Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Introduction to algorithms
Thinning Methodologies-A Comprehensive Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
A unified linear-time algorithm for computing distance maps
Information Processing Letters
On the Generation of Skeletons from Discrete Euclidean Distance Maps
IEEE Transactions on Pattern Analysis and Machine Intelligence
An efficient algorithm for the three-dimensional diameter problem
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Computational geometry.
Delaunay conforming iso-surface, skeleton extraction and noise removal
Computational Geometry: Theory and Applications
A linear-time algorithm for Euclidean feature transform sets
Information Processing Letters
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Elliptical distance transforms and applications
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
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We propose a new definition and an exact algorithm for the discrete bisector function, which is an important tool for analyzing and filtering Euclidean skeletons. We also introduce a new thinning method which produces homotopic discrete Euclidean skeletons. Unlike previouly proposed approaches, this method is still valid in 3D.