Thanks to Tomohiro for this really useful set of links to papers discussing curved folding:
If you have more papers, then post a link in the comments...
great new paper...
pdfs from TT's page http://www.tsg.ne.jp/TT/cg/
About Rigid Origami Simulator http://www.tsg.ne.jp/TT/cg/SimulationOfRigidOrigami_tachi_4OSME.pdf
About Freeform Origami (Flat-foldable planar quad mesh origami is continuously rigid-foldable) http://www.tsg.ne.jp/TT/cg/RigidFoldableQuadMeshOrigami_tachi_IASS2...
Thickening Rigid Origami http://www.tsg.ne.jp/TT/cg/ThickRigidOrigami_tachi_5OSME.pdf Siggraph & AAG 2008 Kilian et al. Representing curved folding using planar quad mesh. http://graphics.stanford.edu/~niloy/research/folding/folding_sig_08...
David Huffman's famous paper http://www.computer.org/portal/web/csdl/doi/10.1109/TC.1976.1674542
Fuchs & Tabachnikov "More on Paper Folding" http://books.google.com/books?id=bomkJMq2H9sC&pg=PA213&lpg=...
Brief History of Curved Folding by Erik and Martin Demaine http://erikdemaine.org/curved/history/
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Nice paper discussing shading variation:
another paper, found via a search for TopMod:
http://www.viz.tamu.edu/faculty/ergun/research/topology/papers/gmp0...
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