A Rao-Blackwellized Parts-Constellation Tracker

We present a method for efficiently tracking objects represented as constellations of parts by integrating out the shape of the model. Parts-based models have been successfully applied to object recognition and tracking. However, the high dimensionality of such models present an obstacle to traditional particle filtering approaches. We can efficiently use parts-based models in a particle filter by applying Rao-Blackwellization to integrate out continuous parameters such as shape. This allows us to maintain multiple hypotheses for the pose of an object without the need to sample in the high-dimensional spaces in which parts-based models live. We present experimental results for a challenging biological tracking task.

[1]  Nando de Freitas,et al.  Rao-Blackwellised Particle Filtering for Dynamic Bayesian Networks , 2000, UAI.

[2]  N. de Freitas Rao-Blackwellised particle filtering for fault diagnosis , 2002, Proceedings, IEEE Aerospace Conference.

[3]  P. Fearnhead,et al.  Improved particle filter for nonlinear problems , 1999 .

[4]  N. Gordon,et al.  Novel approach to nonlinear/non-Gaussian Bayesian state estimation , 1993 .

[5]  P. Schönemann On artificial intelligence , 1985, Behavioral and Brain Sciences.

[6]  Takeo Kanade,et al.  An Iterative Image Registration Technique with an Application to Stereo Vision , 1981, IJCAI.

[7]  Pietro Perona,et al.  A Probabilistic Approach to Object Recognition Using Local Photometry and Global Geometry , 1998, ECCV.

[8]  N. D. Freitas Rao-Blackwellised particle filtering for fault diagnosis , 2002 .

[9]  Bernd Neumann,et al.  Computer Vision — ECCV’98 , 1998, Lecture Notes in Computer Science.

[10]  Sebastian Thrun,et al.  FastSLAM: a factored solution to the simultaneous localization and mapping problem , 2002, AAAI/IAAI.

[11]  Nando de Freitas,et al.  Sequential Monte Carlo Methods in Practice , 2001, Statistics for Engineering and Information Science.

[12]  P. Fearnhead,et al.  An improved particle filter for non-linear problems , 1999 .

[13]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[14]  Michael Isard,et al.  Tracking loose-limbed people , 2004, CVPR 2004.

[15]  G. McLachlan,et al.  The EM algorithm and extensions , 1996 .

[16]  D. N. Prabhakar Murthy,et al.  Wiley Series in Probability and Statistics , 2003 .

[17]  Dieter Fox,et al.  Knowledge Compilation Properties of Trees-of-BDDs, Revisited , 2009, IJCAI.

[18]  Pietro Perona,et al.  Object class recognition by unsupervised scale-invariant learning , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[19]  Michael Isard,et al.  Contour Tracking by Stochastic Propagation of Conditional Density , 1996, ECCV.

[20]  F. Dellaert,et al.  A Rao-Blackwellized particle filter for EigenTracking , 2004, CVPR 2004.