inaccuracy. We show the sufficient condition for determination of such an ellipse, derive the implicit and parametric equations and show a proposal of the solution by the modification of the standard regression method.

English abstract

Motivated by practical application, we investigate the ways how to obtain a description of an ellipse whose circumscribed rectangle is known exactly and whose coordinates of touching points are known up to a certain inaccuracy. We show the sufficient condition for determination of such an ellipse, derive the implicit and parametric equations and show a proposal of the solution by the modification of the standard regression method.

Keywords

fitting ellipse, equation of an ellipse, regression method, parametric expression

Key words in English

fitting ellipse, equation of an ellipse, regression method, parametric expression

Authors

HRDINA, J.; PAVLÍK, J.

RIV year

2016

Released

14.04.2015

Publisher

Academic Publications, Ltd

ISBN

1311-8080

Periodical

International Journal of Pure and Applied Mathematics

Volume

2015 (101)

Number

2

State

Republic of Bulgaria

Pages from

141

Pages to

155

Pages count

16

URL

http://www.ijpam.eu/contents/2015-101-2/3/index.html

Full text in the Digital Library

http://hdl.handle.net/11012/38160

BibTex

@article{BUT114117,
  author="Jaroslav {Hrdina} and Jan {Pavlík}",
  title="Reconstruction of an ellipse from its raster image",
  journal="International Journal of Pure and Applied Mathematics",
  year="2015",
  volume="2015 (101)",
  number="2",
  pages="141--155",
  doi="10.12732/ijpam.v101i2.3",
  issn="1311-8080",
  url="http://www.ijpam.eu/contents/2015-101-2/3/index.html"
}

Documents

3