Abstract
Using the 3-dimensional structure tensor, dense displacement vector fields (DVF) can be computed with subpixel accuracy. The approach is based on the detection of linear symmetries and the corresponding orientation angle within a local spatio-temporal neighborhood. The proposed technique is well suited to be applied within a multiresolution framework in order to avoid corresponence problem errors. In this paper the implementation of the tensor approach will be introduced together with an error analysis. The performance of the technique will be proved with test sequences as well as with real scientific applications.
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References
Bigün, J., Granlund, G. H.: Optimal Orientation Detection of Linear Symmetry. Proc. First Intern. Conf. on Comp. Vision, ICCV, London, June 8–11, 1987
Haußecker, H., Jähne, B.: Effiziente Filterverfahren auf Mehrgitter—Datenstrukturen. Bildverarbeitung 95’: Forschen, Entwickeln, Anwenden, Symposium, 29. 11. —01. 12. 95, pp. 43–57, Technische Akademie Esslingen, R. J. Ahlers, Hrsg., 1995
Haußecker H., Jähne B.: A Tensor Approach for Local Structure Analysis in Multidimensional Images. Proc. 3D Image Analysis and Synthesis ‘86, B. Girod,…, (ed.), November 18–19, Erlangen, Germany, Sankt Augustin: Infix, pp. 171–178, 1996
Jähne B.: Spatio-Temporal Image Processing, Theory and Scientific Applications. Lecture Notes in Computer Science, 751, Springer, Heidelberg, 1995
Jähne B.: Digital Image Processing: Concepts, Algorithms and Scientific Applications. 4th ed., Springer, Heidelberg, 1997
Kass, M., Witkin, A.: Analyzing Oriented Patterns. Comp. Vision Graphics and Image Proc., 37, pp. 362–385, 1987
Knutsson, H.: Representing Local Structure using Tensors. 6th Scandinavian Conf. Image Analysis, Oulu, Finland, pp. 244–251. 1989
Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P.: Numerical recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, 1992
Rao, A. R.: A Taxonomy for Texture Description and Identification. Springer, 1990
Scharr, H., Körkel, S., Jähne, B.: Numerische Isotropieoptimierung von FIR Filtern mittels Querglättung. This volume, 1997
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Haußecker, H., Jähne, B. (1997). A Tensor Approach for Precise Computation of Dense Displacement Vector Fields. In: Paulus, E., Wahl, F.M. (eds) Mustererkennung 1997. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60893-3_20
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DOI: https://doi.org/10.1007/978-3-642-60893-3_20
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