Shape approximation by developable wrapping
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Date
2020-11
Publication Type
Journal Article
ETH Bibliography
yes
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Abstract
We present an automatic tool to approximate curved geometries with piece-wise developable surfaces. At the center of our work is an algorithm that wraps a given 3D input surface with multiple developable patches, each modeled as a discrete orthogonal geodesic net. Our algorithm features a global optimization routine for effectively finding the placement of the developable patches. After wrapping the mesh, we use these patches and a non-linear projection step to generate a surface that approximates the original input, but is also amendable to simple and efficient fabrication techniques thanks to being piecewise developable. Our algorithm allows users to steer the trade-off between approximation power and the number of developable patches used. We demonstrate the effectiveness of our approach on a range of 3D shapes. Compared to previous approaches, our results exhibit a smaller or comparable error with fewer patches to fabricate.
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Publication status
published
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Book title
Journal / series
Volume
39 (6)
Pages / Article No.
200
Publisher
Association for Computing Machinery
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Edition / version
Methods
Software
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Date collected
Date created
Subject
Organisational unit
03911 - Sorkine Hornung, Olga / Sorkine Hornung, Olga
02284 - NFS Digitale Fabrikation / NCCR Digital Fabrication