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Signal and Noise Adapted Filters for Differential Motion Estimation

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Pattern Recognition (DAGM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3663))

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Abstract

Differential motion estimation in image sequences is based on measuring the orientation of local structures in spatio-temporal signal volumes. For this purpose, discrete filters which yield estimates of the local gradient are applied to the image sequence. Whereas previous approaches to filter optimization concentrate on the reduction of the systematical error of filters and motion models, the method presented in this paper is based on the statistical characteristics of the data. We present a method for adapting linear shift invariant filters to image sequences or whole classes of image sequences. We show how to simultaneously optimize derivative filters according to the systematical errors as well as to the statistical ones.

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References

  1. Barron, J.L., Fleet, D.J., Beauchemin, S.S.: Performance of optical flow techniques. Int. Journal of Computer Vision 12, 43–77 (1994)

    Article  Google Scholar 

  2. Horn, B.K.P., Schunck, B.G.: Determining optical flow. Artificial Intelligence 17, 185–204 (1981)

    Article  Google Scholar 

  3. Lucas, B., Kanade, T.: An iterative image registration technique with an application to stereo vision. In: Proc. Seventh International Joint Conference on Artificial Intelligence, Vancouver, Canada, August 1981, pp. 674–679 (1981)

    Google Scholar 

  4. Simoncelli, E.P.: Distributed Analysis and Representation of Visual Motion. PhD thesis, Massachusetts Institut of Technology, USA (1993)

    Google Scholar 

  5. Simoncelli, E.P.: Design of multi-dimensional derivative filters. In: Intern. Conf. on Image Processing, Austin, TX (1994)

    Google Scholar 

  6. Knutsson, H., Andersson, M.: Optimization of sequential filters. Technical Report LiTH-ISY-R-1797, Computer Vision Laboratory, Linköping University, S-581 83 Linköping, Sweden (1995)

    Google Scholar 

  7. Scharr, H., Körkel, S., Jähne, B.: Numerische Isotropieoptimierung von FIR-Filtern mittels Querglättung. In: Mustererkennung 1997 (Proc. DAGM 1997). Springer, Heidelberg (1997)

    Google Scholar 

  8. Knutsson, H., Andersson, M.: Multiple space filter design. In: Proc. SSAB Swedish Symposium on Image Analysis, Göteborg, Sweden (1998)

    Google Scholar 

  9. Elad, M., Teo, P., Hel-Or, Y.: Optimal filters for gradient-based motion estimation. In: Proc. Intern. Conf. on Computer Vision, ICCV 1999 (1999)

    Google Scholar 

  10. Robinson, D., Milanfar, P.: Fundamental performance limits in image registration. IEEE Transactions on Image Processing 13 (2004)

    Google Scholar 

  11. Mester, R.: A new view at differential and tensor-based motion estimation schemes. In: Michaelis, B. (ed.) Pattern Recognition 2003, Magdeburg, Germany. LNCS. Springer, Heidelberg (2003)

    Google Scholar 

  12. Bigün, J., Granlund, G.H.: Optimal orientation detection of linear symmetry. In: First International Conference on Computer Vision, ICCV, Washington, DC, pp. 433–438. IEEE Computer Society Press, Los Alamitos (1987)

    Google Scholar 

  13. Haussecker, H., Spies, H.: Motion. In: Handbook of Computer Vision and Applications, pp. 310–396 (1999)

    Google Scholar 

  14. Jähne, B., Scharr, H., Körkel, S.: Principles of filter design. In: Handbook of Computer Vision and Applications, pp. 125–153 (1999)

    Google Scholar 

  15. Mester, R.: On the mathematical structure of direction and motion estimation. In: Workshop on Physics in Signal and Image Processing, Grenoble, France (2003)

    Google Scholar 

  16. Mühlich, M., Mester, R.: A statistical unification of image interpolation, error concealment, and source-adapted filter design. In: Proc. Sixth IEEE Southwest Symposium on Image Analysis and Interpretation, Lake Tahoe, NV/U.S.A (2004)

    Google Scholar 

  17. Krajsek, K., Mester, R.: Wiener-optimized discrete filters for differential motion estimation. In: Jähne, B., Mester, R., Barth, E., Scharr, H. (eds.) IWCM 2004. LNCS, vol. 3417, pp. 30–41. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  18. Mester, R.: A system-theoretical view on local motion estimation. In: Proc. IEEE SouthWest Symposium on Image Analysis and Interpretation, Santa Fé (NM). IEEE Computer Society Press, Los Alamitos (2002)

    Google Scholar 

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Krajsek, K., Mester, R. (2005). Signal and Noise Adapted Filters for Differential Motion Estimation. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds) Pattern Recognition. DAGM 2005. Lecture Notes in Computer Science, vol 3663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550518_59

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  • DOI: https://doi.org/10.1007/11550518_59

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28703-2

  • Online ISBN: 978-3-540-31942-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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