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Journal of Mathematical Imaging and Vision

, Volume 17, Issue 2, pp 109–129 | Cite as

Shape Connectivity: Multiscale Analysis and Application to Generalized Granulometries

  • Costas S. Tzafestas
  • Petros Maragos
Article

Abstract

This paper develops a multiscale connectivity theory for shapes based on the axiomatic definition of new generalized connectivity measures, which are obtained using morphology-based nonlinear scale-space operators. The concept of connectivity-tree for hierarchical image representation is introduced and used to define generalized connected morphological operators. This theoretical framework is then applied to establish a class of generalized granulometries, implemented at a particular problem concerning soilsection image analysis and evaluation of morphological properties such as size distributions. Comparative results demonstrate the power and versatility of the proposed methodology with respect to the application of typical connected operators (such as reconstruction openings). This multiscale connectivity analysis framework aims at a more reliable evaluation of shape/size information within complex images, with particular applications to generalized granulometries, connected operators, and segmentation.

shape analysis mathematical morphology multiscale connectivity measures connected operators reconstruction generalized granulometries soilsection image analysis connectivity tree hierarchical image representations partitions 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Costas S. Tzafestas
    • 1
  • Petros Maragos
    • 1
  1. 1.School of Electrical and Computer Engineering, Division of Signals, Control and RoboticsNational Technical University of AthensAthensGreece

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