Abstract
Morphological attribute filters have been widely exploited for characterizing the spatial structures in remote sensing images. They have proven their effectiveness especially when computed in multi-scale architectures, such as for Attribute Profiles. However, the question how to choose a proper set of filter thresholds in order to build a representative profile remains one of the main issues. In this paper, a novel methodology for the selection of the filters’ parameters is presented. A set of thresholds is selected by analysing granulometric characteristic functions, which provide information on the image decomposition according to a given measure. The method exploits a tree (i.e., min-, max- or inclusion-tree) representation of an image, which allows us to avoid the filtering steps usually required prior the threshold selection, making the process computationally effective. The experimental analysis performed on two real remote sensing images shows the effectiveness of the proposed approach in providing representative and non-redundant multi-level image decompositions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dalla Mura, M., Benediktsson, J.A., Waske, B., Bruzzone, L.: Morphological Attribute Profiles for the Analysis of Very High Resolution Images. IEEE Transaction on Geoscience and Remote Sensing 48, 3747–3762 (2010)
Breen, E.J., Jones, R.: Attribute openings, thinnings, and granulometries. Computer Vision and Image Understanding 64(3), 377–389 (1996)
Salembier, P., Serra, J.: Flat zones filtering, connected operators, and filters by reconstruction. IEEE Transactions on Image Processing 4, 1153–1160 (1995)
Salembier, P., Oliveras, A., Garrido, L.: Antiextensive connected operators for image and sequence processing. IEEE Transacions Image Processing 7, 555–570 (1998)
Falco, N., Dalla Mura, M., Bovolo, F., Benediktsson, J.A., Bruzzone, L.: Change Detection in VHR Images Based on Morphological Attribute Profiles. IEEE Geoscience and Remote Sensing Letters 10(3), 636–640 (2013)
Mahmood, Z., Thoonen, G., Scheunders, P.: Automatic threshold selection for morphological attribute profiles. In: IEEE International Geoscience and Remote Sensing Symposium (IGARSS), pp. 4946–4949 (July 2012)
Franchi, G., Angulo, J.: Comparative study on morphological principal component analysis of hyperspectral images. In: Proceedings of 6th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, WHISPERS (2014)
Soille, P.: Morphological image analysis: principles and applications, vol. 49. Springer (2003)
McZgee, V.E., Carleton, W.T.: Piecewise regression. Journal of the American Statistical Association 65(331), 1109–1124 (1970)
Najman, L., Talbot, H.: Mathematical Morphology: from theory to applications, 520p. ISTE-Wiley (2010) ISBN: 9781848212152
Urbach, R., Roerdink, J.B.T.M., Wilkinson, M.H.F.: Connected shape-size pattern spectra for rotation and scale-invariant classification of gray-scale images.. IEEE Trans on PALM, 272–285 (2007), doi:10.1109/TPAMI.2007.28
Caselles, V., Monasse, P.: Geometric Description of Images as Topographic Maps, vol. 1984. Springer, Heidelberg (2010)
Géraud, T., Carlinet, E., Crozet, S., Najman, L.: A quasi-linear algorithm to compute the tree of shapes of n-D images. In: International Symposium on Mathematical Morphology, pp. 97–108 (2013)
Dalla Mura, M., Benediktsson, J.A., Bruzzone, L.: Self-dual attribute profiles for the analysis of remote sensing images. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds.) ISMM 2011. LNCS, vol. 6671, pp. 320–330. Springer, Heidelberg (2011)
Cavallaro, G., Mura, M.D., Benediktsson, J.A., Bruzzone, L.: A comparison of self-dual attribute profiles based on different filter rules for classification. In: Proceedings of IEEE International Geoscience and Remote Sensing Symposium (IGARSS), pp. 1265–1268 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Cavallaro, G., Falco, N., Dalla Mura, M., Bruzzone, L., Benediktsson, J.A. (2015). Automatic Threshold Selection for Profiles of Attribute Filters Based on Granulometric Characteristic Functions. 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_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-18720-4_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18719-8
Online ISBN: 978-3-319-18720-4
eBook Packages: Computer ScienceComputer Science (R0)