An algorithm for multi-resolution analysis of NURBS surfaces

作者：Wang, Aizeng; Zhao, Gang^*

来源：Computers & Mathematics with Applications, 2016, 72(3): 642-652.

DOI：10.1016/j.camwa.2016.05.018

• Multi-resolution analysis
• Surface
• CAE
• T-mesh

A new algorithm is proposed for the multi-resolution representation of NURBS (Non-Uniform Rational B-Spline) surfaces with boundary consistency constraints. The kernel idea is to employ T-meshes (T-spline control meshes) to construct the multi-resolution representation for surfaces. To this end, the original B-mesh (B-spline control mesh) is first divided into a boundary part and an inner one; then, the multi-resolution representation of the inner part is achieved by wavelet transform; at last, the topology of the boundary part is added onto the obtained multi-resolution meshes to construct the final T-spline based multi-resolution representation result. The boundary shapes keep unchanged in the whole process of the treatment, because the boundary consistency constraints are always contained in the boundary part. This advantage of the new algorithm is demonstrated by three examples.

• 出版日期2016-8
• 单位北京航空航天大学; 虚拟现实技术与系统国家重点实验室