Abstract
This paper presents a new streaming algorithm for 1-D morphological opening and closing transformations on 2-D support. Thanks to a recursive computation technique, the algorithm processes an image in constant time irrespective of the Structuring Element (SE) size, with a minimal latency and very low memory requirements, supporting various input data types. It reads and writes data strictly sequentially in the same (horizontal) scan order for both the horizontal and vertical SE. Aforementioned properties allow an efficient implementation in embedded hardware opening a new opportunity of a parallel computation.
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Dokládal, P., Dokládalová, E.: Grey-scale morphology with spatially-variant rectangles in linear time. In: Blanc-Talon, J., Bourennane, S., Philips, W., Popescu, D., Scheunders, P. (eds.) ACIVS 2008. LNCS, vol. 5259, pp. 674–685. Springer, Heidelberg (2008)
Gil, J., Kimmel, R.: Efficient dilation, erosion, opening, and closing algorithms. IEEE Trans. Pattern Anal. Mach. Intell. 24(12), 1606–1617 (2002)
van Herk, M.: A fast algorithm for local minimum and maximum filters on rectangular and octagonal kernels. Pattern Recogn. Lett. 13(7), 517–521 (1992)
Lemire, D.: Streaming maximum-minimum filter using no more than three comparisons per element. Nordic Journal of Computing 13(4), 328–339 (2006)
Matheron, G.: Random sets and integral geometry [by] G. Matheron. Wiley, New York (1974)
Menotti-Gomes, D., Najman, L., de Albuquerque Araújo, A.: 1D Component tree in linear time and space and its application to gray-level image multithresholding. In: Proceedings of 8th ISMM, vol. 1, pp. 437–448. INPE (2007), http://ismm.dpi.inpe.br/2007/
Morard, V., Dokladal, P., Decenciere, E.: Linear openings in arbitrary orientation in O(1) per pixel. In: ICASSP 2011: Acoustics, Speech, and Signal Processing (2011)
Serra, J.: Image Analysis and Mathematical Morphology. Academic Press, Inc., Orlando (1983)
Van Droogenbroeck, M., Buckley, M.J.: Morphological erosions and openings: Fast algorithms based on anchors. J. Math. Imaging Vis. 22(2-3), 121–142 (2005)
Vincent, L.: Granulometries and opening trees. Fundam. Inform. 41(1-2), 57–90 (2000)
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Bartovsky, J., Dokladal, P., Dokladalova, E., Bilodeau, M. (2011). Fast Streaming Algorithm for 1-D Morphological Opening and Closing on 2-D Support. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds) Mathematical Morphology and Its Applications to Image and Signal Processing. ISMM 2011. Lecture Notes in Computer Science, vol 6671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21569-8_26
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DOI: https://doi.org/10.1007/978-3-642-21569-8_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21568-1
Online ISBN: 978-3-642-21569-8
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