By Loïc Mazo (auth.), Massimo Ferri, Patrizio Frosini, Claudia Landi, Andrea Cerri, Barbara Di Fabio (eds.)
This booklet constitutes the lawsuits of the 4th foreign Workshop on Computational Topology in picture Context, CTIC 2012, held in Bertinoro, Italy, in might 2012. The sixteen papers provided during this quantity have been conscientiously reviewed and chosen for inclusion during this publication. They specialise in the topology and computation in snapshot context. The workshop is dedicated to computational equipment utilizing topology for the research and comparability of pictures. The concerned learn fields include computational topology and geometry, discrete topology and geometry, geometrical modeling, algebraic topology for photo purposes, and the other box concerning a geometric-topological method of snapshot processing.
Read Online or Download Computational Topology in Image Context: 4th International Workshop, CTIC 2012, Bertinoro, Italy, May 28-30, 2012. Proceedings PDF
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Additional resources for Computational Topology in Image Context: 4th International Workshop, CTIC 2012, Bertinoro, Italy, May 28-30, 2012. Proceedings
3D scattered data approximation with adaptive compactly supported radial basis functions. In: Proceedings of International Conference on Shape Modeling and Applications, pp. 31–39 (2004) 15. : Topological equivalence between a 3d object and the reconstruction of its digital image. IEEE Trans. Pattern Anal. Mach. Intell. 29(1), 126–140 (2007) 38 E. Vuc¸ini 16. : Interpolation revisited. IEEE Transactions on Medical Imaging 19(7), 739–758 (2000) 17. : On the search of optimal reconstruction resolution, Pattern Recognition Letters (2011) (in press) 18.
An associative machine for dealing with the visual ﬁeld and some of its biological implications. R. ) Biological Prototypes and Synthetic Systems, vol. 1, pp. 244–260. Plenum Press, New York (1962); Proceedings of the 2nd Annual Bionics Symposium, held at Cornell University (1961) 7. : Parallel image processing. Springer (2001) 8. : Parallel thinning with two-subiteration algorithms. Communications of the ACM 32, 359–373 (1989) 48 F. Pe˜ na-Cantillana et al. 9. : Cellular-automata for elementary imageenhancement.
By using the deﬁnition of removal operations, we are able to project the generators of the simpliﬁed object on the initial one (by using a similar technique as in [14,9]). We have made a second type of experiments in order to compare our approach with other existing methods. To our knowledge there is no other general method which compute homology generator of cellular objects. Thus we compare our solution with Chomp and RedHom [1,2] which compute homology generators of cubical complexes. We chose these two methods since the two softwares are publicly available.