N. Aage, E. Andreassen, S. Boyan, O. Lazarov, and . Sigmund, Giga-voxel computational morphogenesis for structural design, Nature, vol.550, p.7674, 2017.

M. Ashby, The properties of foams and lattices, Philosophical Transactions of the Royal Society A, vol.364, pp.15-30, 2006.

D. Bommes, B. Lévy, N. Pietroni, E. Puppo, C. Silva et al., Quad-Mesh Generation and Processing: A Survey, Comput. Graph. Forum, vol.32, pp.51-76, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01059755

J. Brennan-craddock, The Investigation of a Method to Generate Conformal Lattice Structures for Additive Manufacturing, 2011.

Y. Chen, 3D Texture Mapping for Rapid Manufacturing, Computer-Aided Design and Applications, vol.4, pp.761-771, 2007.

, Buckles: Small-Scale Surface Deformations as Periodic Functions on 3D Meshes, Zuenko Evgeny and Matthias Harders. 2019. Wrinkles, Folds, Creases, pp.1-1, 2019.

L. M. Marc, L. François, M. Chen, and . Coret, Elasticity and symmetry of triangular lattice materials, Int. J. Solids Struct, vol.129, pp.18-27, 2017.

O. Fryazinov, T. Vilbrandt, and A. Pasko, Multi-Scale Space-Variant FRep Cellular Structures, Computer-Aided Design, vol.45, pp.26-34, 2013.

X. Gao, W. Jakob, M. Tarini, and D. Panozzo, Robust Hex-Dominant Mesh Generation Using Field-Guided Polyhedral Agglomeration, ACM Transactions on Graphics, vol.36, pp.1-13, 2017.

P. Geoffroy-donders, G. Allaire, and O. Pantz, 2020. 3-d topology optimization of modulated and oriented periodic microstructures by the homogenization method, J. Comput. Phys, vol.401, p.108994, 2020.

J. Lorna, M. Gibson, and . Ashby, Cellular solids: structure and properties, 1999.

A. Goldberg, M. Zwicker, and F. Durand, Anisotropic Noise, ACM Transactions on Graphics, vol.27, pp.1-8, 2008.

F. C. Jeroen-p-groen, N. Stutz, J. A. Aage, O. Baerentzen, and . Sigmund, De-homogenization of optimal multi-scale 3D topologies, Computer Methods in Applied Mechanics and Engineering, vol.364, p.112979, 2020.

A. Ion, J. Frohnhofen, L. Wall, R. Kovacs, M. Alistar et al., Metamaterial Mechanisms. In UIST '16, pp.529-539, 2016.

W. Jakob, M. Tarini, D. Panozzo, and O. Sorkine-hornung, Instant Field-Aligned Meshes, ACM Transactions on Graphics, vol.34, pp.1-15, 2015.

M. Robert and . Jones, Mechanics of Composite Materials, vol.193, 1975.

F. Knöppel, K. Crane, U. Pinkall, and P. Schröder, Stripe Patterns on Surfaces, ACM Trans Graph, vol.34, p.4, 2015.

T. Kuipers, L. Eugeni, J. Doubrovski, C. C. Wu, and . Wang, A framework for adaptive width control of dense contour-parallel toolpaths in fused deposition modeling, 2020.

T. Kuipers, J. Wu, and C. C. Wang, CrossFill: Foam Structures with Graded Density for Continuous Material Extrusion, Computer-Aided Design, vol.114, pp.37-50, 2019.

A. Lagae, S. Lefebvre, R. Cook, T. Derose, G. Drettakis et al., A Survey of Procedural Noise Functions, Computer Graphics Forum, vol.29, pp.2579-2600, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00920177

A. Lagae, S. Lefebvre, R. Cook, T. Derose, G. Drettakis et al., A Survey of Procedural Noise Functions, Computer Graphics Forum, vol.29, pp.2579-2600, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00920177

A. Lagae, S. Lefebvre, G. Drettakis, and P. Dutré, Procedural Noise using Sparse Gabor Convolution, ACM Transactions on Graphics, vol.28, pp.54-64, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00606821

J. P. Lewis, Algorithms for Solid Noise Synthesis, Proceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques. 263-270, 1989.

D. Li, N. Dai, X. Jiang, and X. Chen, Interior Structural Optimization Based on the Density-Variable Shape Modeling of 3D Printed Objects, Int. J. Adv. Manuf. Technol, vol.83, pp.137-149, 2015.

M. Livesu, S. Ellero, J. Martínez, S. Lefebvre, and M. Attene, From 3D Models to 3D Prints: An Overview of the Processing Pipeline, Computer Graphics Forum, vol.36, pp.537-564, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01518469

S. K. Maiti, M. F. Ashby, and L. J. Gibson, Fracture toughness of brittle cellular solids, Scripta Metallurgica, vol.18, issue.84, pp.90510-90516, 1984.

J. Martínez, J. Dumas, and S. Lefebvre, Procedural Voronoi Foams for Additive Manufacturing, ACM Transactions on Graphics, vol.35, 2016.

J. Martínez, S. Hornus, H. Song, and S. Lefebvre, Polyhedral Voronoi diagrams for additive manufacturing, ACM Transactions on Graphics, vol.37, p.15, 2018.

J. Martínez, H. Song, J. Dumas, and S. Lefebvre, Orthotropic k-nearest foams for additive manufacturing, ACM Transactions on Graphics, vol.36, issue.4, pp.1-12, 2017.

A. Medeiros-e-sá, K. R. Vinícius-moreira-mello, D. Echavarria, and . Covill, Adaptive voids. The Visual Computer, vol.31, pp.799-808, 2015.

J. Michel, H. Moulinec, and P. Suquet, Effective properties of composite materials with periodic microstructure: a computational approach, Computer methods in applied mechanics and engineering, vol.172, pp.227-235, 1999.

F. Neyret and E. Heitz, Understanding and controlling contrast oscillations in stochastic texture algorithms using Spectrum of Variance, Research Report. LJK / Grenoble University -INRIA. 8 pages. nTopology. 2019. nTop design platform, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01349134

J. Panetta, A. Rahimian, and D. Zorin, Worst-case Stress Relief for Microstructures, ACM Transactions on Graphics, vol.36, 2017.

J. Panetta, Q. Zhou, L. Malomo, N. Pietroni, P. Cignoni et al., Elastic Textures for Additive Fabrication, ACM Transactions on Graphics, vol.34, 2015.

O. Pantz and K. Trabelsi, A Post-Treatment of the Homogenization Method for Shape Optimization, SIAM Journal on Control and Optimization, vol.47, pp.1380-1398, 2008.

A. Pasko, O. Fryazinov, T. Vilbrandt, P. Fayolle, and V. Adzhiev, Procedural function-based modelling of volumetric microstructures, 2011.

, Graphical Models, vol.73, pp.165-181, 2011.

M. Pham, C. Liu, I. Todd, and J. Lertthanasarn, Damagetolerant architected materials inspired by crystal microstructure, Nature, vol.565, p.305, 2019.

. Carlos-m-portela, S. Vidyasagar, T. Krödel, D. W. Weissenbach, J. R. Yee et al., Extreme mechanical resilience of self-assembled nanolabyrinthine materials, Proceedings of the National Academy of Sciences, vol.117, pp.5686-5693, 2020.

N. Ray, W. C. Li, B. Lévy, A. Sheffer, and P. Alliez, Periodic Global Parameterization, ACM Trans. Graph, vol.25, pp.1460-1485, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00104853

C. Schumacher, B. Bickel, J. Rys, S. Marschner, C. Daraio et al., Microstructures to Control Elasticity in 3D Printing, ACM Transactions on Graphics, vol.34, issue.13, pp.1-136, 2015.

C. Schumacher, S. Marschner, M. Cross, and B. Thomaszewski, Mechanical Characterization of Structured Sheet Materials, ACM Transactions on Graphics, vol.37, p.148, 2018.

L. A. Shaw, F. Sun, C. M. Portela, R. I. Barranco, J. R. Greer et al., Computationally efficient design of directionally compliant metamaterials, Nature Communications, vol.10, 2019.

K. Siddhant, S. Tan, Z. Li, and D. M. Kochmann, Inversedesigned spinodoid metamaterials, Computational Materials, vol.6, p.1, 2020.

E. Siéfert, E. Reyssat, J. Bico, and B. Roman, Bio-inspired pneumatic shape-morphing elastomers, Nature Materials, vol.18, 2019.

M. G. Tarantino, O. Zerhouni, and K. Danas, Random 3D-printed isotropic composites with high volume fraction of pore-like polydisperse inclusions and near-optimal elastic stiffness, Acta Materialia, vol.175, pp.331-340, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02167837

T. Tricard, S. Efremov, C. Zanni, F. Neyret, J. Martínez et al., Procedural Phasor Noise. ACM Transactions on Graphics, vol.38, issue.4, pp.1-13, 2019.

K. Vidim?e, S. Wang, J. Ragan-kelley, and W. Matusik, Open-Fab: A Programmable Pipeline for Multi-material Fabrication, ACM Transactions on Graphics, vol.32, pp.1-136, 2013.

H. Wang, Y. Chen, and D. W. Rosen, A hybrid geometric modeling method for large scale conformal cellular structures, ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp.421-427, 2005.

J. Wu, N. Aage, R. Westermann, and O. Sigmund, Infill Optimization for Additive Manufacturing-Approaching Bone-Like Porous Structures, IEEE Trans. Vis. Comput. Graph, vol.24, pp.1127-1140, 2018.

J. Wu, C. C. Wang, X. Zhang, and R. Westermann, Selfsupporting rhombic infill structures for additive manufacturing, Computer-Aided Design, vol.80, pp.32-42, 2016.

J. Wu, W. Wang, and X. Gao, Design and Optimization of Conforming Lattice Structures, IEEE Trans. Vis. Comput. Graph, pp.1-1, 2019.

B. Zhu, M. Skouras, D. Chen, and W. Matusik, Two-Scale Topology Optimization with Microstructures, ACM Transactions on Graphics, vol.36, 2017.