吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (05): 1325-1330.doi: 10.7964/jdxbgxb201305029

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Reasoning method for ternary projective relations of points on a sphere

OUYANG Ji-hong1,2, MA Ling1,2   

  1. 1. College of Computer Science and Technology, Jilin University, Changchun 130012, China;
    2. Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China
  • Received:2012-07-22 Online:2013-09-01 Published:2013-09-01

Abstract:

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.

Key words: artificial intelligence, qualitative spatial reasoning, projective relation, reasoning, spherical geometry

CLC Number: 

  • TP18

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