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Interactive Design of Developable Surfaces
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DOI：10.1145/2832906.png)
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Abstract
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We present a new approach to geometric modeling with developable surfaces and the design of curved-creased origami. We represent developables as splines and express the nonlinear conditions relating to developability and curved folds as quadratic equations. This allows us to utilize a constraint solver, which may be described as energy-guided projection onto the constraint manifold, and which is fast enough for interactive modeling. Further, a combined primal-dual surface representation enables us to robustly and quickly solve approximation problems.
Keywords:
Interactive design
computational differential geometry
developable surface
spline surface
origami
curved folding
isometric deformation
digital reconstruction
constraint solving
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