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All issues Volume 27 / No 3 (1993) ESAIM: M2AN, 27 3 (1993) 349-374 References
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Issue
ESAIM: M2AN
Volume 27, Number 3, 1993
Page(s) 349 - 374
DOI https://doi.org/10.1051/m2an/1993270303491
Published online 31 January 2017
  1. M. BERGER, Géométrie volume 3, convexes et polytopes, polyèdres réguliers, aires et volumes, Nathan, Paris, 1978. [MR: 536872] [Zbl: 0423.51001] [Google Scholar]
  2. P. BROUX, Using the Gaussian image to find the orientation of objects, Int. J. Robotics Res., vol. 3, n° 4, 1984. [Google Scholar]
  3. D. R. CHAND and S. S. KAPUR, An algorithm for convex polytopes, JACM, vol. 17, n° 1, January 1970, pp. 78-86. [MR: 278177] [Zbl: 0199.50902] [Google Scholar]
  4. M. P. DO CARMO, Differential geometry of curves and surfaces, Prentice Hall, New Jersey, 1976. [MR: 394451] [Zbl: 0326.53001] [Google Scholar]
  5. H. EDELSBRUNNER, Algorithms in combinatorial geometry, EATCS Monogr. Theoret. Comput. Sci., vol, 10, Springer Verlag, 1987. [MR: 904271] [Zbl: 0634.52001] [Google Scholar]
  6. H. G. EGGLESTON, Convexity, Cambridge University Press, 1958. [MR: 124813] [Zbl: 0086.15302] [Google Scholar]
  7. B. GRÛNBAUM, Convex Polytopes, John Wiley and Sons ltd, London and New York, 1967. [MR: 226496] [Zbl: 0163.16603] [Google Scholar]
  8. D. HILBERT and S. COHN-VOSSEN, Geometry and the imagination, Chelsa Publishing company, New York. [MR: 46650] [Zbl: 0047.38806] [Google Scholar]
  9. B. K. P. HORN, Extended Gaussian images, Proceeding of IEEE, pp. 1671- 1686, December 1984. [Google Scholar]
  10. B. K. P. HORN and K. I. IKEUCHI, The Mechanical manipulation of randomly oriented parts, Scientific American, August 1984. [Google Scholar]
  11. K. I. IKEUCHI, Recognition of 3D objects using the extended Gaussian image, Proceedings of the seventh I.J.C.A.I., pp. 595-600, 1981. [Google Scholar]
  12. J. B. LASSERRE, An analytical expression and an algorithm for the volume of a convex polyedron in Rn, J.O.T.A., vol. 39, n° 3, March 1983. [MR: 703477] [Zbl: 0487.52006] [Google Scholar]
  13. J. LEMORDANT, Pham. Dinh. TAO and H. ZOUAKI, Reconstruction d'un polyèdre à partir de son image gaussienne généralisée, Journée de géométrie algorithmique, INRIA Sophia-Antipolis, 18-20 juin 1990. [MR: 1098960] [Google Scholar]
  14. J. J. LITTLE, An iterative method for reconstracting convex polyedra from extended Gaussian image, Proceedings of A.A.A.I. 83, pp. 247-250, 1983. [Google Scholar]
  15. J. J. LITTLE, Recovering shape and determining attitude from extended Gaussian images, Technical report TN 85-2, April 1985. University of British Columbia, Vancouver. [Google Scholar]
  16. D. G. LUENBERGER, Introduction to linear and non linear programming, Addison-Wesley, 1973. [Zbl: 0297.90044] [Google Scholar]
  17. L. A. LYUSTERNIK, Convex figures and polyedra, Dover publications, New York, 1963. [MR: 161219] [Zbl: 0113.16201] [Google Scholar]
  18. P. MCMULLEN and G. C. SHEPARD, Convex polytopes and the upper bound conjecture, Cambridge University Press, 1971. [MR: 301635] [Zbl: 0217.46702] [Google Scholar]
  19. H. MINKOWSKI, Volumen und oberfläch, Math. Ann., 57, 1903. [EuDML: 158108] [MR: 1511220] [JFM: 34.0649.01] [Google Scholar]
  20. M. MINOUX, Programmation mathématiques, tome I, Dunod, Paris, 1983. [Zbl: 0546.90056] [Google Scholar]
  21. B. PCHENITCHNY and Y. DANILINE, Méthodes numériques dans les problèmes d'extremum, Mir, 1977. [MR: 474818] [Zbl: 0389.65027] [Google Scholar]
  22. A. V. POGORELOV, The Minkowski multidimensional problem, Winston and Sons, 1978. [MR: 478079] [Zbl: 0387.53023] [Google Scholar]
  23. F. P. PREPARATA and S. J. HONG, Convex hulls of finite sets of points m two and three dimensions, C.A.C.M. vol 20, pp 87 93, 1977. [MR: 488985] [Zbl: 0342.68030] [Google Scholar]
  24. R. T. ROCKAFELLAR, The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions, Heldermann Verlag, Berlin. [MR: 623763] [Zbl: 0462.90052] [Google Scholar]
  25. S. USELTON, Surface reconstruction from limited information, U.M.I. Dissertation information service, 1981. [Google Scholar]
  26. K. WEILER, Edge-based data structure for solid modelling in curved surface environments, IEEE Computer Graphics and Applications, January, 19851985, pp 21-24. [Google Scholar]
  27. P. FAURE and P. HUARD, Résolution de programmes mathématiques avec la méthode du gradient réduit, R.F.R.O., n° 36, 1965, pp 167-206. [Zbl: 0135.20001] [Google Scholar]
  28. H. ZOUAKI, Modélisation et optimisation numérique pour la reconstruction d'un polyèdre a partir de son image gaussienne généralisée, These de l'université Joseph Fourier, juillet 1991. [Google Scholar]

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