An Efficient Implementation of Reid's Multiple Hypothesis Tracking Algorithm and Its Evaluation for the Purpose of Visual Tracking

An efficient implementation of Reid's multiple hypothesis tracking (MHT) algorithm is presented in which the k-best hypotheses are determined in polynomial time using an algorithm due to Murly (1968). The MHT algorithm is then applied to several motion sequences. The MHT capabilities of track initiation, termination, and continuation are demonstrated together with the latter's capability to provide low level support of temporary occlusion of tracks. Between 50 and 150 corner features are simultaneously tracked in the image plane over a sequence of up to 51 frames. Each corner is tracked using a simple linear Kalman filter and any data association uncertainty is resolved by the MHT. Kalman filter parameter estimation is discussed, and experimental results show that the algorithm is robust to errors in the motion model. An investigation of the performance of the algorithm as a function of look-ahead (tree depth) indicates that high accuracy can be obtained for tree depths as shallow as three. Experimental results suggest that a real-time MHT solution to the motion correspondence problem is possible for certain classes of scenes.

[1]  R. Danchick,et al.  A fast method for finding the exact N-best hypotheses for multitarget tracking , 1993 .

[2]  M.L. Miller,et al.  A comparison of two algorithms for determining ranked assignments with application to multitarget tracking and motion correspondence , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[3]  Katta G. Murty,et al.  Letter to the Editor - An Algorithm for Ranking all the Assignments in Order of Increasing Cost , 1968, Oper. Res..

[4]  Ingemar J. Cox,et al.  A Bayesian Multiple Hypothesis Approach to Contour Grouping , 1992, ECCV.

[5]  Ingemar J. Cox,et al.  Modeling a Dynamic Environment Using a Bayesian Multiple Hypothesis Approach , 1994, Artif. Intell..

[6]  J. B. Collins,et al.  Efficient gating in data association with multivariate Gaussian distributed states , 1992 .

[7]  Ingemar J. Cox,et al.  Unsupervised learning for mobile robot navigation using probabilistic data association , 1994, COLT 1994.

[8]  Larry S. Shapiro,et al.  A Matching and Tracking Strategy for Independently Moving Objects , 1992 .

[9]  Bin Zhou,et al.  Multitarget tracking in clutter: algorithms for data association and state estimation , 1992 .

[10]  Yaakov Bar-Shalom,et al.  Sonar tracking of multiple targets using joint probabilistic data association , 1983 .

[11]  N. K. Bose,et al.  Multitarget tracking in clutter: fast algorithms for data association , 1993 .

[12]  Olivier D. Faugeras,et al.  Maintaining representations of the environment of a mobile robot , 1988, IEEE Trans. Robotics Autom..

[13]  Y. Bar-Shalom Tracking and data association , 1988 .

[14]  Patrick Bouthemy,et al.  Region-Based Tracking in an Image Sequence , 1992, ECCV.

[15]  K. G. Murty An Algorithm for Ranking All the Assignment in Order of Increasing Cost , 1968 .

[16]  J. K. Aggarwal,et al.  3D structure reconstruction from an ego motion sequence using statistical estimation and detection theory , 1991, Proceedings of the IEEE Workshop on Visual Motion.

[17]  Ingemar J. Cox,et al.  On Finding Ranked Assignments With Application to Multi-Target Tracking and Motion Correspondence , 1995 .

[18]  P. Smith,et al.  A branching algorithm for discriminating and tracking multiple objects , 1975 .

[19]  W. Brogan Algorithm for Ranked Assignments with Applications to Multiobject Tracking , 1989 .

[20]  Rama Chellappa,et al.  Automatic feature point extraction and tracking in image sequences for unknown camera motion , 1993, 1993 (4th) International Conference on Computer Vision.

[21]  John E. W. Mayhew,et al.  Psychophysical and Computational Studies Towards a Theory of Human Stereopsis , 1981, Artif. Intell..

[22]  M. R. Chidambara,et al.  Combinatorial problems in multitarget tracking-a comprehensive solution , 1987 .

[23]  R. Chellappa,et al.  Recursive 3-D motion estimation from a monocular image sequence , 1990 .

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

[25]  Peter N. Yianilos,et al.  Data structures and algorithms for nearest neighbor search in general metric spaces , 1993, SODA '93.

[26]  I.J. Cox,et al.  Probabilistic data association for dynamic world modeling: a multiple hypothesis approach , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[27]  H. Damasio,et al.  IEEE Transactions on Pattern Analysis and Machine Intelligence: Special Issue on Perceptual Organization in Computer Vision , 1998 .

[28]  Rachid Deriche,et al.  Tracking line segments , 1990, Image Vis. Comput..

[29]  D. Jacobs Grouping for Recognition , 1989 .

[30]  M. Dawson,et al.  The how and why of what went where in apparent motion: modeling solutions to the motion correspondence problem. , 1991, Psychological review.