关键词: 机械制造自动化, 空间四边界区域, 网格划分, NURBS曲面, 坐标变换

Abstract: Basic methods of parametrization of the 3D foursided region on the triangular mesh were analyzed, and a new method of fast parametrization of the 3D foursided region data was proposed based on the segmentation of the 3D foursided region on the triangular mesh model. By the coordinate transform and the projection of the points into a plane, the difficult parametrization in a 3D foursided region is changed into a grid generation problem in a planar foursided region. A bidirectional flexible grid generation algorithm to form the planar foursided region by the broken line sides was suggested to deal with the difficult data acquisition problem in the segmented 3D foursided region of the complex curved surface in the reverse engineering. A strong technical support was provided for merging and fitting several NURBS surfaces of the multipiece 3D foursided regions.

Key words: mechanical manufacture and automation, 3D foursided region, grid generation, NURBS surface, coordinate transform