Geometric modeling of solid objects by using a face adjacency graph representation, Computer Graphics, vol.19, issue.3, pp.131-139, 1985. ,
Equivalence between Closed Connected n-G-Maps without??Multi-Incidence and n-Surfaces, Agoston. Algebraic Topology, a first course. Pure and applied mathematics, pp.1-22, 1976. ,
DOI : 10.1007/s10851-008-0084-3
URL : https://hal.archives-ouvertes.fr/hal-00340945
Border Operator for Generalized Maps, Discrete Geometry for Computer Imagery, pp.300-312, 2009. ,
DOI : 10.1145/347127.347138
URL : https://hal.archives-ouvertes.fr/hal-00437746
Combinatorial cell complexes and Poincar?? duality, Geometriae Dedicata, vol.72, issue.3, pp.357-387 ,
DOI : 10.1007/s10711-010-9458-y
A polyhedron representation for computer vision Algebraic specification of a 3D- Modeler based on hypermaps, Proc. AFIPS Nat. Conf., volume, pp.589-59629, 1975. ,
Comparison and Convergence of Two Topological Models for 3D Image Segmentation, Proceedings of 4th IAPR-TC15 Workshop on Graph-Based Representations in Pattern Recognition, pp.59-70, 2003. ,
DOI : 10.1007/3-540-45028-9_6
Topological Encoding of 3D Segmented Images, Proceedings of 9th Discrete Geometry for Computer Imagery, pp.311-324, 2000. ,
DOI : 10.1007/3-540-44438-6_26
URL : https://hal.archives-ouvertes.fr/lirmm-01168508
New notions for discrete topology, Proc. DGCI'99, pp.218-228, 1999. ,
A Model for Image Structuration, Proc. Computer Graphics International'88, 1988. ,
DOI : 10.1007/978-3-642-83492-9_37
Contraction kernels and combinatorial maps, Pattern Recognition Letters, vol.24, issue.8, pp.1051-1057, 2003. ,
DOI : 10.1016/S0167-8655(02)00251-9
Representing geometric structures in d dimensions: topology and order, Proc. 5th ACM Symp, pp.218-227, 1989. ,
Representing geometric structures in d dimensions: topology and order, Discrete & Computational Geometry, vol.9, issue.1, pp.387-426, 1993. ,
Automatic building of structured geological models, Journal of Computing and Information Science in Ingeneering, vol.5, issue.2, 2005. ,
Non-manifold modeling : an approach based on spatial subdivisions, Computer- Aided Design, vol.29, issue.3, pp.299-320, 1997. ,
Representing Topological Structures Using Cell-Chains, Geometric Modeling and Processing -GMP 2006, pp.248-266, 1007. ,
DOI : 10.1007/11802914_18
An editable non-manifold boundary representation Topological model for two-dimensional image representation: definition and optimal extraction algorithm, Computer Graphics and Applications Computer Vision and Image Understanding, vol.11, issue.932, pp.111-154, 1991. ,
Discrete Frontiers, Proc. DGCI'03, pp.236-245, 2003. ,
DOI : 10.1007/978-3-540-39966-7_22
URL : https://hal.archives-ouvertes.fr/hal-00622040
Discrete Surfaces and Frontier Orders, Journal of Mathematical Imaging and Vision, vol.147, issue.2???3, pp.379-399, 2005. ,
DOI : 10.1007/s10851-005-2029-4
URL : https://hal.archives-ouvertes.fr/hal-00622397
First Results for 3D Image Segmentation with??Topological??Map, Proceedings of 14th International Conference on Discrete Geometry for Computer Imagery, pp.507-518, 2008. ,
DOI : 10.1007/978-3-540-79126-3_45
URL : https://hal.archives-ouvertes.fr/hal-00305485
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere, Computer Aided Geometric Design, vol.12, issue.7, pp.771-784, 1995. ,
DOI : 10.1016/0167-8396(95)00016-Y
Decomposing non-manifold objects in arbitrary dimensions, Graphical Models, vol.65, issue.1-3, pp.2-22, 2003. ,
DOI : 10.1016/S1524-0703(03)00006-7
A representation for abstract simplicial complexes, Proc. of DGCI'03, pp.454-464, 2003. ,
Representation of non-manifold objects through decomposition into nearly manifold parts, 8th A.C.M. Symposium on Solid Modeling and Applications, pp.304-309, 2003. ,
Primitives for the manipulation of three-dimensional subdivisions, Algorithmica, vol.5, issue.4, pp.3-32, 1989. ,
Computing Homology Generators for Volumes Using Minimal Generalized Maps, International Workshop on Combinatorial Image Analysis International Workshop on Combinatorial Image Analysis, pp.63-74, 2008. ,
DOI : 10.1007/978-3-540-78275-9_6
URL : https://hal.archives-ouvertes.fr/hal-00305471
On Efficient Sparse Integer Matrix Smith Normal Form Computations, Journal of Symbolic Computation, vol.32, issue.1-2, 2001. ,
DOI : 10.1006/jsco.2001.0451
Dimensional properties of graphs and digital spaces, Journal of Mathematical Imaging and Vision, vol.6, pp.109-119, 1987. ,
CELLULAR COMPLEXES AS STRUCTURED SEMI-SIMPLICIAL SETS, International Journal of Shape Modeling, vol.01, issue.02, pp.191-217, 1994. ,
DOI : 10.1142/S021865439400013X
Topological Persistence and Simplification, Discrete & Computational Geometry, vol.28, issue.4, pp.511-533, 2002. ,
DOI : 10.1007/s00454-002-2885-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.8802
Cellular Structures in Topology, 1990. ,
DOI : 10.1017/CBO9780511983948
Chain homotopies for object topological representations, Proceedings of the Second Int. Symp. on Algorithmic Number Theory, pp.490-499, 1996. ,
DOI : 10.1016/j.dam.2008.05.029
Vertex-based representation of non-manifolds boundaries, Geometric Modeling for Product Engineering, pp.107-130, 1990. ,
Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, Proceedings of the fifteenth annual ACM symposium on Theory of computing , STOC '83, pp.74-123, 1985. ,
DOI : 10.1145/800061.808751
Algebraic Topology, 2002. ,
A model for n-dimensional boundary topology, Proceedings on the second ACM symposium on Solid modeling and applications , SMA '93, pp.65-73, 1993. ,
DOI : 10.1145/164360.164386
Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix, SIAM Journal on Computing, vol.8, issue.4, pp.499-507, 1979. ,
DOI : 10.1137/0208040
Homology computation by reduction of chain complexes, Computers & Mathematics with Applications, vol.35, issue.4, pp.59-70, 1998. ,
DOI : 10.1016/S0898-1221(97)00289-7
Subdivisions of n-dimensional spaces and ndimensional generalized maps, ACM Symposium on Computational Geometry, pp.228-236, 1989. ,
Topological models for boundary representation: a comparison with n-dimensional generalized maps, Computer Aided Design, vol.23, issue.1, pp.59-82, 1991. ,
N-DIMENSIONAL GENERALIZED COMBINATORIAL MAPS AND CELLULAR QUASI-MANIFOLDS, International Journal of Computational Geometry & Applications, vol.04, issue.03, pp.275-324, 1994. ,
DOI : 10.1142/S0218195994000173
A boundary representation for formfeatures and non-manifold solid objects, 1st ACM/Siggraph Symposium on Solid Modeling Foundations and CAD/CAM Applications, 1990. ,
Simplicial sets and triangular patches, Proceedings of CG International '96, 1996. ,
DOI : 10.1109/CGI.1996.511797
Partial entity structure, Proceedings of the sixth ACM symposium on Solid modeling and applications , SMA '01, 2001. ,
DOI : 10.1145/376957.376976
Holes and Genus of 2D and 3D Digital Images. CVGIP: Graphical Models and Image Processing, pp.20-47, 1993. ,
CARTESIAN PRODUCT OF SIMPLICIAL AND CELLULAR STRUCTURES, International Journal of Computational Geometry & Applications, vol.14, issue.03, pp.115-159, 2004. ,
DOI : 10.1142/S0218195904001408
Non-manifold geometric modeling for set operations and surface operations, Proc. IFIP/RPI Geometric Modeling Conference, 1990. ,
The GeoMap: A Unified Representation for Topology and Geometry, Proc. IAPR Graph-based representations in pattern recognition, 2005. ,
DOI : 10.1007/978-3-540-31988-7_12
Elements of Algebraic Topology, 1930. ,
Analysis of blood vessel topology by cubical homology, Proceedings. International Conference on Image Processing, pp.969-972, 2002. ,
DOI : 10.1109/ICIP.2002.1040114
Computation of homology groups and generators, Comput. & Graph, vol.30, pp.62-69, 2006. ,
Computation of Homology Groups and Generators. computer & graphics, pp.62-69, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00308012
Dimension-independent modeling with simplicial complexes, ACM Transactions on Graphics, vol.12, issue.1, pp.56-102, 1993. ,
DOI : 10.1145/169728.169719
Simploidals sets: Definitions, operations and comparison with simplicial sets, Discrete Applied Mathematics, vol.157, issue.3, pp.542-557, 2009. ,
DOI : 10.1016/j.dam.2008.05.032
URL : https://hal.archives-ouvertes.fr/hal-00366069
Dimension-independent convex-cell based hierarchical polyhedral complex : representation scheme and implementation issues, 3rd Symposium on Solid Modeling and Applications, pp.163-174, 1995. ,
Directly computing the generators of image homology using graph pyramids, Image and Vision Computing, vol.27, issue.7, pp.846-853, 2009. ,
DOI : 10.1016/j.imavis.2008.06.009
URL : https://hal.archives-ouvertes.fr/hal-00366086
Sgc : A dimension-independant model for pointsets with internal structures and incomplete boundaries, Geometric modeling for Product Engineering, pp.145-180, 1989. ,
Extension of a boundary representation technique for the description of n-dimensional polytopes, Computer and Graphics, vol.13, issue.1, pp.17-23, 1989. ,
Merging in maps and pavings, Theoretical Computer Science, vol.86, pp.205-232, 1991. ,
Near optimal algorithms for computing smith normal forms of integer matrices, Proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation, pp.267-274, 1996. ,
Combinatorial maps, Journal of Combinatorial Theory Series B, vol.34, pp.1-21, 1983. ,
Optimal pants decompositions and shortest homotopic cycles on an orientable surface, J. ACM, vol.54, 2007. ,
Edge-based data structures for solid modelling in curved-surface environments, Computer Graphics and Applications, vol.5, issue.1, pp.21-40, 1985. ,
The radial-edge data structure: A topological representation for non-manifold geometry boundary modeling, Proc. IFIP WG 5.2 Working ConferenceZC08] Afra Zomorodian and Gunnar Carlsson. Localized homology, pp.41126-148, 1986. ,