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摘要: Digital distance transforms in 3D have been considered for more than 10 years. However, not all of the complexities involved unravelled. In this paper complete geometry and equations based on a 3 × neighborhood local distances are given. A new type valid (DTs) discovered. The optimal solutions computed, where optimality is defined as minimizing maximum difference from true Euclidean distance, thus making DTs direction independent possible. well-known ?3, 4, 5? DT confirmed most practical weighted DT, set to between neighbors sharing an area, 4 edge, 5 point.