C. Tang, P. Bo, J. Wallner and H. Pottmann, Interactive design of developable surfaces, ACM Trans. Graphics, 35(2), 2016, #12,1-12.

Abstract:

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.

Bibtex: 

@article{tbwp-idds-16,
   author ={Chengcheng Tang and Pengbo Bo and Johannes Wallner and 
            Helmut Pottmann},
   title = {Interactive design of developable surfaces},
   journal="ACM Trans. Graphics",
   year = {2016},
   volume = {35},
   number = {2},
   pages = {#12,1--12},
}