中文摘要：

针对拓扑约束型模型难以进行变结构处理的问题，提出了一种约束释放、形状变形、拓扑重构的变结构设计方法。对三维实体进行面片分解以形成面片族，结合增减关键点的策略，以使每一曲面点集的局部拓扑关系确定化，只记录实体点集的数据而释放其拓扑连接关系。通过对约束释放的拓扑自由面片进行细分操作，并运用工具对其进行编辑，实现了变结构处理。对编辑完成的面片进行优化和拓扑重构操作，完成变结构的过程。最后给出了应用实例。

英文摘要：

The paper presented a novel technique for sculpting and metamorphosing Solid Models using point-based geometry without carrying about the alignment of point set on a certain surface. The technique decomposed the Solid into a set of surfaces, synchronously using the strategy that increasing or decreasing the key points to make each surface having the right topology structure, thus one needed only to record entity points data but release its topology relation. The paper permited an easy way that using tools to change Solid Model＇s topology properly thanks to the free-topology structure of point set. We used this technique for Solid Model design. Several examples were demonstrated using the proposed method.