文献类型：期刊文献

英文题名：A free-form surface flattening algorithm that minimizes geometric deformation energy

作者：Zheng, Pengfei[1,2,3];Liu, Qing[1];Lou, Jingjing[1];Lian, Chengjie[2];Lin, Dajun[3]

机构：[1]Yiwu Ind & Commercial Coll, Sch Mech Informat, Yiwu 322000, Peoples R China;[2]HC Semitek Corp, Zhejiang Prov Key Lab Third Generat Semicond Mat, Yiwu, Peoples R China;[3]East China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai, Peoples R China

年份：2022

卷号：16

期号：9

起止页码：2544

外文期刊名：IET IMAGE PROCESSING

收录：;EI(收录号：20221611969738);WOS:【SCI-EXPANDED(收录号:WOS:000782452600001)】；

基金：Zhejiang Education Department in 2020, China, Grant/Award Numbers: FG2020196, FG2020197; 13th Five-Year Plan of Zhejiang Higher Education, China, Grant/Award Number: jg20190878; Welfare Science and Technology Research Project of Jinhua, Zhejiang Province, China, Grant/Award Number: 2021-4-386

语种：英文

外文关键词：Iterative methods - Deformation - Stamping - Surface measurement - Geometry

摘要：Based on the analysis of the advantages and disadvantages of existing surface flattening algorithms, this paper proposes a free-form surface flattening algorithm that minimizes geometric deformation by combining the advantages of the geometric flattening method and the mechanical energy flattening method to address the problems of many iterations, large changes in convergence, and weak visualization of deformation. The point cloud surface is meshed using the triangular slice search method, and the 3D surface mesh is wrapped around the surface using geometric mapping relationships. The initial correction and deformation analysis of the ring flatten graphic are carried out according to the average flattening error, and a global geometric deformation energy model is established to obtain the energy-minimizing unfolding conditions and optimize the initial flattening graph by iterative optimization. The verification of the algorithm shows that the algorithm is general, has good robustness, high flattening accuracy, and visualizes the flattening deformation. The method is suitable for some design occasions of machining, such as the flattening calculation of automobile outer cladding parts and sheet metal parts. It is especially suitable for the flattening calculation of ring-like parts, and is a good guide for the design calculation and stamping process of sheet-metal-like parts.