Interactive Design of Developable Surfaces

Chengcheng Tang, Pengbo Bo, Johannes Wallner, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

70 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalACM Transactions on Graphics
Volume35
Issue number2
DOIs
StatePublished - Jan 15 2016

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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