Deriving topological relations from topologically augmented direction relation matrices

Deriving topological relations from topologically augmented direction relation matrices
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DOI:
10.5311/josis.2021.23.155
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发表时间:
2021-12
影响因子:
1.4
通讯作者:
Matthew P. Dube
Matthew P. Dube
中科院分区:
--
文献类型:
--
作者:
Matthew P. Dube

文献摘要

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拓扑关系和方向关系代表了定性空间推理的三重体系。研究人员以前曾尝试使用方向关系矩阵来推导拓扑关系,发现没有单一的方向关系矩阵可以隔离特定的拓扑关系。在本文中,拓扑增广的技术被应用到相同的问题,确定一个唯一的拓扑关系在28.6%的所有拓扑增广的方向关系矩阵,并进一步实现了减少在进一步的40.4%的拓扑增广的方向关系矩阵相比,他们的香草方向关系矩阵对应。
Topological relations and direction relations represent two pieces of the qualitative spatial reasoning triumvirate. Researchers have previously attempted to use the direction relation matrix to derive a topological relation, finding that no single direction relation matrix can isolate a particular topological relation. In this paper, the technique of topological augmentation is applied to the same problem, identifying a unique topological relation in 28.6% of all topologically augmented direction relation matrices, and furthermore achieving a reduction in a further 40.4% of topologically augmented direction relation matrices when compared to their vanilla direction relation matrix counterpart.