Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
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
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
Distance transforms for three-dimensional grids with non-cubic voxels
Computer Vision and Image Understanding
Weighted distances based on neighborhood sequences for point-lattices
Discrete Applied Mathematics
Discrete Applied Mathematics
Weighted neighbourhood sequences in non-standard three dimensional grids: metricity and algorithms
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Weighted neighborhood sequences in non-standard three-dimensional grids: parameter optimization
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Digital distance functions on three-dimensional grids
Theoretical Computer Science
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By combining weighted distances and distances based on neighbourhood sequences, a new family of distance functions with potentially low rotational dependency is obtained. The basic theory for these distance functions, including functional form of the distance between two points, is presented for the face-centered cubic grid and the body-centered cubic grid. By minimizing an error function, the optimal combination of weights and neighbourhood sequence is derived.