Journal of Mathematical Imaging and Vision

, Volume 4, Issue 4, pp 353–373

Ridges for image analysis

  • D. Eberly
  • R. Gardner
  • B. Morse
  • S. Pizer
  • C. Scharlach
Article

DOI: 10.1007/BF01262402

Cite this article as:
Eberly, D., Gardner, R., Morse, B. et al. J Math Imaging Vis (1994) 4: 353. doi:10.1007/BF01262402

Abstract

Representation of object shape by medial structures has been an important aspect of image analysis. Methods for describing objects in a binary image by medial axes are well understood. Many attempts have been made to construct similar medial structures for objects in gray scale images. In particular, researchers have studied images by analyzing the graphs of the intensity data and identifying ridge and valley structures on those surfaces. In this paper we review many of the definitions for ridges. Computational vision models require that medial structures should remain invariant under certain transformations of the spatial locations and intensities. For each ridge definition we point out which invariances the definition satisfies. We also give extensions of the concepts so that we can located-dimensional ridge structures withinn-dimensional images. A comparison of the ridge structures produced by the different definitions is given both by mathematical examples and by an application to a 2-dimensional MR image of a head.

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • D. Eberly
    • 1
  • R. Gardner
    • 2
  • B. Morse
    • 1
  • S. Pizer
    • 1
  • C. Scharlach
    • 2
    • 3
  1. 1.Department of Computer ScienceUniversity of North CarolinaChapel HillUSA
  2. 2.Department of MathematicsUniversity of North CarolinaChapel HillUSA
  3. 3.Fachbereich Mathematik MA 8-3Technische Universität BerlinBerlinGermany

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