Abstract
We present a new algorithm for the skeletonization of shapes lying on surface meshes, which is based on a thinning scheme with a granularity that is twice as fine as that of other thinning methods, since the proposed approach uses dual-primal iterations in the region of interest to perform the skeleton extraction. This dual operator is built on specific construction rules, and it is applied until idempotency, which provides a better geometric positioning of the skeleton compared to other thinning methods. Moreover, the skeleton has the property of ensuring the same topological guarantees as other homotopic thinning approaches: the skeleton is thin, connected and can include Y-branches and cycles if the input region contains holes.
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References
Arcelli, C., di Baja, G.S.: Euclidean skeleton via centre-of-maximal-disc extraction. Image Vis. Comput. 11(3), 163–173 (1993)
Au, O.K.-C., Tai, C.-L., Chu, H.-K., Cohen-Or, D., Lee, T.-Y.: Skeleton extraction by mesh contraction. ACM Trans. Graph. 27(3), 1–10 (2008)
Delame, T., Kustra, J., Telea, A.: Structuring 3D medial skeletons: a comparative study. In: Symposium on Vision, Modeling and Visualization (2016)
Gall, J., Stoll, C., De Aguiar, E., Theobalt, C., Rosenhahn, B., Seidel, H.P.: Motion capture using joint skeleton tracking and surface estimation. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2009), pp. 1746–1753. IEEE Computer Society (2009)
Kudelski, D., Mari, J.-L., Viseur, S.: Extraction of feature lines with connectivity preservation. In: Computer Graphics International (CGI 2011). Electronic Proceedings (2011)
Kudelski, D., Viseur, S., Mari, J.-L.: Skeleton extraction of vertex sets lying on arbitrary triangulated 3D meshes. In: Gonzalez-Diaz, R., Jimenez, M.-J., Medrano, B. (eds.) DGCI 2013. LNCS, vol. 7749, pp. 203–214. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-37067-0_18
Kudelski, D., Viseur, S., Scrofani, G., Mari, J.-L.: Feature line extraction on meshes through vertex marking and 2D topological operators. Int. J. Image Graph. 11(4), 531–548 (2011)
Lee, T.C., Kashyap, R.L., Chu, C.N.: Building skeleton models via 3-D medial surface/axis thinning algorithms. Graph. Models Image Process. 56(6), 462–478 (1994)
Mari, J.-L.: Surface sketching with a voxel-based skeleton. In: Brlek, S., Reutenauer, C., Provençal, X. (eds.) DGCI 2009. LNCS, vol. 5810, pp. 325–336. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-04397-0_28
Rössl, C., Kobbelt, L., Seidel, H.-P.: Extraction of feature lines on triangulated surfaces using morphological operators. In: AAAI Spring Symposium on Smart Graphics, vol. 00–04, pp. 71–75 (2000)
Saha, P.K., Borgefors, G., di Baja, G.S.: A survey on skeletonization algorithms and their applications. Pattern Recogn. Lett. 76, 3–12 (2016)
Tagliasacchi, A., Delame, T., Spagnuolo, M., Amenta, N., Telea, A.: 3D skeletons: a state-of-the-art report. Comput. Graph. Forum 35, 573–597 (2016). Wiley Online Library
Yu, K., Wu, J., Zhuang, Y.: Skeleton-Based Recognition of Chinese Calligraphic Character Image. In: Huang, Y.-M.R., et al. (eds.) PCM 2008. LNCS, vol. 5353, pp. 228–237. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-89796-5_24
Zhang, T.Y., Suen, C.Y.: A fast parallel algorithm for thinning digital patterns. Commun. ACM 27(3), 236–239 (1984)
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Lobello, R.U., Mari, JL. (2019). Dual-Primal Skeleton: A Thinning Scheme for Vertex Sets Lying on a Surface Mesh. In: Burgeth, B., Kleefeld, A., Naegel, B., Passat, N., Perret, B. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2019. Lecture Notes in Computer Science(), vol 11564. Springer, Cham. https://doi.org/10.1007/978-3-030-20867-7_6
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DOI: https://doi.org/10.1007/978-3-030-20867-7_6
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