Abstract
Quasi-flat zones enable the computation of homogeneous image regions with respect to one or more arbitrary criteria, such as pixel intensity. They are most often employed in simplification and segmentation, while multiple strategies exist for their application to color data as well. In this paper we explore a vector ordering based alternative method for computing color quasi-flat zones, which enables the use of vectorial α and ω parameters. The interest of this vectorial strategy w.r.t marginal quasi-flat zones is illustrated both qualitatively and quantitatively by means of color simplification and segmentation experiments.
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
Angulo, J., Serra, J.: Color segmentation by ordered mergings. In: Proceedings of the IEEE International Conference on Image Processing, Barcelona, Spain, pp. 125–128 (September 2003)
Aptoula, E., Lefèvre, S.: A comparative study on multivariate mathematical morphology. Pattern Recognition 40(11), 2914–2929 (2007)
Aptoula, E., Lefèvre, S.: Alpha-trimmed lexicographical extrema for pseudo morphological image analysis. Journal of Visual Communication and Image Representation 19(3), 165–174 (2008)
Brunner, D., Soille, P.: Iterative area filtering of multichannel images. Image and Vision Computing 25(8), 1352–1364 (2007)
Carleer, A., Debeir, O., Wolff, E.: Assessment of very high spatial resolution satellite image segmentations. Photogrammetric Engineering & Remote Sensing 71(11), 1285–1294 (2005)
Derivaux, S., Forestier, G., Wemmert, C., Lefèvre, S.: Supervised image segmentation using watershed transform, fuzzy classification and evolutionary computation. Pattern Recognition Letters 31(15), 2364–2374 (2010)
Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings of the 8th International Conference on Computer Vision, Vancouver, Canada, vol. 2, pp. 416–425 (July 2001)
Meyer, F.: The levelings. In: Proceedings of the International Symposium on Mathematical Morphology, Amsterdam, The Netherlands, pp. 199–206 (June 1998)
Ouzounis, G.K., Soille, P.: Pattern spectra from partition pyramids and hierarchies. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds.) ISMM 2011. LNCS, vol. 6671, pp. 108–119. Springer, Heidelberg (2011)
Serra, J. (ed.): Image Analysis and Mathematical Morphology, vol. 2: Theoretical Advances, 1st edn. Academic Press (February 1988)
Soille, P.: Constrained connectivity for hierarchical image partitioning and simplification. IEEE Trans. on Pattern Analysis and Machine Intelligence 30(7), 1132–1145 (2008)
Weber, J.: Segmentation morphologique interactive pour la fouille de séquences vidéo. Ph.D. thesis, Université de Strasbourg, France (2011)
Weber, J., Lefèvre, S.: Fast quasi-flat zones filtering using area threshold and region merging. Journal of Visual Communication and Image Representation 24(3), 397–409 (2013)
Weber, J., Lefèvre, S., Gançarski, P.: Interactive video segmentation based on quasi-flat zones. In: International Symposium on Image and Signal Processing and Analysis (ISPA), Dubrovnik, Croatia, pp. 265–270 (September 2011)
Zanoguera, F.: Segmentation interactive d’images fixes et de séquences vidéo basée sur des hierarchies de partitions. Ph.D. thesis, Ecole des Mines de Paris (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aptoula, E., Weber, J., Lefèvre, S. (2013). Vectorial Quasi-flat Zones for Color Image Simplification. In: Hendriks, C.L.L., Borgefors, G., Strand, R. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2013. Lecture Notes in Computer Science, vol 7883. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38294-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-38294-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38293-2
Online ISBN: 978-3-642-38294-9
eBook Packages: Computer ScienceComputer Science (R0)