Reconstruction of an ellipse from its raster image
Loading...
Files
Date
2015-04-14
Authors
Hrdina, Jaroslav
PavlĂk, Jan
0000-0003-2460-7571Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Publications, Ltd
Altmetrics
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.
MotivovanĂ˝ praktickĂ˝mi aplikacemi, zkoumáme zpĹŻsoby, jak zĂskat popis elipsy, jejĂĹľ ohraniÄŤenĂ˝ obdĂ©lnĂk je známy, a jejĂĹľ souĹ™adnice dotyku bodĹŻ jsou známy s urÄŤitou pĹ™esnosti. Formulujeme dostateÄŤnĂ© podmĂnky pro stanovenĂ takovĂ© elipsy, odvozenĂ implicitnĂ a parametrickĂ© rovnice a ukazujeme návrh Ĺ™ešenĂ modifikacĂ standardnĂho regrese.
MotivovanĂ˝ praktickĂ˝mi aplikacemi, zkoumáme zpĹŻsoby, jak zĂskat popis elipsy, jejĂĹľ ohraniÄŤenĂ˝ obdĂ©lnĂk je známy, a jejĂĹľ souĹ™adnice dotyku bodĹŻ jsou známy s urÄŤitou pĹ™esnosti. Formulujeme dostateÄŤnĂ© podmĂnky pro stanovenĂ takovĂ© elipsy, odvozenĂ implicitnĂ a parametrickĂ© rovnice a ukazujeme návrh Ĺ™ešenĂ modifikacĂ standardnĂho regrese.
Description
Citation
International Journal of Pure and Applied Mathematics. 2015, vol. 2015 (101), issue 2, p. 141-155.
http://www.ijpam.eu/contents/2015-101-2/3/index.html
http://www.ijpam.eu/contents/2015-101-2/3/index.html
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en