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Deformation of discrete object surfaces

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Computer Analysis of Images and Patterns (CAIP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1296))

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Abstract

We define objects surface in a 3-dimensional (3D) lattice space using the theory of combinatorial topology, and present all possible deformation operations of the object surfaces, such that these operations do not violate the topology of the surfaces.

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References

  1. J. Lachaud and A. Montanvert, Volumic Segmentation Using Hierarchical Representation and Triangulated Surface, Research Report No. 95-37, LIP, ENS de Lyon, October 1995.

    Google Scholar 

  2. P. P. Jonker and O. Vermeij, On Skeletonization in 4D Images, LNCS 1121: P. Perner; P. Wang and A. Rosenfeld (Eds.), Advances in Structural and Syntactical Pattern Recognition, pp. 79–89, Springer-Verlag, 1996.

    Google Scholar 

  3. K. Abe, F. Mizutani and C. Wang, Thinning of Gray-Scale Images with Combined Sequential and Parallel Conditions for Pixel Removal. Visual Form Analysis and Recognition, Edited by C. Arcelli, L. P. Cordella and G. S. Baja, Plenum Press, New York, pp. 1–10, 1991.

    Google Scholar 

  4. M. P. P. Schlicher, E. Bouts and P. W. Verbeek, Fast Analytical Medial-Axis Localization in Convex Polyhedra, IEEE Proceedings of 13th. International Conference on. Pattern Recognition, pp. 55–61, 1996.

    Google Scholar 

  5. V. A. Kovalevsky, Finite topology as applied to image analysis, Computer Vision, Graphics, and Image Processing, Vol. 46, pp. 141–161, 1989.

    Google Scholar 

  6. Y. Kenmochi, A. Imiya, and N. F. Ezquerra, Polyhedra Generation from Lattice Points, LNCS 1176: S. Miguett, A. Montanvert and S. Ubéda (Eds.), Discrete, Geometry for Computer Imagery, pp. 127–138, Springer-Verlag, Berlin, Heidelberg, 1996.

    Google Scholar 

  7. Y. Kenmochi, A. Imiva, and A. Ichikawa, Discrete Combinatorial Geometry, to appear in Pattern Recognition.

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Information and Computer Sciences, Chiba University, 1-33 Yayoi-cho, 263, Inage-ku, Chiba, Japan

    Yukiko Kennmochi & Atsushi Imiya

Authors
  1. Yukiko Kennmochi
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  2. Atsushi Imiya
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Gerald Sommer Kostas Daniilidis Josef Pauli

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© 1997 Springer-Verlag Berlin Heidelberg

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Kennmochi, Y., Imiya, A. (1997). Deformation of discrete object surfaces. In: Sommer, G., Daniilidis, K., Pauli, J. (eds) Computer Analysis of Images and Patterns. CAIP 1997. Lecture Notes in Computer Science, vol 1296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63460-6_111

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  • DOI: https://doi.org/10.1007/3-540-63460-6_111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63460-7

  • Online ISBN: 978-3-540-69556-1

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