Triangulated surface flattening based on the physical shell model
Triangulated surface flattening based on the physical shell model
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DOI：
10.1007/s12206-018-0425-0
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发表时间：
2018-05
影响因子：
1.6
通讯作者：
Bing Yi;Yue Yang;R. Zheng;Xiongbing Li;Minhan Yi
中科院分区：
文献类型：
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作者：
Bing Yi;Yue Yang;R. Zheng;Xiongbing Li;Minhan Yi
三角曲面展开在汽车、火车、飞机等复杂产品的曲面造型设计中起着重要的作用。为了辅助曲面模型的设计，我们提出了一种利用物理壳模型从三维三角曲面生成二维展开模式的新方法。该方法可分为两个主要步骤：局部步骤和全局步骤。在局部步骤中，构造了基于边的弹簧拉伸和基于铰链的弯曲模型，只将局部弹簧拉伸单元投影到约束流形上。在全局步骤中，结合单个投影的结果，通过求解一个简化的全局矩阵，得到所有单个约束之间的折衷，并考虑全局影响。结果表明，该方法可以从复杂的三维网格曲面成功高效地计算出可展平的网格曲面。
Triangulated surface flattening plays an important role in the surface shape design of a complex product, such as a vehicle, a train and an air plane. We propose a new method of generating 2D flat patterns from a 3D triangulated surface by the physical shell model to assist in the design of the surface model. The proposed method can be divided into two primary steps: Local and global steps. In the local step, edge based spring stretching and hinge based bending model are constructed and only the local spring stretch element is projected onto the constraint manifold. In the global step, the results of individual projections are combined, and by solving a simplified global matrix, a compromise between all of the individual constraints is obtained, and the global effects are also considered. The result indicates that the proposed method can compute a flattenable mesh surface from complex 3D mesh surfaces successfully and efficiently.