Representation and deformation of developable surfaces
Computer-Aided Design
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The Visual Computer: International Journal of Computer Graphics - Special issue on computer animation 1989/90
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IEEE Computer Graphics and Applications
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
A technique for constructing developable surfaces
GI '96 Proceedings of the conference on Graphics interface '96
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The Visual Computer: International Journal of Computer Graphics
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ACM SIGGRAPH 2008 papers
Animating developable surfaces using nonconforming elements
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
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ACM SIGGRAPH 2008 papers
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IEEE Transactions on Visualization and Computer Graphics
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CHI '09 Extended Abstracts on Human Factors in Computing Systems
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SYNASC '08 Proceedings of the 2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
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Computer Aided Geometric Design
Origamizing Polyhedral Surfaces
IEEE Transactions on Visualization and Computer Graphics
Origami fold as algebraic graph rewriting
Journal of Symbolic Computation
A fully geometric approach for developable cloth deformation simulation
The Visual Computer: International Journal of Computer Graphics
Folding and crumpling adaptive sheets
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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We introduce a discrete paradigm for developable surface modeling. Unlike previous attempts at interactive developable surface modeling, our system is able to enforce exact developability at every step, ensuring that users do not inadvertently suggest configurations that leave the manifold of admissible folds of a flat two-dimensional sheet. With methods for navigation of this highly nonlinear constraint space in place, we show how to formulate a discrete mean curvature bending energy measuring how far a given discrete developable surface is from being flat. This energy enables relaxation of user-generated configurations and suggests a straightforward subdivision scheme that produces admissible smoothed versions of bent regions of our discrete developable surfaces. © 2012 Wiley Periodicals, Inc.