Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Introduction to Shape Optimization: Theory, Approximation, and Computation
Introduction to Shape Optimization: Theory, Approximation, and Computation
Calculation of Gauss quadrature rules
Calculation of Gauss quadrature rules
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Interactive modeling of topologically complex geometric detail
ACM SIGGRAPH 2004 Papers
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Upright orientation of man-made objects
ACM SIGGRAPH 2008 papers
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
meshmixer: an interface for rapid mesh composition
ACM SIGGRAPH 2010 Talks
Voxel-based assessment of printability of 3D shapes
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Delaunay refinement algorithms for triangular mesh generation
Computational Geometry: Theory and Applications
Motion-guided mechanical toy modeling
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Chopper: partitioning models into 3D-printable parts
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
3D-printing of non-assembly, articulated models
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
InfraStructs: fabricating information inside physical objects for imaging in the terahertz region
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Computational design of mechanical characters
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Make it stand: balancing shapes for 3D fabrication
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Worst-case structural analysis
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Computational design of actuated deformable characters
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
OpenFab: a programmable pipeline for multi-material fabrication
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Cost-effective printing of 3D objects with skin-frame structures
ACM Transactions on Graphics (TOG)
Designing and fabricating mechanical automata from mocap sequences
ACM Transactions on Graphics (TOG)
Cross-sectional structural analysis for 3D printing optimization
SIGGRAPH Asia 2013 Technical Briefs
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The use of 3D printing has rapidly expanded in the past couple of years. It is now possible to produce 3D-printed objects with exceptionally high fidelity and precision. However, although the quality of 3D printing has improved, both the time to print and the material costs have remained high. Moreover, there is no guarantee that a printed model is structurally sound. The printed product often does not survive cleaning, transportation, or handling, or it may even collapse under its own weight. We present a system that addresses this issue by providing automatic detection and correction of the problematic cases. The structural problems are detected by combining a lightweight structural analysis solver with 3D medial axis approximations. After areas with high structural stress are found, the model is corrected by combining three approaches: hollowing, thickening, and strut insertion. Both detection and correction steps are repeated until the problems have been eliminated. Our process is designed to create a model that is visually similar to the original model but possessing greater structural integrity.