Noise-resistant affine skeletons of planar curves
Publication
, Conference
Betelu, S; Sapiro, G; Tannenbaum, A; Giblin, PJ
Published in: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
January 1, 2000
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.
Duke Scholars
Published In
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
DOI
EISSN
1611-3349
ISSN
0302-9743
ISBN
3540676856
Publication Date
January 1, 2000
Volume
1842
Start / End Page
742 / 754
Related Subject Headings
- Artificial Intelligence & Image Processing
- 46 Information and computing sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Betelu, S., Sapiro, G., Tannenbaum, A., & Giblin, P. J. (2000). Noise-resistant affine skeletons of planar curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1842, pp. 742–754). https://doi.org/10.1007/3-540-45054-8_48
Betelu, S., G. Sapiro, A. Tannenbaum, and P. J. Giblin. “Noise-resistant affine skeletons of planar curves.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 1842:742–54, 2000. https://doi.org/10.1007/3-540-45054-8_48.
Betelu S, Sapiro G, Tannenbaum A, Giblin PJ. Noise-resistant affine skeletons of planar curves. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2000. p. 742–54.
Betelu, S., et al. “Noise-resistant affine skeletons of planar curves.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1842, 2000, pp. 742–54. Scopus, doi:10.1007/3-540-45054-8_48.
Betelu S, Sapiro G, Tannenbaum A, Giblin PJ. Noise-resistant affine skeletons of planar curves. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2000. p. 742–754.
Published In
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
DOI
EISSN
1611-3349
ISSN
0302-9743
ISBN
3540676856
Publication Date
January 1, 2000
Volume
1842
Start / End Page
742 / 754
Related Subject Headings
- Artificial Intelligence & Image Processing
- 46 Information and computing sciences