International Journal of Computer Vision

, Volume 18, Issue 3, pp 195–210 | Cite as

Ridges, crests and sub-parabolic lines of evolving surfaces

  • J. W. Bruce
  • P. J. Giblin
  • F. Tari
Article
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Accepted:

Abstract

The ridge lines on a surface can be defined either via contact of the surface with spheres, or via extrema of principal curvatures along lines of curvature. Certain subsets of ridge lines called crest lines have been singled out by some authors for medical imaging applications. There is a related concept of sub-parabolic line on a surface, also defined via extrema of principal curvatures.

In this paper we study in detail the structure of the ridge lines, crest lines and sub-parabolic lines on a generic surface, and on a surface which is evolving in a generic (one-parameter) family. The mathematical details of this study are in Bruce et al. (1994c).

Keywords

Image Processing Artificial Intelligence Computer Vision Crest Medical Imaging 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • J. W. Bruce
    • 1
  • P. J. Giblin
    • 1
  • F. Tari
    • 1
  1. 1.Department of Pure MathematicsThe University of LiverpoolLiverpoolEngland

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