Computational geometry: an introduction
Computational geometry: an introduction
Machine vision
International Journal of Computer Vision
Mirror and Point Symmetry under Perspective Skewing
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Affine Invariant Medial Axis and Skew Symmetry
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Affine plane curve evolution: a fully consistent scheme
IEEE Transactions on Image Processing
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A new definition of affine invariant skeletons for shape representation 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.