Bending and Creasing Virtual Paper
IEEE Computer Graphics and Applications
Computational Line Geometry
Multiple-Rank Modifications of a Sparse Cholesky Factorization
SIAM Journal on Matrix Analysis and Applications
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
The Visual Computer: International Journal of Computer Graphics
Degree elevation and developable Bézier surfaces
Computer Aided Geometric Design
Developable surface fitting to point clouds
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes
International Journal of Computer Vision
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Paper craft models from meshes
The Visual Computer: International Journal of Computer Graphics
Geometric Folding Algorithms: Linkages, Origami, Polyhedra
Geometric Folding Algorithms: Linkages, Origami, Polyhedra
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Developable surfaces from arbitrary sketched boundaries
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Curvature and Creases: A Primer on Paper
IEEE Transactions on Computers
Papercraft Models using Generalized Cylinders
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
Towards flattenable mesh surfaces
Computer-Aided Design
Piecewise developable surface approximation of general NURBS surfaces, with global error bounds
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Popup: automatic paper architectures from 3D models
ACM SIGGRAPH 2010 papers
Making burr puzzles from 3D models
ACM SIGGRAPH 2011 papers
Industrial design using interpolatory discrete developable surfaces
Computer-Aided Design
Slices: a shape-proxy based on planar sections
Proceedings of the 2011 SIGGRAPH Asia Conference
Position-correcting tools for 2D digital fabrication
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Continuous deformations by isometry preserving shape integration
Proceedings of the 7th international conference on Curves and Surfaces
Rationalization of Triangle-Based Point-Folding Structures
Computer Graphics Forum
Computer Graphics Forum
Recursive interlocking puzzles
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Structural optimization of 3D masonry buildings
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
O-snap: Optimization-based snapping for modeling architecture
ACM Transactions on Graphics (TOG)
Folding and crumpling adaptive sheets
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.