Ridges and ravines on a surface and segmentation of range images

Alexander G. Belyaev; Ilia A. Bogaevski; Tosiyasu L. Kunii

doi:10.1117/12.279655

Ridges and ravines on a surface and segmentation of range images

Alexander G. Belyaev, Ilia A. Bogaevski, Tosiyasu L. Kunii

Research output: Contribution to journal › Conference article › peer-review

9 Citations (Scopus)

Abstract

On a smooth generic surface we define ridges to be the local positive maxima of the maximal principal curvature along its associated curvature line and ravines to be the local negative minima of the minimal principal curvature along its associated curvature line. We investigate relationships between the ridges and ravines, singularities of the caustic generated by the surface normals, and singularities of the distance function from the surface. Stable numerical extraction of the ridges and ravines from range data is achieved via adaptive smoothing that preserves sharp ridges and ravines. We demonstrate applicability of the ridges and ravines for range image segmentation purposes.

Original language	English
Pages (from-to)	106-114
Number of pages	9
Journal	Proceedings of SPIE
Volume	3168
DOIs	https://doi.org/10.1117/12.279655
Publication status	Published - 20 Oct 1997
Event	Optical Science, Engineering and Instrumentation '97 - San Diego, United States Duration: 28 Jul 1997 → 28 Jul 1997

Keywords

Adaptive smoothing
Caustic singularities
Distance function singularities
Ravines
Ridges
Segmentation
Skeleton

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.279655

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title = "Ridges and ravines on a surface and segmentation of range images",

abstract = "On a smooth generic surface we define ridges to be the local positive maxima of the maximal principal curvature along its associated curvature line and ravines to be the local negative minima of the minimal principal curvature along its associated curvature line. We investigate relationships between the ridges and ravines, singularities of the caustic generated by the surface normals, and singularities of the distance function from the surface. Stable numerical extraction of the ridges and ravines from range data is achieved via adaptive smoothing that preserves sharp ridges and ravines. We demonstrate applicability of the ridges and ravines for range image segmentation purposes.",

keywords = "Adaptive smoothing, Caustic singularities, Distance function singularities, Ravines, Ridges, Segmentation, Skeleton",

author = "Belyaev, \{Alexander G.\} and Bogaevski, \{Ilia A.\} and Kunii, \{Tosiyasu L.\}",

year = "1997",

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doi = "10.1117/12.279655",

language = "English",

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pages = "106--114",

journal = "Proceedings of SPIE",

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note = "Optical Science, Engineering and Instrumentation '97 ; Conference date: 28-07-1997 Through 28-07-1997",

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TY - JOUR

T1 - Ridges and ravines on a surface and segmentation of range images

AU - Belyaev, Alexander G.

AU - Bogaevski, Ilia A.

AU - Kunii, Tosiyasu L.

PY - 1997/10/20

Y1 - 1997/10/20

N2 - On a smooth generic surface we define ridges to be the local positive maxima of the maximal principal curvature along its associated curvature line and ravines to be the local negative minima of the minimal principal curvature along its associated curvature line. We investigate relationships between the ridges and ravines, singularities of the caustic generated by the surface normals, and singularities of the distance function from the surface. Stable numerical extraction of the ridges and ravines from range data is achieved via adaptive smoothing that preserves sharp ridges and ravines. We demonstrate applicability of the ridges and ravines for range image segmentation purposes.

AB - On a smooth generic surface we define ridges to be the local positive maxima of the maximal principal curvature along its associated curvature line and ravines to be the local negative minima of the minimal principal curvature along its associated curvature line. We investigate relationships between the ridges and ravines, singularities of the caustic generated by the surface normals, and singularities of the distance function from the surface. Stable numerical extraction of the ridges and ravines from range data is achieved via adaptive smoothing that preserves sharp ridges and ravines. We demonstrate applicability of the ridges and ravines for range image segmentation purposes.

KW - Adaptive smoothing

KW - Caustic singularities

KW - Distance function singularities

KW - Ravines

KW - Ridges

KW - Segmentation

KW - Skeleton

UR - https://www.scopus.com/pages/publications/0003093518

U2 - 10.1117/12.279655

DO - 10.1117/12.279655

M3 - Conference article

AN - SCOPUS:0003093518

SN - 0277-786X

VL - 3168

SP - 106

EP - 114

JO - Proceedings of SPIE

JF - Proceedings of SPIE

T2 - Optical Science, Engineering and Instrumentation '97

Y2 - 28 July 1997 through 28 July 1997

ER -

Ridges and ravines on a surface and segmentation of range images

Abstract

Keywords

ASJC Scopus subject areas

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