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Part of the book series: Computational Imaging and Vision ((CIVI,volume 2))

Abstract

This paper treats the application of the flat zone approach for color images. For gray-level images, the flat zone approach was presented in (Crespo & Serra 1993) as a segmentation approach that imposes an inclusion relationship between the flat zones (or piecewise-constant regions) of the input image and the regions of the output partition. That is, a flat zone segmentation method behaves like a connected operator. Color images are formed by several (a priori) independent bands. In this paper we discuss how color images need a different treatment from that used for gray-level images. For gray-level images, the flat zone inclusion relationship preserves the shapes of the features that are observed in the input. On the other hand, for color images this desirable shape-preservation effect would not be obtained by forcing the inclusion relationship between the flat zones of each band and the regions of the output partition. A mask that contains the important regions of the color image, computed for each color band, is employed to restrict the flat zone inclusion relationship to those flat zones belonging to the mask. As in the gray-level case, the presented color segmentation method uses a hierarchical waiting queue algorithm that makes it computationally efficient.

Formerly at the School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

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References

  • Beucher, S. & Meyer, F. (1993), The morphological approach to segmentation: the watershed transformation, in E. Dougherty, ed., `Mathematical morphology in image processing’, Marcel Dekker, chapter 12, pp. 433–481

    Google Scholar 

  • Birkhoff, G. (1984), Lattice Theory, American Mathematical Society, Providence.

    Google Scholar 

  • Crespo, J. (1993), Morphological Connected Filters and Intra-Region Smoothing for Image Seg-mentation, PhD thesis, School of Electrical Engineering, Georgia Institute of Technology.

    Google Scholar 

  • Crespo, J. & Serra, J.(1993), Morphological pyramids for image coding, in`Proceedings of SPIECambridge

    Book  Google Scholar 

  • Crespo, J., Serra, J. & Schafer, R. (1993), Image segmentation using connected filters, in `Workshop on Mathematical Morphology’

    Google Scholar 

  • Digabel, H. & Lantuéjoul, C. (1977), Iterative algorithms, in Prot. 2nd European Symp. Quantitative Analysis of Microstructures in Material Science, Biology and Medicine’

    Google Scholar 

  • Meyer, F. (1986), Sequential algorithms for cell segmentation, inProt. International Symposium on Clinical Cytometry and Histometry’

    Google Scholar 

  • Meyer, F. (1990), Algorithmes à base de files d’attente hiérarchique, Technical Report NT46/90/MM, Ecole des Mines de Paris, Centre de Morphologie Mathématique.

    Google Scholar 

  • Meyer, F. (1992), Color image segmentationin IEE Fourth International Conference on Image Processing and its Applications’

    Google Scholar 

  • Serra, J. (1982), Mathematical Morphology. Volume ILondon: Academic Press

    Google Scholar 

  • Serra, J. (1992), Mathematical Morphology in Image ProcessingDekker, chapter Anamorphoses and Function Lattices

    Book  Google Scholar 

  • Serra, J. & Salembier, P. (1993), Connected operators and pyramids, in `Proceedings of SPIE, San Diego’

    Google Scholar 

  • Serra, J., ed. (1988), Mathematical Morphology. Volume II: theoretical advances, London: Academic Press.

    Google Scholar 

  • Soille, P. (1992), Morphologie Mathématique: Du Relief à la Dimensionalité — Algorithmes et Méthodes—, PhD thesis, Université Catholique de Louvain.

    Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Crespo, J., Schafer, R.W. (1994). The Flat Zone Approach and Color Images. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_12

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  • DOI: https://doi.org/10.1007/978-94-011-1040-2_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4453-0

  • Online ISBN: 978-94-011-1040-2

  • eBook Packages: Springer Book Archive

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