摘要
结合三维模型外形修改问题研究了约束推理求解方法.从约束参数结构入手分析了位姿约束组合的解耦性质,提出了约束分量独立求解的判据.对于定向约束,采用基于球面几何的向量映射技术确定了定向(角度)约束到球平面的映射形式;对于位姿解耦的定位约束,提出了基于几何投影与求交相结合的解析求解策略.该方法适用于欠约束、完整约束与过约束系统,通过实例验证了其有效性.
The reasoning constraint solving approaches are addressed for direct shape modification of 3D solid models. Firstly, the decouple properties of combined position and gesture constraints are analyzed by means of the structural constraint parameters, and various criterions are defined and used to determine whether the constraint components can be solved independently or not. Secondly, based on the spherical geometry, the mapping from spatial angular constraint to spherical plane is discussed, and used to solve gesture constraints. And, the analytic strategy for solving decoupled position constraints is presented through the combinations of geometric projection and intersection. The methods proposed in this paper are suitable for under-constrained, well-constrained, and over-constrained systems. Finally, an illustrative example is given to show that the methods are feasible.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第9期75-78,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(60503069)
湖北省自然科学基金资助项目(CGZ0021)
关键词
几何约束求解
约束解耦
约束推理
球面几何
直接编辑
geometric constraint solving
constraint decoupling
constraint reasoning
spherical geometry
direct editing
