Distances defined by neighborhood sequences
Pattern Recognition
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Computing distance transformations in convex and non-convex domains
Pattern Recognition
A note on “distance transformations in digital images"
Computer Vision, Graphics, and Image Processing
Finding local maxima in a pseudo-Euclidean distance transform
Computer Vision, Graphics, and Image Processing
An Efficient Uniform Cost Algorithm Applied to Distance Transforms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Octagonal distances for digital pictures
Information Sciences: an International Journal
Another comment on “a note on distance transformation in digital images”
CVGIP: Image Understanding
Local distances for distance transformations in two and three dimensions
Pattern Recognition Letters
Fast raster scan distance propagation on the discrete rectangular lattice
CVGIP: Image Understanding
Optimization of length measurements for isotropic distance transformations in three dimension
CVGIP: Image Understanding
The Euclidean distance transform in arbitrary dimensions
Pattern Recognition Letters
On the Generation of Skeletons from Discrete Euclidean Distance Maps
IEEE Transactions on Pattern Analysis and Machine Intelligence
On digital distance transforms in three dimensions
Computer Vision and Image Understanding
Regularity properties of distance transformations in image analysis
Computer Vision and Image Understanding
Distance-ordered homotopic thinning: a skeletonization algorithm for 3D digital images
Computer Vision and Image Understanding
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
A Method for Obtaining Skeletons Using a Quasi-Euclidean Distance
Journal of the ACM (JACM)
Fast Euclidean distance transformation by propagation using multiple neighborhoods
Computer Vision and Image Understanding
On approximating Euclidean metrics by digital distances in 2D and 3D
Pattern Recognition Letters
Medial axis for chamfer distances: computing look-up tables and neighbuorhoods in 2D or 3D
Pattern Recognition Letters
IEEE Computer Graphics and Applications
On Skeletonization in 4D Images
SSPR '96 Proceedings of the 6th International Workshop on Advances in Structural and Syntactical Pattern Recognition
Reversible surface skeletons of 3D objects by iterative thinning of distance transforms
Digital and image geometry
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Medial axis lookup table and test neighborhood computation for 3D chamfer norms
Pattern Recognition
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Discrete topology on N-dimensional square tessellated grids
Image and Vision Computing
Medial axis LUT computation for chamfer norms using H-polytopes
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Digital distance functions on three-dimensional grids
Theoretical Computer Science
Integer approximation of 3D chamfer mask coefficients using a scaling factor in anisotropic grids
Pattern Recognition Letters
Using microtomography, image analysis and flow simulations to characterize soil surface seals
Computers & Geosciences
Texturing and hypertexturing of volumetric objects
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Hyperspheres of weighted distances in arbitrary dimension
Pattern Recognition Letters
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A 3D distance image, or a distance transform, is an image where each feature voxel is labeled with the distance to its closest nonfeature voxel. Distance transforms are useful for many binary (shape) image analysis tasks. The distance transform can be computed by propagating local distance information between neighboring voxels. In a weighted distance transform, the local distances are optimized to make the distance transform more stable under rotation: We present results from optimization for 3D images when using from one to six local distances, all in the 5 × 5 × 5 neighborhood of a voxel.