A 3D 6-subiteration thinning algorithm for extracting medial lines
Pattern Recognition Letters
A Sequential 3D Thinning Algorithm and Its Medical Applications
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
Directional 3D Thinning Using 8 Subiterations
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
A comparative discussion of distance transforms and simple deformations in digital image processing
Machine Graphics & Vision International Journal
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
3D topological thinning by identifying non-simple voxels
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Formulas for the number of (n-2)-gaps of binary objects in arbitrary dimension
Discrete Applied Mathematics
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Branch indices of points on curves (introduced by Urysohn and Menger) are of basic importance in the mathematical theory of curves, defined in Euclidean space. This paper applies the concept of branch points in the 3D orthogonal grid, motivated by the need to analyze curve-like structures in digital images. These curve-like structures have been derived as 3D skeletons (by means of thinning). This paper discusses approaches of defining branch indices for voxels on 3D skeletons, where the notion of a junction will play a crucial role. We illustrate the potentials of using junctions in 3D image analysis based on a recent project of analyzing the distribution of astrocytes in human brain tissue.