Skip to main content

Tracking Objects Using Orientation Covariance Matrices

  • Conference paper
  • 2918 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6838))

Abstract

This paper presents a novel model, called orientation covariance matrices, to represent the object region and introduces a steepest descent method for object tracking. This model partitions the gradient orientation space of joint color channels into subspaces (bins), and computes the covariance matrix of image features in every bin. In the model a feature point does not belong exclusively to one bin; instead, it makes contributions to several neighboring bins. This is accomplished by introducing the cosine function for weighting the gradient components of feature vectors. The weighting function helps to alleviate the effect of errors in the computation of gradients induced by noise and illumination change. We also introduce a spatial kernel for emphasizing the feature vectors which are nearer to the object center and for excluding more background information. Based on the orientation covariance matrices, we introduce a distance metric and develop a steepest descent algorithm for object tracking. Experiments show that the proposed method has better performance than the traditional covariance tracking method.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Porikli, F., Tuzel, O., Meer, P.: Covariance Tracking Using Model Update based on Lie Algebra. In: Proc. of IEEE Conf. on Computer Vision and Pattern Recognition, pp. 728–735 (2006)

    Google Scholar 

  2. Förstner, W., Moonen, B.: A Metric for Covariance Matrices. Technical Report. Dept. of Geodesy and Geoinformatics, Stuttgart University (1999)

    Google Scholar 

  3. Li, X., Hu, W., Zhang, Z., et al.: Real-time Visual Tracking via Incremental Covariance Tensor Learning. In: Proc. of IEEE Conf. on Computer Vision and Pattern Recognition, pp. 1–8 (2008)

    Google Scholar 

  4. Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Geometric Means in a Novel Vector Space Structure on Symmetric Positive-Definite Matrices. SIAM J. Matrix Analysis Applications 29(1), 328–347 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Wu, Y., Cheng, J., Wang, J.Q., Lu, H.Q.: Visual Tracking via Incremental Log-Euclidean Riemannian Subspace Learning. In: Proc. of Int. Conf. on Computer Vision, pp. 1631–1638 (2009)

    Google Scholar 

  6. Karasev, P., Malcolm, J.G., Tannenbaum, A.: Kernel-based High-dimensional Histogram Estimation for Visual Tracking. In: Proc. of Int. Conf. on Image Processing, pp. 2728–2731 (2008)

    Google Scholar 

  7. Tuzel, O., Porikli, F., Meer, P.: Region Covariance: A Fast Descriptor for Detection and Classification. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 589–600. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Gong, L., Wang, T., Liu, F.: Shape of Gaussians as Feature Descriptors. In: Proc. of IEEE Conf. on Computer Vision and Pattern Recognition, pp. 2366–2371 (2009)

    Google Scholar 

  9. Dalal, N., Triggs, B.: Histograms of Oriented Gradients for Human Detection. In: Proc. of IEEE Conf. on Computer Vision and Pattern Recognition, pp. 886–893 (2005)

    Google Scholar 

  10. Tyagi, A., Davis, J.W., Potamianos, G.: Steepest Descent for Efficient Covariance Tracking. In: IEEE Workshop on Motion and Video Computing, pp. 1–6 (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

De-Shuang Huang Yong Gan Vitoantonio Bevilacqua Juan Carlos Figueroa

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, P., Sun, Q. (2011). Tracking Objects Using Orientation Covariance Matrices. In: Huang, DS., Gan, Y., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing. ICIC 2011. Lecture Notes in Computer Science, vol 6838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24728-6_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24728-6_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24727-9

  • Online ISBN: 978-3-642-24728-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics