Estimating 3-D rigid body transformations: a comparison of four major algorithms
Machine Vision and Applications - Special issue on performance evaluation
Detection and Recognition of Periodic, Nonrigid Motion
International Journal of Computer Vision
View-Invariant Analysis of Cyclic Motion
International Journal of Computer Vision
Robust Real-Time Periodic Motion Detection, Analysis, and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dynamical system representation, generation, and recognition of basic oscillatory motion gestures
FG '96 Proceedings of the 2nd International Conference on Automatic Face and Gesture Recognition (FG '96)
Describing motion for recognition
ISCV '95 Proceedings of the International Symposium on Computer Vision
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Finding Periodicity in Space and Time
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Convex Optimization
Measure Locally, Reason Globally: Occlusion-sensitive Articulated Pose Estimation
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Tracking People by Learning Their Appearance
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Periodic Human Motion Reconstruction from 2D Motion Sequences
Neural Computation
Extraction and Analysis of Multiple Periodic Motions in Video Sequences
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating 3D Trajectories of Periodic Motions from Stationary Monocular Views
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part III
Estimating 3D Positions and Velocities of Projectiles from Monocular Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representing cyclic human motion using functional analysis
Image and Vision Computing
View-invariant analysis of periodic motion
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Inferring 3D body pose from silhouettes using activity manifold learning
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Structure from periodic motion
SCVMA'04 Proceedings of the First international conference on Spatial Coherence for Visual Motion Analysis
IEEE Transactions on Information Theory
International Journal of Computer Applications in Technology
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Periodicity has been recognized as an important cue for tasks like activity recognition and gait analysis. However, most existing techniques analyze periodic motions only in image coordinates, making them very dependent on the viewing angle. In this paper we show that it is possible to reconstruct a periodic trajectory in 3D given only its appearance in image coordinates from a single camera view. We draw a strong analogy between this problem and that of reconstructing an object from multiple views, which allows us to rely on well-known theoretical results from the multi-view geometry domain and obtain significant guarantees regarding the solvability of the estimation problem. We present two different formulations of the problem, along with techniques for performing the reconstruction in both cases, and an algorithm for estimating the period of motion from its image-coordinate trajectory. Experimental results demonstrate the feasibility of the proposed techniques.