Interactive Design of Developable Surfaces

Chengcheng Tang; Pengbo Bo; Johannes Wallner; Helmut Pottmann

doi:10.1145/2832906

Interactive Design of Developable Surfaces

Chengcheng Tang, Pengbo Bo, Johannes Wallner, Helmut Pottmann

Research output: Contribution to journal › Article › peer-review

110 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 language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	ACM Transactions on Graphics
Volume	35
Issue number	2
DOIs	https://doi.org/10.1145/2832906
State	Published - Jan 15 2016

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design

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10.1145/2832906

https://repository.kaust.edu.sa/bitstream/10754/596619/1/abw.pdf

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AU - Bo, Pengbo

AU - Wallner, Johannes

AU - Pottmann, Helmut

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N2 - 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.

AB - 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.

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Interactive Design of Developable Surfaces

Abstract

ASJC Scopus subject areas

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