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On approximating Euclidean metrics by digital distances in 2D and 3D
2000
Pattern Recognition Letters
In this paper a geometric approach is suggested to ®nd the closest approximation to Euclidean metric based on geometric measures of the digital circles in 2D and the digital spheres in 3D for the generalized octagonal distances. First we show that the vertices of the digital circles (spheres) for octagonal distances can be suitably approximated as a function of the number of neighborhood types used in the sequence. Then we use these approximate vertex formulae to compute the geometric features
doi:10.1016/s0167-8655(00)00022-2
fatcat:otcdlou4xbflrpapiz3qfsi3ji