Alain Daurat's papers

International Journals

[J11]	A. Daurat, M. Tajine, and M. Zouaoui. About the frequencies of some patterns in digital planes. application to area estimators. Comput. & Graph., 33(1):11-20, 2009. [ DOI \| .pdf ]
[J10]	S. Brunetti and A. Daurat. Reconstruction of convex lattice sets from tomographic projections in quartic time. Theoret. Comput. Sci., 406(1-2):55-62, 2008. [ DOI \| .pdf ]
[J9]	S. Brunetti and A. Daurat. Random generation of Q-convex sets. Theoret. Comput. Sci., 347(1-2):393-414, 2005. [ DOI \| hal \| .pdf ]
[J8]	A. Daurat and M. Nivat. Salient and reentrant points of discrete sets. Discrete Appl. Math., 151(1-3):106-121, 2005. [ DOI \| hal \| .pdf ]
[J7]	S. Brunetti and A. Daurat. Stability in discrete tomography: Some positive results. Discrete Appl. Math., 147(2-3):207-226, 2005. [ DOI \| hal \| .pdf ]
[J6]	A. Daurat. Determination of Q-convex sets by X-rays. Theoret. Comput. Sci., 332(1-3):19-45, 2005. [ DOI \| hal \| .pdf ]
[J5]	S. Brunetti and A. Daurat. An algorithm reconstructing convex lattice sets. Theoret. Comput. Sci., 304(1-3):35-57, 2003. [ DOI \| hal \| .pdf ]
[J4]	A. Daurat, Y. Gérard, and M. Nivat. The chords' problem. Theoret. Comput. Sci., 282(2):319-336, 2002. [ DOI \| .pdf ]
[J3]	S. Brunetti, A. Daurat, and A. Del Lungo. Approximate X-rays reconstruction of special lattice sets. Pure Math. Appl., 11(3):409-425, 2001. [ hal \| .ps.gz \| http ]
[J2]	A. Daurat. Salient points of Q-convex sets. Int. J. Pattern Recognition & Artificial Intelligence, 15(7):1023-1030, 2001. [ DOI \| .ps.gz \| .html ]
[J1]	A. Daurat, A. Del Lungo, and M. Nivat. Medians of discrete sets according to a linear distance. Discrete Comput. Geom., 23(4):465-483, 2000. [ hal \| .ps.gz \| http ]

Book Chapters

[BC2]	A. Daurat and N. Normand. Transformation et reconstruction par projections. In D. CoeurJolly, J.-M. Chassery, and A. Montanvert, editors, Géométrie discrète et images numériques, chapter 10, pp. 239-251. Lavoisier, 2007. [ .pdf \| http ]
[BC1]	S. Brunetti and A. Daurat. Reconstruction of Q-convex lattice sets. In G. T. Herman and A. Kuba, editors, Advances in Discrete Tomography and its Applications, Appl. Numer. Harmon. Anal., chapter 3, pp. 31-54. Birkhäuser, 2007. [ DOI \| .pdf ]

International Conferences

[C11]	A. Daurat, M. Tajine, and M. Zouaoui. Patterns in discretized parabolas and length estimation. In Proc. of DGCI 2009, volume 5810 of Lecture Notes in Comp. Sci., pp. 373-384. 2009. [ extended version \| .pdf ]
[C10]	A. Daurat, M. Tajine, and M. Zouaoui. About the frequencies of some patterns in digital planes. application to area estimators. In Proc. of DGCI 2008, volume 4992 of Lecture Notes in Comp. Sci., pp. 45-56. 2008. Obsolete by [J11]. [ DOI \| extended version \| .pdf ]
[C9]	M. Kalinowski, A. Daurat, and G. T. Herman. A fast construction of the distance graph used for the classification of heterogeneous electron microscopic projections. In Proc. of GbR 2007, volume 4538 of Lecture Notes in Comp. Sci., pp. 263-272. 2007. [ DOI \| .pdf ]
[C8]	S. Brunetti, A. Daurat, and A. Kuba. Fast filling operations used in the reconstruction of convex lattice sets. In Proc. of DGCI 2006, volume 4245 of Lecture Notes in Comp. Sci., pp. 98-109. 2006. Obsolete by [J10]. [ DOI \| .pdf ]
[C7]	S. Brunetti and A. Daurat. Determination of Q-convex bodies by X-rays. In Proc. of the Workshop on Discrete Tomography and its Applications, volume 20 of Electr. Notes Discrete Math., pp. 67-81. 2005. [ DOI \| hal \| .pdf ]
[C6]	M. Tajine and A. Daurat. On local definitions of length of digital curves. In Proc. of DGCI 2003, volume 2886 of Lecture Notes in Comp. Sci., pp. 114-123. Springer, 2003. [ erratum \| extended version \| .ps.gz \| http ]
[C5]	S. Brunetti and A. Daurat. Stability in discrete tomography: Linear programming, additivity and convexity. In Proc. of DGCI 2003, volume 2886 of Lecture Notes in Comp. Sci., pp. 398-407. Springer, 2003. Obsolete by [J7]. [ .pdf \| http ]
[C4]	A. Daurat and M. Nivat. Salient and reentrant points of discrete sets. In Proc. of IWCIA 2003, volume 12 of Electronic Notes in Discrete Mathematics. Elsevier, 2003. Obsolete by [J8]. [ DOI \| .pdf ]
[C3]	S. Brunetti, A. Daurat, and A. Del Lungo. An algorithm for reconstructing special lattice sets from their approximate X-rays. In Proc. of DGCI 2000, volume 1953 of Lecture Notes in Comp. Sci., pp. 113-125. Springer, 2000. Obsolete by [J3]. [ .pdf \| http ]
[C2]	S. Brunetti and A. Daurat. Reconstruction of discrete sets from two or more X-rays in any direction. In Proceedings of IWCIA'00, pp. 241-258. Université de Caen, 2000. Obsolete by [J5]. [ hal \| .ps.gz ]
[C1]	A. Daurat, Y. Gérard, and M. Nivat. The chords' problem. In E. Lodi, L. Pagli, and N. Santoro, editors, Proc. of FUN-98, pp. 77-87. Carleton Scientific, 1999. Obsolete by [J4]. [ .ps.gz ]

National Journals

[NJ1]

A. Daurat. Algorithmique des équations différentielles via les entiers infinis. C. R. Acad. Sci. Paris Sér. I Math., 323(8):961-965, 1996. [ extended version | .ps.gz ]

National Conferences

[NC4]	A. Daurat. Reconstruction et stabilité en tomographie des convexes discrets. In Journées Informatique et Géométrie. 2006. Invited talk. [ .pdf \| http ]
[NC3]	A. Daurat. Reconstruction of lattice sets from infinite X-rays. In Proceedings of Denis Richard 60th birthday Conference. 2002. [ hal \| .ps.gz ]
[NC2]	A. Daurat. Vérification expérimentale et partielle d'une conjecture de la tomographie discrète. In Proc. of CNRIUT2001, volume 1, pp. 291-299. Université de Saint-Etienne, 2001. [ .ps.gz ]
[NC1]	A. Daurat. Connexité et convexité directionnelle dans Z². In Proc. of CNR'IUT2000, volume 1, pp. 341-350. Presses Universitaires d'Orléans, 2000. [ .ps.gz ]

Miscellaneous

[M9]	A. Daurat, Y. Gérard, and M. Nivat. Some necessary clarifications about the chords' problem and the partial digest problem. Theoret. Comput. Sci., 347(1-2):432-436, 2005. Addendum of [J4]. [ DOI \| .pdf ]
[M8]	A. Daurat. Convexité dans le plan discret. Application à la tomographie. Ph.D. thesis, LLAIC1, et LIAFA Université Paris 7, 2000. [ hal \| .pdf \| http ]
[M7]	A. Daurat. Uniqueness of the reconstruction of Q-convexes from their projections., 2000. Report 94, LLAIC1, obsolete by [J6]. [ .ps.gz ]
[M6]	A. Daurat, M. Doche, and D. Le Berre. Manipulation des principaux objets du formalisme Moka-TRIO par l'interface Java-Moka, 1999. Preprint ONERA-CERT / DTIM. [ .pdf ]
[M5]	A. Daurat. The Q-convexity, 1999. Prepublication no 82, LLAIC1. [ .ps.gz ]
[M4]	A. Daurat. L-systèmes et polyèdres. Hubris, le journal mathématique de l'ENS de Cachan, 1:2-13, 1997. [ .ps.gz \| .html ]
[M3]	A. Daurat. Sur la discrétisation des équations différentielles, 1997. Partially published in Actes du LLAIC1, vol VI. [ .ps.gz ]
[M2]	A. Daurat. Algorithmique des équations différentielles via les entiers infinis. Master's thesis, Université Paris 7, 1996. [ .ps.gz ]
[M1]	A. Daurat. Solutions au sens de filippov d'équations différentielles à données discontinues. mémoire de première année de magistère, 1994. [ .ps.gz ]

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