基于OPRA_m的三维相对方位关系模型

Model for three-directional relative directions based on OPRA_m

OPRAm是研究二维相对方位关系的经典模型之一,但解决实际问题通常需要考虑多维空间中的方位关系,为了表达三维空间中点对象间相对方位关系,将xoy平面相对方位和z轴相对方位相结合;通过定义与之相对应的能表达相对方位信息的两个相对角得到3DOPRAm模型,并给出其在多粒度下的形式化定义及逆关系。给出了3DOPRAm模型的概念邻域。最后用其基于动作的邻域关系描述汽车导航问题。结果表明,本文提出的模型能够细致、合理地表达三维空间中点对象间的相对方位关系,在实际中有广泛的应用前景。

OPRAmis the classical model in the study of two-dimensional direction relationship.However,to solve practical problems,the multi-directional space relationship should be considered.In order to express the relative direction in three-dimensional space,the relative direction of the xoy plane is combined with the relative direction of the z-axis.A three-dimensional relative direction model,3DOPRAm,is proposed by extending the model OPRAm for two-dimensional direction relationship,and two new relative angles are defined.Moreover,the formal definition of 3DOPRAm multi-granularity,its reverse relationship and the conceptual neighborhood of 3DOPRAm are given.Finally,the conceptual neighborhood based on the action of 3DOPRAmmodel is applied to describe the car navigation problems.Results show that,compared with existing two-dimensional model,the proposed model is more expressive and can describe more relative directions in three-dimensional space,which has great potential for practical applications.