Detail výsledku

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.
Typ
článek v časopise
Jazyk
angličtina
Autoři
Hrdina Jaroslav, doc. Mgr., Ph.D., ÚM OAAG (FSI)
Pavlík Jan, Mgr., Ph.D., ÚM OAAG (FSI)
Abstrakt

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.

Klíčová slova

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

URL
Rok
2015
Strany
141–155
Časopis
International Journal of Pure and Applied Mathematics, roč. 2015 (101), č. 2, ISSN 1311-8080
Vydavatel
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"
}
Soubory
Projekty
Podpora tvorby excelentních týmů mezioborového výzkumu na VUT, EU, OP VK - Oblast podpory 2.3 - Lidské zdroje ve VaV, EE2.3.30.0005, zahájení: 2012-07-01, ukončení: 2015-06-30, ukončen
Pracoviště
Ústav matematiky (ÚM)
Nahoru