Shape smoothing using media axia properties
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simulating the Grassfire Transform Using an Active Contour Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ridge points in Euclidean distance maps
Pattern Recognition Letters
Generating skeletons and centerlines from the distance transform
CVGIP: Graphical Models and Image Processing
On the Generation of Skeletons from Discrete Euclidean Distance Maps
IEEE Transactions on Pattern Analysis and Machine Intelligence
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
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The Euclidean skeleton is essential for general shape representation. This paper provides an efficient method to extract a well-connected Euclidean skeleton by a neighbor bisector decision (NED) rule on a vector distance map. The shortest vector which generates a pixel's distance is stored when calculating the distance map. A skeletal pixel is extracted by checking the vectors of the pixel and its 8 neighbors. This method succeeds in generating a well-connected Euclidean skeleton without any linking algorithm. A theoretical analysis and many experiments with images of different sizes also shows the NED rule works excellent. The average complexity of the method with the NED rule algorithm and the vector distance transform algorithm is linear in the number of the pixels.