SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Interactive physically-based manipulation of discrete/continuous models
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Modeling inelastic deformation: viscolelasticity, plasticity, fracture
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Introduction to Linear Optimization
Introduction to Linear Optimization
Creating models of truss structures with optimization
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
ACM SIGGRAPH 2004 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics
ACM SIGGRAPH 2007 papers
As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
ACM SIGGRAPH 2008 papers
Freeform surfaces from single curved panels
ACM SIGGRAPH 2008 papers
iWIRES: an analyze-and-edit approach to shape manipulation
ACM SIGGRAPH 2009 papers
Joint-aware manipulation of deformable models
ACM SIGGRAPH 2009 papers
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Reciprocal frame structures made easy
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Computing self-supporting surfaces by regular triangulation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
On the equilibrium of simplicial masonry structures
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
Designing unreinforced masonry models
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Generating and exploring good building layouts
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Computational design of actuated deformable characters
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Structure-aware shape processing
SIGGRAPH Asia 2013 Courses
Cross-sectional structural analysis for 3D printing optimization
SIGGRAPH Asia 2013 Technical Briefs
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In the design of buildings, structural analysis is traditionally performed after the aesthetic design has been determined and has little influence on the overall form. In contrast, this paper presents an approach to guide the form towards a shape that is more structurally sound. Our work is centered on the study of how variations of the geometry might improve structural stability. We define a new measure of structural soundness for masonry buildings as well as cables, and derive its closed-form derivative with respect to the displacement of all the vertices describing the geometry. We start with a gradient descent tool which displaces each vertex along the gradient. We then introduce displacement operators, imposing constraints such as the preservation of orientation or thickness; or setting additional objectives such as volume minimization.