Abstract
In this paper, we present the results of an application of attribute space morphological filters for tracking sub-atomic particles in magnetic fields. For this purpose, we have applied the concept of attribute space and connectivity to the binary images produced by charged particles passing through the tracking detector for the future experiment PANDA. This detector could be considered as an undirected graph with irregular neighbourhood relations. For this project, we rely only on the detector geometry. In addition, we have extended the graph to estimate the z-coordinates of the particle paths. The result is an O(n 2), proof of concept algorithm with a total error of approximately 0.17. The results look promising; however, more work needs to be done to make this algorithm applicable for the real-life case.
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References
Kurdy, M.B., Jeulin, D.: Directional mathematical morphology operations. In: Proceedings of the Fifth European Congress for Stereology, vol. 8(2), pp. 473–480 (1989)
Appleton, B., Talbot, H.: Efficient complete and incomplete path openings and closings. Image and Vision Computing 25(4), 416–425 (2007)
Wilkinson, M.H.F.: Attribute-space connectivity and connected filters. Image and Vision Computing 25(4), 426–435 (2007); International Symposium on Mathematical Morphology 2005
Toet, A., Heijmans, H.J.A.M., Nacken, P., Vincent, L.: Graph morphology. Journal of Visual Communication and Image Representation 3, 24–38 (1992)
Cousty, J., Najman, L., Dias, F., Serra, J.: Morphological filtering on graphs. Computer Vision and Image Understanding 117(4), 370–385 (2013); Special issue on Discrete Geometry for Computer Imagery
(PANDA Collaboration) Erni, W., Keshelashvili, I., Krusche, B., et al.: Technical design report for the panda straw tube tracker. The European Physical Journal AÂ 49, 25 (2013); Special Article Tools for Experiment and Theory
Ronse, C.: Set-theoretical algebraic approaches to connectivity in continuous or digital spaces. J. Math. Imag. Vis. 8, 41–58 (1998)
Serra, J.: Connectivity on complete lattices. J. Math. Imag. Vis. 9(3), 231–251 (1998)
Breen, E.J., Jones, R.: Attribute openings, thinnings and granulometries. Comp. Vis. Image Understand. 64(3), 377–389 (1996)
Wilkinson, M.H.F., Schut, F.: Digital image analysis of microbes: imaging, morphometry, fluorometry and motility techniques and applications, 1st edn. John Wiley & Sons Ltd., New York (1998)
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Babai, M., Kalantar-Nayestanaki, N., Messchendorp, J.G., Wilkinson, M.H.F. (2015). Tracking Sub-atomic Particles Through the Attribute Space. In: Benediktsson, J., Chanussot, J., Najman, L., Talbot, H. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2015. Lecture Notes in Computer Science(), vol 9082. Springer, Cham. https://doi.org/10.1007/978-3-319-18720-4_8
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DOI: https://doi.org/10.1007/978-3-319-18720-4_8
Publisher Name: Springer, Cham
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