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Bi-cubic Scaffold Surfaces
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DOI：10.1016/j.cad.2022.103310.png)
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摘要
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Scaffold-like surfaces, ranging from large-scale trusses to engineered micro-structures, are often sketched via repeating patterns of nodes and edges. Offsetting these graphs turns them into meshes for which a smoothly-rounded scaffold surface 'skin' needs to be locally generated on the fly for production or analysis. We focus on minimal single-valence (MSV) quad meshes whose irregular vertices all have the same valence n and closest pairs are separated by exactly one regular, 4-valent vertex. Though at a first glance rather special, MSV meshes can model various micro-structures or trusses that occur in CAD or biology. Remarkably, bi-cubic patches provide a smooth skin of high quality, in many practical configurations with just one patch per quad. Crown Copyright (C) 2022 Published by Elsevier Ltd. All rights reserved.
Keyword:
Scaffold surface
Minimal single-valence mesh
Smooth surface
Graph micro structure
Truss rounding
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