Abstract
Thinning is an iterative layer by layer erosion for extracting skeleton. This paper presents an efficient parallel 3D thinning algorithm which produces medial surfaces. A three–subiteration strategy is proposed: the thinning operation is changed from iteration to iteration with a period of three according to the three deletion directions.
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Arcelli, C., Sanniti di Baja, G., Serino, L.: New removal operators for surface skeletonization. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds.) DGCI 2006. LNCS, vol. 4245, pp. 555–566. Springer, Heidelberg (2006)
Bertrand, G., Aktouf, Z.: A 3D thinning algorithms using subfields. In: Proc. SPIE Conf. on Vision Geometry III, vol. 2356, pp. 113–124 (1994)
Bertrand, G.: A parallel thinning algorithm for medial surfaces. Pattern Recognition Letters 16, 979–986 (1995)
Blum, H.: A transformation for extracting new descriptors of shape. Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)
Gong, W.X., Bertrand, G.: A simple parallel 3D thinning algorithm. In: Proc. 10th Int. Conf. on Pattern Recognition, pp. 188–190 (1990)
Hall, R.W.: Parallel connectivity–preserving thinning algorithms. In: Kong, T.Y., Rosenfeld, A. (eds.) Topological algorithms for digital image processing, pp. 145–179. Elsevier Science, Amsterdam (1996)
Kong, T.Y., Rosenfeld, A.: Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing 48, 357–393 (1989)
Lee, T., Kashyap, R.L., Chu, C.: Building skeleton models via 3–D medial surface/axis thinning algorithms. CVGIP: Graphical Models and Image Processing 56, 462–478 (1994)
Malandain, G., Bertrand, G.: Fast characterization of 3D simple points. In: Proc. 11th IEEE Internat. Conf. on Pattern Recognition, pp. 232–235 (1992)
Manzanera, A., Bernard, T.M., Pretêux, F., Longuet, B.: Medial faces from a concise 3D thinning algorithm. In: ICCV 1999. Proc. 7th IEEE Internat. Conf. Computer Vision, pp. 337–343 (1999)
Mukherjee, J., Das, P.P., Chatterjee, B.N.: On connectivity issues of ESPTA. Pattern Recognition Letters 11, 643–648 (1990)
Palágyi, K., Kuba, A.: A 3D 6–subiteration thinning algorithm for extracting medial lines. Pattern Recognition Letters 19, 613–627 (1998)
Palágyi, K., Kuba, A.: Directional 3D thinning using 8 subiterations. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol. 1568, pp. 325–336. Springer, Heidelberg (1999)
Palágyi, K., Kuba, A.: A parallel 3D 12–subiteration thinning algorithm. Graphical Models and Image Processing 61, 199–221 (1999)
Palágyi, K.: A 3-subiteration 3D thinning algorithm for extracting medial surfaces. Pattern Recognition Letters 23, 663–675 (2002)
Palágyi, K.: Efficient implementation of 3D thinning algorithms. In: Proc. 6th Conf. Hungarian Association for Image Processing and Pattern Recognition, pp. 266–274 (2007)
Tsao, Y.F., Fu, K.S.: A parallel thinning algorithm for 3–D pictures. Computer Graphics and Image Processing 17, 315–331 (1981)
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Palágyi, K. (2007). A 3–Subiteration Surface–Thinning Algorithm. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds) Computer Analysis of Images and Patterns. CAIP 2007. Lecture Notes in Computer Science, vol 4673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74272-2_78
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DOI: https://doi.org/10.1007/978-3-540-74272-2_78
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