Computing distance transformations in convex and non-convex domains
Pattern Recognition
Finding local maxima in a pseudo-Euclidean distance transform
Computer Vision, Graphics, and Image Processing
Topological segmentation of discrete surfaces
International Journal of Computer Vision
3D digital topology under binary transformation with applications
Computer Vision and Image Understanding
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
Surface Skeletons Detected on the D6 Distance Transform
Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
From a Closed Piecewise Geodesic to a Constriction on a Closed Triangulated Surface
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
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We introduce the distance transform for surfaces in 3D images, i.e., the distance transform where every voxel in the surface is labelled with its geodesic distance to the closest voxel on the border of the surface. Then, the distance transform is used to identify the set of centres of maximal geodesic discs in the surface. The centres of maximal geodesic discs can be used to give a compact representation of any surface. In particular, they can provide a useful representation of the surface skeleton of solid volume objects.