Orthogonal Moments and their Application to Motion Detection in Image Sequences

Motion detection is one of the most important subjects in modern information acquisition systems for dynamic scenes. In this paper, we address motion detection in image sequences by the use of smoothed orthogonal Gaussian-Hermite moments. After introducing the orthogonal moments, with their fast calculations and the analysis on their behavior, we present a new method of motion detection in image sequences by the use of temporal Gaussian-Hermite moments. Experimental results are presented and are compared with the other methods, which shows the good performance of smoothed orthogonal Gaussian-Hermite moments for motion detection.

[1]  Jun Shen,et al.  Orthogonal Legendre moments and their calculation , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[2]  Miroslaw Pawlak,et al.  On the reconstruction aspects of moment descriptors , 1992, IEEE Trans. Inf. Theory.

[3]  Jun Shen,et al.  Pascal triangle transform approach to the calculation of 3D moments , 1992, CVGIP Graph. Model. Image Process..

[4]  W. Eric L. Grimson,et al.  Adaptive background mixture models for real-time tracking , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[5]  A. G. Azpeitia,et al.  Introduction to Numerical Analysis. , 1968 .

[6]  Carl Erik Fröberg,et al.  Introduction to Numerical Analysis , 1969 .

[7]  Hon-Son Don,et al.  3-D Moment Forms: Their Construction and Application to Object Identification and Positioning , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  W. Eric L. Grimson,et al.  Learning Patterns of Activity Using Real-Time Tracking , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Mehdi Hatamian,et al.  A real-time two-dimensional moment generating algorithm and its single chip implementation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[10]  Jun Shen,et al.  Fast computation of moment invariants , 1991, Pattern Recognit..

[11]  Jun Shen,et al.  Image characterization by fast calculation of Legendre moments , 1996, Remote Sensing.

[12]  P. Dodwell Visual Pattern Recognition , 1970 .

[13]  Naokazu Yokoya,et al.  Range Image Segmentation Based on Differential Geometry: A Hybrid Approach , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Abdol-Reza Mansouri,et al.  Region Tracking via Level Set PDEs without Motion Computation , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Philip Rabinowitz,et al.  Methods of Numerical Integration , 1985 .

[16]  M. J. McDonnell,et al.  Box-filtering techniques , 1981 .

[17]  Paul J. Zsombor-Murray,et al.  Fast algorithm for the computation of moment invariants , 1987, Pattern Recognit..

[18]  Hans-Hellmut Nagel,et al.  On the Estimation of Optical Flow: Relations between Different Approaches and Some New Results , 1987, Artif. Intell..

[19]  Wei Shen,et al.  Fuzzy neural nets with non-symmetric pi membership functions and applications in signal processing and image analysis , 2000, Signal Processing.

[20]  Mubarak Shah,et al.  Tracking and Object Classification for Automated Surveillance , 2002, ECCV.

[21]  C. Chui Wavelets: A Tutorial in Theory and Applications , 1992 .

[22]  Hironobu Fujiyoshi,et al.  Real-time human motion analysis by image skeletonization , 1998, Proceedings Fourth IEEE Workshop on Applications of Computer Vision. WACV'98 (Cat. No.98EX201).

[23]  Wei Shen,et al.  On Geometric and Orthogonal Moments , 2000, Int. J. Pattern Recognit. Artif. Intell..

[24]  Roland T. Chin,et al.  On image analysis by the methods of moments , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[25]  Jun Shen,et al.  Two-dimensional local moment, surface fitting and their fast computation , 1994, Pattern Recognit..

[26]  Rene F. Swarttouw,et al.  Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.

[27]  Larry S. Davis,et al.  W4: Real-Time Surveillance of People and Their Activities , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[28]  R. Haralick,et al.  The Facet Approach to Optic Flow , 1983 .

[29]  Jun Shen,et al.  Range-image-based calculation of three-dimensional convex object moments , 1993, IEEE Trans. Robotics Autom..

[30]  Jun Shen,et al.  Image characterization by fast calculation of low-order Legendre moments , 1996, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929).

[31]  M. Pawlak,et al.  On image analysis by orthogonal moments , 1992, Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. III. Conference C: Image, Speech and Signal Analysis,.

[32]  Wen-Hsiang Tsai,et al.  Moment-preserving corner detection , 1990, Pattern Recognit..

[33]  Demetri Psaltis,et al.  Recognitive Aspects of Moment Invariants , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[34]  Jun Shen Orthogonal Gaussian-Hermite moments for image characterization , 1997, Other Conferences.