Constant mean curvature surfaces derived from Delaunay's and Wente's examples
Visualization and mathematics
Composite primal/dual √3-subdivision schemes
Computer Aided Geometric Design
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Remeshing Schemes for Semi-Regular Tilings
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Constrained planar remeshing for architecture
GI '07 Proceedings of Graphics Interface 2007
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Freeform surfaces from single curved panels
ACM SIGGRAPH 2008 papers
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
ACM SIGGRAPH Asia 2008 papers
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
Packing circles and spheres on surfaces
ACM SIGGRAPH Asia 2009 papers
Constraint-based model synthesis
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Discrete surfaces in isotropic geometry
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
ACM SIGGRAPH 2010 papers
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Triangle surfaces with discrete equivalence classes
ACM SIGGRAPH 2010 papers
Parametric polynomial minimal surfaces of degree six with isothermal parameter
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
A kinematic approach to Kokotsakis meshes
Computer Aided Geometric Design
Technical Section: Example-based curve synthesis
Computers and Graphics
Computer-generated residential building layouts
ACM SIGGRAPH Asia 2010 papers
Meshes for multilayer freeform structures
Proceedings of the 24th Spring Conference on Computer Graphics
ACM SIGGRAPH 2011 papers
Shape space exploration of constrained meshes
Proceedings of the 2011 SIGGRAPH Asia Conference
General planar quadrilateral mesh design using conjugate direction field
Proceedings of the 2011 SIGGRAPH Asia Conference
Darboux cyclides and webs from circles
Computer Aided Geometric Design
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Modeling Polyhedral Meshes with Affine Maps
Computer Graphics Forum
Structural optimization of 3D masonry buildings
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Discrete line congruences for shading and lighting
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
| Hi-index | 0.00 |
The geometric challenges in the architectural design of freeform shapes come mainly from the physical realization of beams and nodes. We approach them via the concept of parallel meshes, and present methods of computation and optimization. We discuss planar faces, beams of controlled height, node geometry, and multilayer constructions. Beams of constant height are achieved with the new type of edge offset meshes. Mesh parallelism is also the main ingredient in a novel discrete theory of curvatures. These methods are applied to the construction of quadrilateral, pentagonal and hexagonal meshes, discrete minimal surfaces, discrete constant mean curvature surfaces, and their geometric transforms. We show how to design geometrically optimal shapes, and how to find a meaningful meshing and beam layout for existing shapes.