Mesh Simplification for Unfolding*
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Author / Producer
Date
2024-02
Publication Type
Journal Article
ETH Bibliography
yes
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Abstract
We present a computational approach for unfolding 3D shapes isometrically into the plane as a single patch without overlapping triangles. This is a hard, sometimes impossible, problem, which existing methods are forced to soften by allowing for map distortions or multiple patches. Instead, we propose a geometric relaxation of the problem: We modify the input shape until it admits an overlap-free unfolding. We achieve this by locally displacing vertices and collapsing edges, guided by the unfolding process. We validate our algorithm quantitatively and qualitatively on a large dataset of complex shapes and show its proficiency by fabricating real shapes from paper.
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Publication status
published
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Book title
Journal / series
Volume
44 (1)
Pages / Article No.
Publisher
Wiley-Blackwell
Event
Edition / version
Methods
Software
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Date collected
Date created
Subject
fabrication; single patch unfolding; mesh simplification
Organisational unit
09809 - Bickel, Bernd / Bickel, Bernd