关键词: Catmull—Clark细分曲面, 拓扑结构, 曲面裁剪, 控制网格

Abstract:

In CAD/CAM engineering, surface trimming is one of the most important and complex problems and quadrangular meshes are widely employed. In this paper, a surface trimming operation based on the Catmull-Clark subdivision is proposed for the quadrangle meshes. In this operation, the topology structure and vertex positions of the control mesh at intersection points are locally modified after the subdivision surface intersection has been finished, thus successfully implementing the surface trimming. The positions of arbitrary point of the control mesh on the subdivision surface are evaluated and the flow and application examples of the trimming algorithm are presented.

Key words: Catmull-Clark subdivision surface, topology structure, surface trimming, control mesh