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A 3d 6-subiteration curve thinning algorithm based on β-simple points

dISCRETE APPLIEd MATHEMATICS 2005年第1-3期151卷 198-228页

作者： Lohou, C Bertrand, G Inst Univ Technol Dept Informat LLAIC F-43006 Puy Velay France Ensemble Univ Cezeaux F-63172 Aubiere France ESIEE Lab Algorithm & Architecture Syst Informat F-93162 Noisy Le Grand France

In a recent study C. Lohou, G. Bertrand [A new 3d 12-subiteration thinning algorithm based on P-simple points, in: International Workshop on Combinatorial linage Analysis, IWCIA 2,001, Philadelphia, PA, USA, ENTCS, vol. 46. 2001, pp. 39-58 Anew 3d 6-subiteration thinning algorithm based on P-simple points, in: International Conference on discrete Geometry for Computer Imagery, dGCI'2002, Bordeaux, France, ENTCS. vol. 2301, Springer, Berlin, 2(X)2, pp, 102-113., A 3d 12-subiteration thinning algorithm based on P-simple points. discrete Appl. Math. 139(1-3) (2004) 171-195.], we proposed a new methodology to build thinning algorithms based on the deletion of P-simple points. This methodology may permit to conceive a thinning algorithm A' from an existent thinning algorithm A, such that A' deletes at least all the points removed by A, while preserving the same end points (in particular, we have already proposed a 12-subiteration thinning algorithm C. Lohou, G. Bertrand [International Workshop on Combinatorial linage Analysis. IWCIA 2001, Philadelphia, PA, USA, ENTCS, vol. 46, 2001. pp. 39-58 A 3d 12-subiteration thinning algorithm based on P-simple points, discrete Appl. Math. 139(1-3) (2004) 171-195.]). In this paper, by applying this methodology. we propose a 6-subiteration curve thinning algorithm which deletes at least all the points removed by two 6-subiteration curve thinning algorithms: either the one proposed by Palagyi and Kuba [A 3d 6-subiteration thinning algorithm for extracting medial lines, Pattern Recogn. Lett. 19(7) (1998) 613-627.], or the one proposed by Gong and Bertrand [A simple parallel 3d thinning algorithm, in: International Conference on Pattern Recognition, Atlantic City, NJ, USA, 1990, pp. 188-190.]. (c) 2005 Elsevier B.V. All rights reserved.

关键词： digital topology P-simple points 3d thinning algorithms topology preservation

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