Abstract
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.
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Recommended by Associate Editor Ki-Hoon Shin
Bing Yi is an Associate Professor of Central South University. His research interests include computer aided design, virtual reality, structural topology optimization and 3D printing, computer vision and graphics, digital prototype technology.
Yang Yue is a Professor of Central South University. His main research directions include research on digital design and manufacturing of rail transit equipment and complex products, intelligent maintenance and nondestructive testing of traffic equipment, and virtual reality design and maintenance of products.
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Yi, B., Yang, Y., Zheng, R. et al. Triangulated surface flattening based on the physical shell model. J Mech Sci Technol 32, 2163–2171 (2018). https://doi.org/10.1007/s12206-018-0425-0
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DOI: https://doi.org/10.1007/s12206-018-0425-0