[. Hamann-b and . Umlauf-g, Isogeometric finite element analysis based on catmull-clark subdivision solids, Computer Graphics Forum, vol.29, issue.5, pp.1575-1584, 2010.

C. S. Green-s, C. B. Duchamp-t, and . Z. Popovi´cpopovi´, A multiresolution framework for dynamic deformations, Proceedings of the 2002 ACM SIG- GRAPH/Eurographics symposium on Computer animation SCA '02, ACM, pp.41-47, 2002.

[. Kobbelt-l and . Puppo-e, A survey on data structures for level-of-detail models In Advances in Multiresolution for Geometric Modelling, Mathematics and Visualization, pp.49-74, 2005.

D. Floriani and L. Magillo-p, Multi-resolution mesh representation: Models and data structures In Tutorials on Multiresolution in Geometric Modelling, Mathematics and Visualization, pp.363-417, 2002.

[. Puppo-e and P. M. , A formal approach to multiresolution hypersurface modeling In Geometric Modeling: Theory and Practice, Focus on Computer Graphics, pp.302-323, 1997.

[. and P. M. Puppo-e, Multiresolution representation of shapes based on cell complexes, Proceedings of the 8th conference on Discrete Geometry for Computer Imagery DGCI '99, pp.3-18, 1999.

[. A. Dodgson-n, F. M. , and S. M. , Advances in multiresolution for geometric modelling. Mathematics and visualization, 2005.

]. Edm60 and . R. Edmonds-j, A combinatorial representation for polyhedral surfaces, Notices of the, 1960.

J. T. Kraemer-p and C. D. , A unified structure for crowd simulation, Comput. Animat. Virtual Worlds, vol.23, pp.3-4, 2012.

C. [. Bechmann-d, Extension of half-edges for the representation of multiresolution subdivision surfaces. The Visual Computer, pp.149-163, 2009.

]. Lie91 and . P. Lienhardt, Topological models for boundary representation: a comparison with n-dimensional generalized maps, Computer-Aided Design, vol.23, issue.1, pp.59-82, 1991.

L. M. Samet-h, Navigating through triangle meshes implemented as linear quadtrees, ACM Trans. Graph, vol.19, issue.2 2, pp.79-121, 2000.

L. H. Tavares-g, Structural operators for modeling 3-manifolds, Proceedings of the fourth ACM symposium submitted to COMPUTER GRAPHICS Forum, 2016.

P. D. Puppo-e, Implicit hierarchical quaddominant meshes, Computer Graphics Forum, vol.30, issue.2, pp.1617-1629, 2011.

]. Sam90 and . H. Samet, The Design and Analysis of Spatial Data Structures, of Addison-Wesley Series in Computer Science, 1990.

C. [. Bechmann-d, n-dimensional multiresolution representation of subdivision meshes with arbitrary topology, Graphical Models, vol.75, issue.3, pp.231-246, 2013.

]. Wei85 and . K. Weiler, Edge-based data structures for solid modeling in curved-surface environments, Computer Graphics and Applications, vol.5, issue.1, pp.21-40, 1985.