Skip to main content

Statistical surface tracking

  • Posters
  • Conference paper
  • First Online:
Computer Analysis of Images and Patterns (CAIP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 970))

Included in the following conference series:

  • 151 Accesses

Abstract

This paper describes a novel approach to surface tracking in volumetric image stacks. It draws on a statistical model of the uncertainties inherent in the characterisation of intensity surfaces to compute an evidential field for interframe contour displacements. This field is computed using Gaussian density kernels which are parameterised in terms of the variance-covariance matricies for contour displacement. The underlying variance model accommodates the effects of raw image noise on the estimated surface normals. The evidential field effectively couples contour displacements to the intensity features on successive frames through a statistical process of contour tracking. With the evidential field to hand, hard contours may be extracted in a decision theoretic manner.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bruckstein A.M. and Shaked D., “Projective Invariant Smoothing and Evolution of Planar Curves”, Aspects of Visual Form Processing, Edited by C Arcelli, L Cordelia and G Sanniti di Baja, pp 109–119, 1994.

    Google Scholar 

  2. Gage M. and Hamilton R.S., “The Heat Equation Shrinking Convex Planar Curves”, Journal of Differential Geometry, 23, pp. 69–96, 1986.

    Google Scholar 

  3. Kimia B.B., Tannenbaum A. and Zucker S.W., “On the Shape Triangle”, Aspects of Visual Form Processing, Edited by C Arcelli, L Cordella and G Sanniti di Baja, pp 307–323, 1994.

    Google Scholar 

  4. Kimia B.J. and Siddiqi, “Geometric Heat Equation and Non-linear Diffusion of Shapes in Images”, Proceedings IEEE CVPR Conference, pp 113–119, 1994.

    Google Scholar 

  5. Osher S.J and Sethian J.A., “Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations”, Journal of Computational Physics, 79, pp 12–49, 1988.

    Google Scholar 

  6. Sander P.T. and Zucker S.W., “Inferring surface trace and differential structure from 3D images”, IEEE PAMI, PAMI 12, pp.833–854, 1990.

    Google Scholar 

  7. Sharp N.G. and Hancock E.R., “Feature Tracking by Multiframe Relaxation”, Image and Vision Computing, to appear September, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Václav Hlaváč Radim Šára

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sharp, N.G., Hancock, E.R. (1995). Statistical surface tracking. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_354

Download citation

  • DOI: https://doi.org/10.1007/3-540-60268-2_354

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60268-2

  • Online ISBN: 978-3-540-44781-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics