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A New Grid-based Midsurface Generation Algorithm

: Schinko, Christoph; Ullrich, Torsten

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Akleman, E. ; International Society of the Arts, Mathematics, and Architecture -ISAMA-:
HYPERSEEING. The Proceedings of the SMI 2020 Fabrication & Sculpting Event (FASE) : Special Issue on Shape Modeling International 2020, 2-4 June 2020, Strasbourg, France
Strasbourg, 2020
ISBN: 978-0-359-71699-9
Shape Modeling International Conference (SMI) <2020, Strasbourg>
Fabrication & Sculpting Event (FASE) <2020, Strasbourg>
Conference Paper, Electronic Publication
Fraunhofer Austria ()

A midsurface consists of surface elements (2D) representing three-dimensional, thin solids whose local thickness is small compared to its other dimensions. These simplified representations allow a significant acceleration of almost all physical simulations – a prerequisite for rapid prototyping in the context of 3D additive manufacturing. In this article we present a new algorithm that can extract a midsurface of a thin solid using a grid-based approach: The first step builds a binary 3D grid and marks each voxel that contains some part of the input surface geometry. The second step interprets the binary grid as a density field and applies a kernel to it. In the third step, the vertices of the original input data are moved within the density field towards the climax. Finally, vertices which approach each other are clustered and merged. Having merged all clusters of vertices, the resulting two-sided, incident surfaces are merged to one-sided surfaces. The result is a midsurface. The algorithm has been designed to run fully automatic and the presented proof of concept delivers convincing results.