Distances defined by neighborhood sequences
Pattern Recognition
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Distance functions in digital geometry
Information Sciences: an International Journal
Computing distance transformations in convex and non-convex domains
Pattern Recognition
An Efficient Uniform Cost Algorithm Applied to Distance Transforms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
Isosurfaces on optimal regular samples
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
2D and 3D visibility in discrete geometry: an application to discrete geodesic paths
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Distances based on neighbourhood sequences in non-standard three-dimensional grids
Discrete Applied Mathematics
Weighted distances based on neighbourhood sequences
Pattern Recognition Letters
Topology Preserving Marching Cubes-like Algorithms on the Face-Centered Cubic Grid
ICIAP '07 Proceedings of the 14th International Conference on Image Analysis and Processing
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Weighted distances based on neighbourhood sequences in non-standard three-dimensional grids
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Weighted neighborhood sequences in non-standard three-dimensional grids: parameter optimization
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Weighted distances based on neighborhood sequences for point-lattices
Discrete Applied Mathematics
Discrete Applied Mathematics
Weighted neighborhood sequences in non-standard three-dimensional grids: parameter optimization
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
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Recently, a distance function was defined on the face-centered cubic and body-centered cubic grids by combining weights and neighbourhood sequences. These distances share many properties with traditional path-based distance functions, such as the city-block distance, but are less rotational dependent. We present conditions for metricity and algorithms to compute the distances.