A. D. Fleming, Geometric relationships between toleranced features, Artificial Intelligence, vol.37, issue.1-3, pp.403-412, 1988.
DOI : 10.1016/0004-3702(88)90062-8

J. U. Turner, « A Feasability Space Appoach for Automated Tolerancing, J. Eng. Ind, vol.115, pp.341-346, 1993.

D. Teissandier, V. Delos, and Y. Couétard, « Operations on polytopes: application to tolerance analysis », présenté à 6th CIRP Seminar on Computer Aided Tolerancing, pp.425-433, 1999.

U. Roy and B. Li, Representation and interpretation of geometric tolerances for polyhedral objects. II., Computer-Aided Design, vol.31, issue.4, pp.273-285, 1999.
DOI : 10.1016/S0010-4485(99)00028-7

J. K. Davidson, A. Mujezinovic, and J. J. Shah, A New Mathematical Model for Geometric Tolerances as Applied to Round Faces, Journal of Mechanical Design, vol.124, issue.4, pp.609-622, 2002.
DOI : 10.1115/1.1497362

G. Ameta, S. Samper, and E. M. Giordano, Comparison of Spatial Math Models for Tolerance Analysis: Tolerance-Maps, Deviation Domain, and TTRS, Journal of Computing and Information Science in Engineering, vol.11, issue.2, pp.1-8, 2011.
DOI : 10.1115/1.3593413

URL : https://hal.archives-ouvertes.fr/hal-00801640

A. Clément, A. Rivière, E. P. Serré, and «. A. , A Declarative Information Model for Functional Requirements, Computer-aided Tolerancing, pp.3-16, 1996.
DOI : 10.1007/978-94-009-1529-9_1

V. Srinivasan, Role of Sweeps in Tolerancing Semantics, ASME Proc. of the International Forum on Dimensional Tolerancing and Metrology, TS172.I5711, CRTD, pp.69-78, 1993.

G. Ameta, J. K. Davidson, and J. J. Shah, Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies, Journal of Computing and Information Science in Engineering, vol.7, issue.4, pp.347-359, 2007.
DOI : 10.1115/1.2795308

G. Ziegler, Lectures on polytopes, 1995.
DOI : 10.1007/978-1-4613-8431-1

Y. Wu, J. J. Shah, and J. K. Davidson, Improvements to algorithms for computing the Minkowski sum of 3-polytopes, Computer-Aided Design, vol.35, issue.13, pp.13-1181, 2003.
DOI : 10.1016/S0010-4485(03)00023-X

D. Teissandier and V. Delos, Algorithm to calculate the Minkowski sums of 3-polytopes based on normal fans, Computer-Aided Design, vol.43, issue.12, pp.1567-1576, 2011.
DOI : 10.1016/j.cad.2011.06.016

URL : https://hal.archives-ouvertes.fr/hal-00635842

M. Mansuy, M. Giordano, and E. P. Hernandez, A new calculation method for the worst case tolerance analysis and synthesis in stack-type assemblies, Computer-Aided Design, vol.43, issue.9, pp.1118-1125, 2011.
DOI : 10.1016/j.cad.2011.04.010

URL : https://hal.archives-ouvertes.fr/hal-00597546

L. Homri, D. Teissandier, and E. A. Ballu, Tolerancing Analysis by Operations on Polytopes, Design and Modeling of Mechanical Systems, pp.2013-597
DOI : 10.1007/978-3-642-37143-1_71

P. Gritzmann and B. Sturmfels, Minkowski Addition of Polytopes: Computational Complexity and Applications to Gr??bner Bases, SIAM Journal on Discrete Mathematics, vol.6, issue.2, pp.246-269, 1993.
DOI : 10.1137/0406019

K. Fukuda, From the zonotope construction to the Minkowski addition of convex polytopes, Journal of Symbolic Computation, vol.38, issue.4, pp.1261-1272, 2004.
DOI : 10.1016/j.jsc.2003.08.007

P. Bourdet, L. Mathieu, C. Lartigue, and E. A. Ballu, « The concept of the small displacement torsor in metrology, Ser. Adv. Math. Appl. Sci. Adv. Math. Tools Metrol. II, vol.40, pp.110-122, 1996.

A. Clément, A. Rivière, and P. Serré, Valade, « The TTRS: 13 Constraints for Dimensioning and Tolerancing, Geometric Design Tolerancing: Theories, Standards and Applications, pp.122-129, 1998.

A. N. Jensen and . Gröbner-fan, A Non-Regular Grobner Fan, Discrete & Computational Geometry, vol.37, issue.3, pp.443-453, 2007.
DOI : 10.1007/s00454-006-1289-0

A. N. Jensen, Algorithmic aspects of Gröbner fans and tropical varieties, 2007.

A. Ballu, L. Mathieu, and E. O. Legoff, Representation of Mechanical Assemblies and Specifications by Graphs, Geometric tolerancing of products, pp.87-110, 2010.
DOI : 10.1002/9781118587027.ch4

URL : https://hal.archives-ouvertes.fr/hal-00633695

J. Dufaure and D. Teissandier, « A tolerancing framework to support geometric specifications traceability, Int. J. Adv. Manuf. Technol, vol.36, pp.894-907, 2008.

. Fig, 10. Minkowski sum for two polytopes in 2 ?