Open AccessReconstruction of multi‐balloon copying curved surface based on linear distance field function optimisation
Author(s) -
Lv XiaoMin,
Lin JianWei,
Gu HanJie
Publication year - 2020
Publication title -
iet collaborative intelligent manufacturing
Language(s) - English
Resource type - Journals
ISSN - 2516-8398
DOI - 10.1049/iet-cim.2019.0040
Subject(s) - smoothness , curvature , point cloud , surface reconstruction , surface (topology) , mathematics , poisson's equation , signed distance function , geometry , mathematical analysis , computer vision , algorithm , computer science
Aiming at the problems of low precision of three‐dimensional (3D) curved surface reconstruction and poor surface smoothness of the reconstruction result, a method based on linear distance field function optimisation is proposed for the reconstruction of multi‐balloon copying curved surface. First, curvature weighting is conducted for the curved surface point cloud model constructed with the Poisson's equation (PE), and the boundary value limiting condition of average curvature is used to conduct the smoothness processing of the curved surface; second, due to the dynamic deformation characteristic of multi‐balloon copying curved surface, the linear distance field function is used to globally register the non‐deformable area and the deformable area, and the distance field gradient is used to estimate the non‐deformable area. Moreover, self‐adaptive weight optimisation is conducted with the matching confidence level for deformable regions, thus to improve the registration accuracy of 3D point clouds. The simulation results show that the method proposed in this study improves the registration accuracy and surface reconstruction smoothness of standard PE.