Developable Structure Design of 3D Model Using Segmentation

With the rapid development of flexible manufacturing and precision equipment, the expansion linkage and other deployable structure approximation technology based on 3D mesh model has become a research hot spot. The deployable structure with negative Poisson’s ratio can change the shape by geometric transformations such as bending and stretching, and convert between the 2D planar structure and its 3D structure. To address the shortcomings, such as not being suitable for 3D closed models and not being able to achieve model boundary shape matching, this article proposes a 3D mesh model expandable structure design method based on segmentation. Firstly, the closed 3D mesh model is segmented as a prepossessing. Secondly, fixed boundary mapping is used instead of the re-meshing as the basis for constructing the initial linkage structure, and the boundary is constructed based on boundary shape matching constraints. Then, the nonlinear constraint optimization problem is constructed, and the shrinkable 3D unfolded linkage structure is obtained, and the 2D linkage structure is optimized by the constraints such as projected edge length, and a compact 2D shrinkage linkage structure is obtained. The boundary matching and distortion show that the proposed algorithm can effectively realize the deployable structure design of closed 3D mesh model with disc-identical morphism, and has significant advantages in boundary shape matching and 2D shrinkage linkage compactness.