Bézier segmentation of t-spline solids in parametric domain

In order to solve the problem of Bézier segmentation of T-spline solids in parametric domains, a T-spline solid Bézier segmentation algorithm based on dimension decomposition is proposed. Firstly, the algorithm simplifies the problem by decomposing the three-dimensional parametric domain into three one-dimensional parametric domains. Then, the definition domain of a T-spline solid element is segmented according to the knot vector of the T-spline vertex. Finally, the segmentation results are combined with the Bézier extraction matrix to complete the extraction of the T-spline solid. The effectiveness of the proposed algorithm is verified by examples.