Estimating 3-D location parameters using dual number quaternions
CVGIP: Image Understanding
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Towards a General Multi-View Registration Technique
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating 3-D rigid body transformations: a comparison of four major algorithms
Machine Vision and Applications - Special issue on performance evaluation
Multi-frame compression: theory and design
Signal Processing - Special section on signal processing technologies for short burst wireless communications
Analysis of 3-D Rotation Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to Stochastic Search and Optimization
Introduction to Stochastic Search and Optimization
Statistical Shape Analysis: Clustering, Learning, and Testing
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D trajectory matching by pose normalization
Proceedings of the 13th annual ACM international workshop on Geographic information systems
Efficient Coding of Time-Relative Structure Using Spikes
Neural Computation
Learning Overcomplete Representations
Neural Computation
General design algorithm for sparse frame expansions
Signal Processing
Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)
Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)
Nonrigid Structure-from-Motion: Estimating Shape and Motion with Hierarchical Priors
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Fast gesture recognition based on a two-level representation
Pattern Recognition Letters
Trajectory Space: A Dual Representation for Nonrigid Structure from Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing
Sparse and shift-Invariant representations of music
IEEE Transactions on Audio, Speech, and Language Processing
3D rotation invariant decomposition of motion signals
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part III
KI'12 Proceedings of the 35th Annual German conference on Advances in Artificial Intelligence
Invariant Scattering Convolution Networks
IEEE Transactions on Pattern Analysis and Machine Intelligence
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A new model for describing a three-dimensional (3D) trajectory is proposed in this paper. The studied trajectory is viewed as a linear combination of rotatable 3D patterns. The resulting model is thus 3D rotation invariant (3DRI). Moreover, the temporal patterns are considered as shift-invariant. This paper is divided into two parts based on this model. On the one hand, the 3DRI decomposition estimates the active patterns, their coefficients, their rotations and their shift parameters. Based on sparse approximation, this is carried out by two non-convex optimizations: 3DRI matching pursuit (3DRI-MP) and 3DRI orthogonal matching pursuit (3DRI-OMP). On the other hand, a 3DRI learning method learns the characteristic patterns of a database through a 3DRI dictionary learning algorithm (3DRI-DLA). The proposed algorithms are first applied to simulation data to evaluate their performances and to compare them to other algorithms. Then, they are applied to real motion data of cued speech, to learn the 3D trajectory patterns characteristic of this gestural language.