一种半球面方位关系表示模型

A Representation Model of Direction Relations on Hemispherical Surface

提出一种表达半球面方位关系的模型——最小边界扇区模型(MBS),将半球面上区域自上而下正投影到底面,且根据参考对象在底面的投影位置,将投影面划分为12个原子区域.根据研究区域占原子区域的个数等信息来刻画区域间方位关系,不但可表达出左右等方位关系,还可通过区域上点到中心的距离关系定性表达半球面上区域的高度关系等信息.给出MBS模型中可能存在的1932种情形.为进一步研究MBS模型下的推理及复合表的构造,给出此模型下的关系矩阵表示方法,通过此关系矩阵亦可方便推知原半球面上区域间的方位关系.

A Minimum Bounding Sector model（MBS） is proposed which represents the direction relationship on hemispherical surface.The model projects the region on the hemispherical surface to the bottom and divides the bottom region into 12 atom areas based on the projection of the region on the hemispherical surface.In this way,the model not only represents the direction relations such as left and right,but also represents the height information qualitatively by means of the distance between the points and the center on the projection plane.And the 1932 cases that exists in the MBS is also represented.As to the further research on reasoning and the composition table,the relational matrix is proposed through which the direction relations between regions on the hemispherical surface are deduced conveniently.