一种球面点投影关系的推理方法  

Reasoning method for ternary projective relations of points on a sphere

作　　者：欧阳继红[1,2] 马玲[1,2] 

机构地区：[1]吉林大学计算机科学与技术学院,长春130012 [2]吉林大学符号计算与知识工程教育部重点实验室,长春130012

出　　处：《吉林大学学报（工学版）》2013年第5期1325-1330,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(61170092,61133011,61272208,61103091,61202308)

摘　　要：在详细分析球面特性与模型的基础上,提出了球面点投影关系的推理算法,该算法能得到球面8种投影关系的逆关系与翻转关系以及8种投影关系间的复合关系,并以表格形式给出。通过查表,可以由已知的球面投影关系得到未知的球面投影关系。该推理方法完善了球面投影关系模型,为其实际应用奠定了基础。A reasoning method for ternary projective relations of points on a sphere was proposed based on the analysis of the model and unique properties of the spherical surface. The reasoning method can get the converses and rotations of eight spherical projective relations, and the compositions of the eight spherical projective relations. These results are shown in tables. By querying the tables, the unknown spherical projective relations can be obtained from those already known. This reasoning method completes the spherical projective relational models and lays the foundation for its practical application.

关 键 词：人工智能 定性空间推理 投影关系 推理方法 球面几何 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]