Ridges, crests and sub-parabolic lines of evolving surfaces

J.W. Bruce, P.J. Giblin, F. Tari

    Research output: Contribution to journalArticlepeer-review

    26 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)195-210
    JournalInternational Journal of Computer Vision
    Volume18
    Issue number3
    DOIs
    Publication statusPublished - 1996

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