Title
Recovery of Circular Motion from Profiles of Surfaces
Abstract
This paper addresses the problem of motion recovery from image profiles, in the important case of turntable sequences. No correspondences between points or lines are used. Symmetry properties of surfaces of revolution are exploited to obtain, in a robust and simple way, the image of the rotation axis of the sequence and the homography relating epipolar lines. These, together with geometric constraints for images of rotating objects, are used to obtain epipoles and, consequently, the full epipolar geometry of the camera system. This sequential approach (image of rotation axis -- homography -- epipoles) avoids many of the problems usually found in other algorithms for motion recovery from profiles. In particular, the search for the epipoles, by far the most critical step for the estimation of the epipolar geometry, is carried out as a one-dimensional optimization problem, with a smooth unimodal cost function. The initialization of the parameters is trivial in all three stages of the algorithm. After the estimation of the epipolar geometry, the motion is recovered using the fixed intrinsic parameters of the camera, obtained either from a calibration grid or from self-calibration techniques. Results from real data are presented, demonstrating the efficiency and practicality of the algorithm.
Year
DOI
Venue
1999
10.1007/3-540-44480-7_10
Workshop on Vision Algorithms
Keywords
Field
DocType
full epipolar geometry,circular motion,critical step,one-dimensional optimization problem,epipolar geometry,epipolar line,motion recovery,calibration grid,image profile,camera system,rotation axis,surface of revolution,cost function
Computer vision,Surface of revolution,Epipolar geometry,Computer science,Homography,Circular motion,Artificial intelligence,Initialization,Optimization problem,Calibration,Grid
Conference
ISBN
Citations 
PageRank 
3-540-67973-1
4
0.46
References 
Authors
12
3
Name
Order
Citations
PageRank
Paulo R. S. Mendonça161050.38
Kwan-Yee Kenneth Wong2261.45
Roberto Cipolla39413827.88