Determining Radius and Position of a Sphere from a Single Catadioptric Image

In order to improve robot capabilities related to playing with a flying ball, reliable methods to localize a sphere in the 3D space are needed. When the radius of the sphere is known, it can be localized by analyzing a single, perspective image of it. When the sphere radius is not known, a single pe...

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Veröffentlicht in:Journal of intelligent & robotic systems 2008-08, Vol.52 (3-4), p.447-463
Hauptverfasser: Caglioti, Vincenzo, Gasparini, Simone
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Gasparini, Simone
description In order to improve robot capabilities related to playing with a flying ball, reliable methods to localize a sphere in the 3D space are needed. When the radius of the sphere is known, it can be localized by analyzing a single, perspective image of it. When the sphere radius is not known, a single perspective image is not sufficient. In this paper we consider axial-symmetric catadioptric cameras, i.e. devices consisting of an axial-symmetric mirror plus a perspective camera, whose viewpoint is on the symmetry axis. If the viewing rays are not all concurrent at a single point, this camera is said to be non-central. We show that, using a noncentral axial-symmetric catadioptric camera, a single image is sufficient to determine both the position of a sphere and its radius. Some preliminary experimental results are also presented.
doi_str_mv 10.1007/s10846-008-9225-6
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subjects Artificial Intelligence
Cameras
Computer Science
Computer Vision and Pattern Recognition
Control
Devices
Electrical Engineering
Engineering
Flight
Flying
Mechanical Engineering
Mechatronics
Robotics
Robots
Symmetry
Three dimensional
title Determining Radius and Position of a Sphere from a Single Catadioptric Image
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