TY - GEN
T1 - Estimating 3D trajectories of periodic motions from stationary monocular views
AU - Ribnick, Evan
AU - Papanikolopoulos, Nikolaos P
PY - 2008
Y1 - 2008
N2 - We present a method for estimating the 3D trajectory of an object undergoing periodic motion in world coordinates by observing its apparent trajectory in a video taken from a single stationary camera. Periodicity in 3D is used here as a physical constraint, from which accurate solutions can be obtained. A detailed analysis is performed, from which we gain significant insight regarding the nature of the problem and the information that is required to arrive at a unique solution. Subsequently, a robust, numerical approach is proposed, and it is demonstrated that the cost function exhibits strong local convexity which is amenable to local optimization methods. Experimental results indicate the effectiveness of the proposed method for reconstructing periodic trajectories in 3D.
AB - We present a method for estimating the 3D trajectory of an object undergoing periodic motion in world coordinates by observing its apparent trajectory in a video taken from a single stationary camera. Periodicity in 3D is used here as a physical constraint, from which accurate solutions can be obtained. A detailed analysis is performed, from which we gain significant insight regarding the nature of the problem and the information that is required to arrive at a unique solution. Subsequently, a robust, numerical approach is proposed, and it is demonstrated that the cost function exhibits strong local convexity which is amenable to local optimization methods. Experimental results indicate the effectiveness of the proposed method for reconstructing periodic trajectories in 3D.
UR - http://www.scopus.com/inward/record.url?scp=56749161374&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=56749161374&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-88690-7_41
DO - 10.1007/978-3-540-88690-7_41
M3 - Conference contribution
AN - SCOPUS:56749161374
SN - 3540886893
SN - 9783540886891
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 546
EP - 559
BT - Computer Vision - ECCV 2008 - 10th European Conference on Computer Vision, Proceedings
PB - Springer Verlag
T2 - 10th European Conference on Computer Vision, ECCV 2008
Y2 - 12 October 2008 through 18 October 2008
ER -