Interactive design of developable surfaces

C. Tang; P. Bo; J. Wallner; H. Pottmann

doi:10.1145/2832906

Interactive design of developable surfaces

C. Tang, P. Bo, J. Wallner, H. Pottmann

Institute of Geometry (5070)

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

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
Pages (from-to)	12,1-12
Journal	ACM Transactions on Graphics
Volume	35
Issue number	2
DOIs	https://doi.org/10.1145/2832906
Publication status	Published - 2016

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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10.1145/2832906

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title = "Interactive design of developable surfaces",

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.",

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AU - Tang, C.

AU - Bo, P.

AU - Wallner, J.

AU - Pottmann, H.

PY - 2016

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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.

UR - http://dl.acm.org/citation.cfm?doid=2832906

U2 - 10.1145/2832906

DO - 10.1145/2832906

M3 - Article

VL - 35

SP - 12,1-12

JO - ACM Transactions on Graphics

JF - ACM Transactions on Graphics

SN - 0730-0301

IS - 2

ER -

Interactive design of developable surfaces

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