Efficient Intersection of Three Quadrics and Applications in Computer Vision
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F16%3A00307404" target="_blank" >RIV/68407700:21730/16:00307404 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/CVPR.2016.199" target="_blank" >http://dx.doi.org/10.1109/CVPR.2016.199</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CVPR.2016.199" target="_blank" >10.1109/CVPR.2016.199</a>
Alternative languages
Result language
angličtina
Original language name
Efficient Intersection of Three Quadrics and Applications in Computer Vision
Original language description
In this paper, we present a new algorithm for finding all intersections of three quadrics. The proposed method is algebraic in nature and it is considerably more efficient than the Groebner basis and resultant-based solutions previously used in computer vision applications. We identify several computer vision problems that are formulated and solved as systems of three quadratic equations and for which our algorithm readily delivers considerably faster results. Also, we propose new formulations of three important vision problems: absolute camera pose with unknown focal length, generalized pose-and-scale, and hand-eye calibration with known translation. These new formulations allow our algorithm to significantly outperform the state-of-the-art in speed.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JD - Use of computers, robotics and its application
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
CVPR 2016: Proceedings of the 2016 IEEE Conference on Computer Vision and Pattern Recognition
ISBN
978-1-4673-8851-1
ISSN
1063-6919
e-ISSN
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Number of pages
10
Pages from-to
1799-1808
Publisher name
IEEE Computer Society Press
Place of publication
Los Alamitos
Event location
Las Vegas
Event date
Jun 26, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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