Ridges, crests and sub-parabolic lines of evolving surfaces

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

Research output: Contribution to journalArticle

25 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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Bruce, J.W. ; Giblin, P.J. ; Tari, F. / Ridges, crests and sub-parabolic lines of evolving surfaces. In: International Journal of Computer Vision. 1996 ; Vol. 18, No. 3. pp. 195-210.
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Ridges, crests and sub-parabolic lines of evolving surfaces. / Bruce, J.W.; Giblin, P.J.; Tari, F.

In: International Journal of Computer Vision, Vol. 18, No. 3, 1996, p. 195-210.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Ridges, crests and sub-parabolic lines of evolving surfaces

AU - Bruce, J.W.

AU - Giblin, P.J.

AU - Tari, F.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

U2 - 10.1007/BF00123141

DO - 10.1007/BF00123141

M3 - Article

VL - 18

SP - 195

EP - 210

JO - International Journal of Computer Vision

JF - International Journal of Computer Vision

SN - 0920-5691

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ER -