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HRDINA, J. PAVLÍK, J.
Original Title
Reconstruction of an ellipse from its raster image
Type
journal article in Scopus
Language
English
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
fitting ellipse, equation of an ellipse, regression method, parametric expression
Authors
HRDINA, J.; PAVLÍK, J.
RIV year
2015
Released
14. 4. 2015
Publisher
Academic Publications, Ltd
ISBN
1311-8080
Periodical
International Journal of Pure and Applied Mathematics
Year of study
2015 (101)
Number
2
State
Republic of Bulgaria
Pages from
141
Pages to
155
Pages count
16
URL
http://www.ijpam.eu/contents/2015-101-2/3/index.html
Full text in the Digital Library
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" }