CRITICAL KERNELS: PUBLICATIONS

• JOURNAL ARTICLES

[Ber07] G. Bertrand: "On critical kernels", Comptes-rendus de l'Académie des Sciences, série math., Vol. I, Nb. 345, pp. 363-367, 2007. Preprint: IGM2005-05.

[BC08] G. Bertrand and M. Couprie: "Two-dimensional thinning algorithms based on critical kernels", Journal of Mathematical Imaging and Vision, Vol. 31, Nb. 1, pp. 35-56, 2008. Preprint: IGM2006-02.

[BC09] G. Bertrand and M. Couprie: "On parallel thinning algorithms: minimal non-simple sets, P-simple points and critical kernels", Journal of Mathematical Imaging and Vision, Vol. 35, Nb. 1, pp. 23-35, 2009. Preprint: IGM2007-08.

• CONFERENCE ARTICLES

[BC06b] G. Bertrand and M. Couprie: "New 2D parallel thinning algorithms based on critical kernels", Combinatorial Image Analysis, Lecture Notes in Computer Science, Vol. 4040, pp. 45-59, Springer, 2006. Preprint.

[BC06c] G. Bertrand and M. Couprie: "New 3D parallel thinning scheme based on critical kernels", Discrete geometry for computer imagery, Lecture Notes in Computer Science, Vol. 4245, pp. 580-591, Springer, 2006. Preprint.

[CSB06] M. Couprie and A. Vital Saúde and G. Bertrand: "Euclidean homotopic skeleton based on critical kernels", Procs. SIBGRAPI, IEEE CS Press, pp. 307-314, 2006. Preprint.

[CB08b] M. Couprie and G. Bertrand: "New characterizations of simple points, minimal non-simple sets and P-simple points in 2D, 3D and 4D discrete spaces", Discrete geometry for computer imagery, Lecture Notes in Computer Science, Vol. 4992, pp. 105-116, Springer, 2008. Preprint.

• REPORTS

[Cou06] M. Couprie: "Note on fifteen 2D parallel thinning algorithms", Report IGM2006-01.

• RELATED WORKS

[CB07] N. Passat, M. Couprie and G. Bertrand: "Minimal simple pairs in the 3-D cubic grid", Journal of Mathematical Imaging and Vision, Vol. 32, Nb. 3, pp. 239-249, 2008. Preprint: IGM2007-04.

[BCP09] G. Bertrand, M. Couprie and N. Passat: "A note on 3-D simple points and simple-equivalence", Information Processing Letters, Vol. 109, Nb. 13, pp. 700-704, 2009. Preprint.

[CB09] M. Couprie and G. Bertrand: "New characterizations of simple points in 2D, 3D and 4D discrete spaces", IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 31, Nb. 4, pp. 637-648, 2009. Preprint: IGM2007-07.

[PCMB10] N. Passat, M. Couprie, L. Mazo and G. Bertrand: "Topological properties of thinning in 2-D pseudomanifolds", Journal of Mathematical Imaging and Vision, to appear, 2010. Preprint: IGM2008-05.

Critical kernels

CRITICAL KERNELS: PUBLICATIONS

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