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基于几何约束求解的完备方法

The Complete Method Based on Geometric Constraint Solving

  • 摘要: 针对参数化CAD在约束求解中的应用,提出了基于智能连杆的算法,该算法在扩充几何作图范围、改善算法复杂度方面都有明显的优势.将其同LIMO算法、几何变换方法、C-Tree算法、数值求解方法等方法相互融合,能够组成一套非常完备的几何约束求解框架,来完成对平面和空间几何约束问题的自动求解与图像生成.将该算法应用于智能动态几何软件的设计中,实验显示可以取得令人满意的结果.

     

    Abstract: This paper presents an algorithm based on the intelligent linkage with the application of parametric CAD in constraint solving.Our algorithm improves the geometric construction and complexity.Furthermore,by integrating with other methods,such as the LIM0 method,geometric transformed method, C-Tree method,numerical method and so on,we can build a complete geometric constraint solving framework which solves the 2D and 3D geometric constraint and can automatically give the construction.We also develop a dynamic geometric intelligent software based on the presented algorithm and the results demonstrate the significant performance.

     

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