Publication detail

Reconstruction of an ellipse from its raster image

HRDINA, J. PAVLÍK, J.

English title

Reconstruction of an ellipse from its raster image

Type

Scopus Article

Language

en

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.

Keywords in English

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

Released

2015-04-14

Publisher

Academic Publications, Ltd

ISSN

1311-8080

Journal

International Journal of Pure and Applied Mathematics

Volume

2015 (101)

Number

2

Pages from–to

141–155

Pages count

16

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"
}