TY - GEN
T1 - Noise-resistant affine skeletons of planar curves
AU - Betelu, Santiago
AU - Sapiro, Guillermo
AU - Tannenbaum, Allen
AU - Giblin, Peter J.
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2000.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1007/3-540-45054-8_48
DO - 10.1007/3-540-45054-8_48
M3 - Conference contribution
AN - SCOPUS:84944210244
SN - 3540676856
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 742
EP - 754
BT - Computer Vision - ECCV 2000 - 6th European Conference on Computer Vision, Proceedings
A2 - Vernon, David
PB - Springer Verlag
T2 - 6th European Conference on Computer Vision, ECCV 2000
Y2 - 26 June 2000 through 1 July 2000
ER -