Result Details

Reconstruction of an ellipse from its raster image

HRDINA, J.; PAVLÍK, J. Reconstruction of an ellipse from its raster image. International Journal of Pure and Applied Mathematics, 2015, vol. 2015 (101), no. 2, p. 141-155. ISSN: 1311-8080.
Type
journal article
Language
English
Authors
Hrdina Jaroslav, doc. Mgr., Ph.D., IM DAAG (FME)
Pavlík Jan, Mgr., Ph.D., IM DAAG (FME)
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

URL
Published
2015
Pages
141–155
Journal
International Journal of Pure and Applied Mathematics, vol. 2015 (101), no. 2, ISSN 1311-8080
Publisher
Academic Publications, Ltd
DOI
10.12732/ijpam.v101i2.3
EID Scopus
2-s2.0-84927946657
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"
}
Files
Projects
Support of Interdisciplinary Excellence Research Teams Establishment at BUT, EU, OP VK - Oblast podpory 2.3 - Lidské zdroje ve VaV, EE2.3.30.0005, start: 2012-07-01, end: 2015-06-30, completed
Departments
Institute of Mathematics (IM)
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