Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Computing distance transformations in convex and non-convex domains
Pattern Recognition
Thinning Methodologies-A Comprehensive Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detection of curved and straight segments from gray scale topography
CVGIP: Image Understanding
New geodesic distance transforms for gray-scale images
Pattern Recognition Letters
Geodesic Saliency of Watershed Contours and Hierarchical Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Order independent homotopic thinning for binary and grey tone anchored skeletons
Pattern Recognition Letters
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Journal of Visual Languages and Computing
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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A gray-tone image including perceptually meaningful elongated regions can be represented by a set of line patterns, the skeleton, consisting of pixels having different gray-values and mostly placed along the central positions of the regions themselves. In this paper, the image is considered as piecewise constant and a labeled image is created by computing the geodesic distance transformation for each image subset with constant gray-value. A sequential skeletonization process is performed on the labeled image, by employing topology preserving removal operations repeatedly applied to subsets with increasing label value. To obtain a one-pixel-thick skeleton, the topology preservation constraint is disregarded in correspondence with certain configurations in the gray-tone image which would otherwise constitute irreducible patterns.