Detail publikačního výsledku

Reconstruction of an ellipse from its raster image

HRDINA, J.; PAVLÍK, J.

Originální název

Reconstruction of an ellipse from its raster image

Anglický název

Reconstruction of an ellipse from its raster image

Druh

Článek Scopus

Originální 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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

HRDINA, J.; PAVLÍK, J.

Rok RIV

2016

Vydáno

14.04.2015

Nakladatel

Academic Publications, Ltd

ISSN

1311-8080

Periodikum

International Journal of Pure and Applied Mathematics

Svazek

2015 (101)

Číslo

2

Stát

Bulharská republika

Strany od

141

Strany do

155

Strany počet

16

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

3