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On automatic selection of temporal scales in time-causal scale-space

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Algebraic Frames for the Perception-Action Cycle (AFPAC 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1315))

Abstract

This paper outlines a general framework for automatic selection in temporal scale-space representations, and shows how the suggested theory applies to motion detection and motion estimation.

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References

  1. E.H. Adelson and J.R. Bergen. “Spatiotemporal energy models for the perception of motion”. JOSA, A 2:284–299, 1985.

    Google Scholar 

  2. J. Arnspang. Motion Constraint Equations in Vision Calculus. Doctoral dissertation. Doctoral dissertation, Dept. Med. Phys. Physics, Univ. Utrecht, NL-3508 Utrecht, Netherlands, 1991.

    Google Scholar 

  3. [Barron et al., 1994] J. J. Barron; D. J. Fleet, and S. S. Beachemin. “Performance of Optical Flow Techniques”. IJCV, 12(1), 1994.

    Google Scholar 

  4. S.S. Beauchemin and J.L. Barron. “The computation of optical flow”. ACM Computing Surveys, 27:433–467, 1995.

    Article  Google Scholar 

  5. [Bergen et al., 1992] J. R. Bergen; P. Anandan; K. J. Hanna, and R. Hingorani. “Hierarchical Model-Based Motion Estimation.” In 2nd ECCV, 237–252, 1992.

    Google Scholar 

  6. [Bigün et al., 1991] J. Bigün; G. H. Granlund, and J. Wiklund. “Multidimensional orientation estimation with applications to texture analysis and optical flow”. IEEEPAMI, 13(8):775–790, 1991.

    Google Scholar 

  7. D. J. Fleet and K. Langley. “Recursive Filters for Optical Flow”. IEEE-PAMI, 17(1):61–67, 1995.

    Google Scholar 

  8. D. Fleet. Measurement of Image Velocity. Kluwer, 1992.

    Google Scholar 

  9. L. Florack and M. Nielsen. “The Intrinsic Structure of the Optic Flow Field”. Technical Report ERCIM-07/94-R033, 1994.

    Google Scholar 

  10. L. M. J. Florack. The Syntactical Structure of Scalar Images. PhD thesis., Dept. Med. Physics, Utrecht Univ., NL-3508 Utrecht, Netherlands, 1993.

    Google Scholar 

  11. N. Grzywacz and A.L. Yuille. “A model for the estimate of local image velocity by cells in the visual cortex”. Proc. Royal Soc. London, B 239:129–161, 1990.

    Google Scholar 

  12. D. Heeger. “Optical flow using spatiotemporal filters”. IJCV, 1:279–302, 1988.

    Article  Google Scholar 

  13. B. K. P. Horn and B. G. Schunck. “Determining Optical Flow”. AI, 17:185–204, 1981.

    Google Scholar 

  14. D. G. Jones and J. Malik. “A computational framework for determining stereo correspondences from a set of linear spatial filters”. In 2nd ECCV, 395–410, 1992.

    Google Scholar 

  15. T. Kanade and M. Okutomi. “A Stereo Matching Algorithm with an Adaptive Window: Theory and Experiment”. IEEE-PAMI, 16(9):920–932, 1994.

    Google Scholar 

  16. J. J. Koenderink and A. J. van Doorn. “Representation of Local Geometry in the Visual System”. Biol. Cyb., 55:367–375, 1987.

    Article  Google Scholar 

  17. J. J. Koenderink and A. J. van Doorn. “Generic neighborhood operators”. IEEE-PAMI, 14(6):597–605, 1992.

    Google Scholar 

  18. J. J. Koenderink. “The structure of images”. Biol. Cyb., 50:363–370, 1984.

    Article  Google Scholar 

  19. J. J. Koenderink. “Scale-Time”. Biol. Cyb., 58:159–162, 1988.

    Article  Google Scholar 

  20. T. Lindeberg and D. Fagerström. “Scale-Space with causal time direction”. In 4th ECCV, volume 1064, 229–240, Cambridge, UK, 1996.

    Google Scholar 

  21. T. Lindeberg. “Scale-Space for Discrete Signals”. IEEE-PAMI, 12(3):234–254, 1990.

    Google Scholar 

  22. T. Lindeberg. “Detecting salient blob-like image structures and their scales with a scale-space primal sketch: A method for focus-of-attention”. IJCV, 11(3):283–318, 1993.

    Article  Google Scholar 

  23. T. Lindeberg. “On Scale Selection for Differential Operators”. In 8th SCIA, 857–866, 1993.

    Google Scholar 

  24. T. Lindeberg. Scale-Space Theory in Computer Vision. Kluwer, Netherlands, 1994.

    Google Scholar 

  25. T. Lindeberg. “Edge detection and ridge detection with automatic scale selection”. In Proc. IEEE Comp. Soc. Conf. on Computer Vision and Pattern Recognition, 1996, 465–470, San Francisco, California, June 1996.

    Google Scholar 

  26. T. Lindeberg. “Feature Detection with Automatic Scale Selection”. Technical Report ISBN KTH/NA/P—96/18—SE, KTH, Stockholm, Sweden, 1996. To appear in IJCV.

    Google Scholar 

  27. T. Lindeberg. “A Scale. Selection Principle for Estimating Image Deformations”. Technical Report ISRN KTH/NA/P—96/16—SE, KTH, Stockholm, Sweden, 1996. To appear in IVC. Shortened version in 5th ICCV, 1995.

    Google Scholar 

  28. T. Lindeberg. “On Automatic Selection of Temporal Scales in Time-Causal Scale-Space”. in preparation, 1996.

    Google Scholar 

  29. T. Lindeberg. “Linear spatao-temporal scale-space”. In Proc. 1st Int. Conf. on Scale-Space Theory in Computer Vision, July 1997. (To appear).

    Google Scholar 

  30. B. D. Lukas and T. Kanade. “An iterative image registration technique with an application to stereo vision”. In Image Understanding Workshop, 1981.

    Google Scholar 

  31. [Pauwels et al., 1995] E. J. Pauwels; P. Fiddelaers; T. Moons, and L. J. van Gool. “An extended class of scale-invariant and recursive scale-space filters”. IEEE-PAMI, 17(7):691–701, 1995.

    Google Scholar 

  32. P. Werkhoven and J. J. Koenderink. “Extraction of motion parallax structure in the visual system”. Biol. Cyb., 1990.

    Google Scholar 

  33. A. P. Witkin. “Scale-space filtering”. In 8th IJCAI, 1019–1022, 1983.

    Google Scholar 

  34. A. L. Yuille and T. A. Poggio. “Scaling Theorems for ZeroCrossings”. IEEE-PAMI, 8:15–25, 1986.

    Google Scholar 

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Gerald Sommer Jan J. Koenderink

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© 1997 Springer-Verlag Berlin Heidelberg

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Lindeberg, T. (1997). On automatic selection of temporal scales in time-causal scale-space. In: Sommer, G., Koenderink, J.J. (eds) Algebraic Frames for the Perception-Action Cycle. AFPAC 1997. Lecture Notes in Computer Science, vol 1315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017862

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  • DOI: https://doi.org/10.1007/BFb0017862

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63517-8

  • Online ISBN: 978-3-540-69589-9

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