Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Local distances for distance transformations in two and three dimensions
Pattern Recognition Letters
The Euclidean distance transform in arbitrary dimensions
Pattern Recognition Letters
Discrete distance operator on rectangular grids
Pattern Recognition Letters
A unified linear-time algorithm for computing distance maps
Information Processing Letters
On digital distance transforms in three dimensions
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)
IEEE Computer Graphics and Applications
A Euclidean Distance Transform Using Grayscale Morphology Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Weighted distance transforms for volume images digitized in elongated voxel grids
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Identifying elephant photos by multi-curve matching
Pattern Recognition
Medial axis lookup table and test neighborhood computation for 3D chamfer norms
Pattern Recognition
Distance transformation on two-dimensional irregular isothetic grids
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
A novel algorithm for distance transformation on irregular isothetic grids
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Fast distance transformation on irregular two-dimensional grids
Pattern Recognition
Separable algorithms for distance transformations on irregular grids
Pattern Recognition Letters
Integer approximation of 3D chamfer mask coefficients using a scaling factor in anisotropic grids
Pattern Recognition Letters
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Chamfer distances are widely used in image analysis and many authors have investigated the computation of optimal chamfer mask coefficients. Unfortunately, these methods are not systematized: calculations have to be conducted manually for every mask size or image anisotropy. Since image acquisition (e.g. medical imaging) can lead to discrete anisotropic grids with unpredictable anisotropy value, automated calculation of chamfer mask coefficients becomes mandatory for efficient distance map computations. This article presents an automatic construction for chamfer masks of arbitrary sizes. This allows, first, to derive analytically the relative error with respect to the Euclidean distance, in any 3-D anisotropic lattice, and second, to compute optimal chamfer coefficients. In addition, the resulting chamfer map verifies discrete norm conditions.