IJPAM: Volume 101, No. 2 (2015)
ITS RASTER IMAGE
Brno University of Technology
Antoninska 548/1, 601 90 Brno, CZECH REPUBLIC
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.
Received: June 20, 2014
AMS Subject Classification: 65D10, 14H50, 65Z05
Key Words and Phrases: fitting ellipse, equation of an ellipse, regression method, parametric expression
Download paper from here.
DOI: 10.12732/ijpam.v101i2.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 141 - 155