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Diskrete R¨ aume. Matematicheskij Sbornik 2(44), 501–519 (1937) 2. : Thinning Algorithms on Rectangular, Hexagonal, and Triangular Arrays. Communications of the ACM 15(9), 827–837 (1972) 3. : Digital Geometry - Geometric Methods for Digital Picture Analysis. A. (2004) Thinning on Quadratic, Triangular, and Hexagonal Cell Complexes 25 4. : On the Problem of Determining Whether a Parallel Reduction Operator for N-dimensional Images Always Preserves Topology. In: Vision Geometry II. SPIE Proc. Series, vol.
The example presented in ﬁgure 4 shows that the Kovalevsky skeleton can contain cells p, q, r, pairwise distinct, such that p ≤ q ≤ r. In this case, the topological dimension, as deﬁned in  for Alexandroﬀ spaces, of the skeleton is equal to two. Acknowledgements. The authors thank the referees for their useful comments. Figure 1 is from ; the authors thank Alfredo Trejo for having implemented Kovalevsky’s algorithm on the hexagonal cell complex. References 1. : Diskrete R¨ aume. Matematicheskij Sbornik 2(44), 501–519 (1937) 2.
International Journal of Pattern Recognition and Artiﬁcial Intelligence 9, 635–662 (1995) Experimental Comparison of Continuous and Discrete Tangent Estimators 37 6. : Optimal blurred segments decomposition of noisy shapes in linear times. Computers and Graphics 30(1), 30–36 (2006) 7. : Optimal time computation of the tangent of a discrete curve: Application to the curvature. , Perroton, L. ) DGCI 1999. LNCS, vol. 1568, pp. 31–40. Springer, Heidelberg (1999) 8. : On discrete moments of unbounded order.
Analytic functions. Blazejewko 1982. Proceedings of a conference by J. Lawrynowicz