On the computation of the affine skeletons of planar curves and the detection of skew symmetry

Santiago Betelu; Guillermo Sapiro; Allen Tannenbaum; Peter J. Giblin

doi:10.1016/S0031-3203(00)00045-5

On the computation of the affine skeletons of planar curves and the detection of skew symmetry

Santiago Betelu, Guillermo Sapiro, Allen Tannenbaum, Peter J. Giblin

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we discuss a new approach to compute discrete skeletons of planar shapes which is based on affine distances, being therefore affine invariant. The method works with generic curves that may contain concave sections, A dynamical interpretation of the affine skeleton construction, based on curve evolution, is discussed as well. We propose an efficient implementation of the method and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.

Original language	English (US)
Pages (from-to)	943-952
Number of pages	10
Journal	Pattern Recognition
Volume	34
Issue number	5
DOIs	https://doi.org/10.1016/S0031-3203(00)00045-5
State	Published - May 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

Keywords

Affine invariant
Medial axis
Planar skeleton
Shape
Symmetry

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10.1016/S0031-3203(00)00045-5

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abstract = "In this paper we discuss a new approach to compute discrete skeletons of planar shapes which is based on affine distances, being therefore affine invariant. The method works with generic curves that may contain concave sections, A dynamical interpretation of the affine skeleton construction, based on curve evolution, is discussed as well. We propose an efficient implementation of the method and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.",

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AU - Betelu, Santiago

AU - Sapiro, Guillermo

AU - Tannenbaum, Allen

AU - Giblin, Peter J.

PY - 2001/5

Y1 - 2001/5

N2 - In this paper we discuss a new approach to compute discrete skeletons of planar shapes which is based on affine distances, being therefore affine invariant. The method works with generic curves that may contain concave sections, A dynamical interpretation of the affine skeleton construction, based on curve evolution, is discussed as well. We propose an efficient implementation of the method and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.

AB - In this paper we discuss a new approach to compute discrete skeletons of planar shapes which is based on affine distances, being therefore affine invariant. The method works with generic curves that may contain concave sections, A dynamical interpretation of the affine skeleton construction, based on curve evolution, is discussed as well. We propose an efficient implementation of the method and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.

KW - Affine invariant

KW - Medial axis

KW - Planar skeleton

KW - Shape

KW - Symmetry

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IS - 5

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On the computation of the affine skeletons of planar curves and the detection of skew symmetry

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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