Visual motion of curves and surfaces
Visual motion of curves and surfaces
Computational Line Geometry
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis
IEEE Transactions on Visualization and Computer Graphics
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
The Visual Computer: International Journal of Computer Graphics
Degree elevation and developable Bézier surfaces
Computer Aided Geometric Design
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Triangular mesh offset for generalized cutter
Computer-Aided Design
Constrained planar remeshing for architecture
GI '07 Proceedings of Graphics Interface 2007
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Robust principal curvatures on multiple scales
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Developable surfaces from arbitrary sketched boundaries
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Towards flattenable mesh surfaces
Computer-Aided Design
WireWarping: A fast surface flattening approach with length-preserved feature curves
Computer-Aided Design
ACM SIGGRAPH 2008 papers
Freeform surfaces from single curved panels
ACM SIGGRAPH 2008 papers
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Pattern computation for compression garment
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
A note on least-norm solution of global WireWarping
Computer-Aided Design
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
Packing circles and spheres on surfaces
ACM SIGGRAPH Asia 2009 papers
Pattern computation for compression garment by a physical/geometric approach
Computer-Aided Design
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
Surfaces with piecewise linear support functions over spherical triangulations
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
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
Editing operations for irregular vertices in triangle meshes
ACM SIGGRAPH Asia 2010 papers
ACM SIGGRAPH 2011 papers
SMI 2011: Full Paper: Shape optimization of quad mesh elements
Computers and Graphics
Industrial design using interpolatory discrete developable surfaces
Computer-Aided Design
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
Beady: interactive beadwork design and construction
SIGGRAPH Asia 2011 Sketches
Beady: interactive beadwork design and construction
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Design of self-supporting surfaces
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
Vertex location optimisation for improved remeshing
Graphical Models
Modeling Polyhedral Meshes with Affine Maps
Computer Graphics Forum
Shape-Up: Shaping Discrete Geometry with Projections
Computer Graphics Forum
Computer Graphics Forum
Structural optimization of 3D masonry buildings
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Designing unreinforced masonry models
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG)
Connectivity editing for quad-dominant meshes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Discrete line congruences for shading and lighting
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Hi-index | 0.00 |
In architectural freeform design, the relation between shape and fabrication poses new challenges and requires more sophistication from the underlying geometry. The new concept of conical meshes satisfies central requirements for this application: They are quadrilateral meshes with planar faces, and therefore particularly suitable for the design of freeform glass structures. Moreover, they possess a natural offsetting operation and provide a support structure orthogonal to the mesh. Being a discrete analogue of the network of principal curvature lines, they represent fundamental shape characteristics. We show how to optimize a quad mesh such that its faces become planar, or the mesh becomes even conical. Combining this perturbation with subdivision yields a powerful new modeling tool for all types of quad meshes with planar faces, making subdivision attractive for architecture design and providing an elegant way of modeling developable surfaces.