Noise-resistant affine skeletons of planar curves

Conference Paper

A new definition of affine invariant skeletons for shape re- presentation is introduced. A point belongs to the affine skeleton if and only if it is equidistant from at least two points of the curve, with the distance being a minima and given by the areas between the curve and its corresponding chords. The skeleton is robust, eliminating the need for curve denoising. Previous approaches have used either the Euclidean or affine distances, thereby resulting in a much less robust computation. We propose a simple method to compute the skeleton and give examples with real images, and show that the proposed definition works also for noisy data. We also demonstrate how to use this method to detect affine skew symmetry.

Full Text

Duke Authors

Cited Authors

  • Betelu, S; Sapiro, G; Tannenbaum, A; Giblin, PJ

Published Date

  • January 1, 2000

Published In

Volume / Issue

  • 1842 /

Start / End Page

  • 742 - 754

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

International Standard Book Number 10 (ISBN-10)

  • 3540676856

Digital Object Identifier (DOI)

  • 10.1007/3-540-45054-8_48

Citation Source

  • Scopus