Fundamentals of matrix computations
Fundamentals of matrix computations
As-rigid-as-possible shape interpolation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Discrete differential forms for computational modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
A simple geometric model for elastic deformations
ACM SIGGRAPH 2010 papers
On local deformations of planar quad-meshes
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
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
Connectivity editing for quadrilateral meshes
Proceedings of the 2011 SIGGRAPH Asia Conference
Hexagonal Global Parameterization of Arbitrary Surfaces
IEEE Transactions on Visualization and Computer Graphics
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We offer a framework for editing and modeling of planar meshes, focusing on planar quad, and hexagonal-dominant meshes, which are held in high demand in the field of architectural design. Our framework manipulates these meshes by affine maps that are assigned per-face, and which naturally ensure the planarity of these faces throughout the process, resulting in a linear subspace of compatible planar deformations for any given mesh. Our modeling metaphors include classical handle-based editing, mesh interpolation, and shape-space exploration, all of which allow for an intuitive way to produce new polyhedral and near-polyhedral meshes by editing. © 2012 Wiley Periodicals, Inc.