Computational geometry: an introduction
Computational geometry: an introduction
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
Discrete Tensorial Quasi-Harmonic Maps
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Mathematical Programming: Series A and B
Design of tangent vector fields
ACM SIGGRAPH 2007 papers
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Discrete laplace operators: no free lunch
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
Discrete Calculus: Applied Analysis on Graphs for Computational Science
Discrete Calculus: Applied Analysis on Graphs for Computational Science
HOT: Hodge-optimized triangulations
ACM SIGGRAPH 2011 papers
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Structural optimization of 3D masonry buildings
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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We present a novel approach for the analysis and design of self-supporting simplicial masonry structures. A finite-dimensional formulation of their compressive stress field is derived, offering a new interpretation of thrust networks through numerical homogenization theory. We further leverage geometric properties of the resulting force diagram to identify a set of reduced coordinates characterizing the equilibrium of simplicial masonry. We finally derive computational form-finding tools that improve over previous work in efficiency, accuracy, and scalability.