Publication
Title
An exact robust method to localize a known sphere by means of one image
Author
Abstract
In this article we provide a very robust algorithm to compute the position of the center of a sphere with known radius from one image by a calibrated camera. To our knowledge it is the first time that an exact sphere localization formula is published that only uses the (pixel) area and the ellipse center of the sphere image. Other authors either derived an approximation formula or followed the less robust and more time consuming procedure of fitting an ellipse through the detected edge pixels. Our method is analytic and deterministic, making use of the unique positive real tool of a cubic equation. We observe that the proposed area method is significantly more accurate and precise than an ellipse fitting method. Furthermore, we investigate in what conditions for sphere images the proposed exact method is preferable to the robust approximation method. These observations are validated by virtual, synthetic and real experiments.
Language
English
Source (journal)
International journal of computer vision. - Dordrecht
International journal of computer vision. - Dordrecht
Publication
Dordrecht : 2019
ISSN
0920-5691
Volume/pages
127 :8 (2019) , p. 1012-1024
ISI
000474559000003
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 08.01.2019
Last edited 19.10.2021
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