Maintaining knowledge about temporal intervals
Communications of the ACM
Topological Invariants for Lines
IEEE Transactions on Knowledge and Data Engineering
ER '99 Proceedings of the Workshops on Evolution and Change in Data Management, Reverse Engineering in Information Systems, and the World Wide Web and Conceptual Modeling
Metric details of topological line-line relations
International Journal of Geographical Information Science
A spatial odyssey of the interval algebra: 1. directed intervals
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Structure and semantics of arrow diagrams
COSIT'05 Proceedings of the 2005 international conference on Spatial Information Theory
Spherical topological relations
Journal on Data Semantics III
The head-body-tail intersection for spatial relations between directed line segments
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
Twelve years of diagrams research
Journal of Visual Languages and Computing
Hi-index | 0.00 |
Illustrating a dynamic process with an arrow-containing diagram is a widespread convention in people's daily communications. In order to build a basis for capturing the structure and semantics of such diagrams, this paper formalizes the topological relations between two arrow symbols and discusses the influence of these topological relations on the diagram's semantics. Topological relations of arrow symbols are established by two types of links, intersections and common references, which are further categorized into nine types based on the combination of the linked parts. The topological relations are captured by the existence/non-existence of these nine types of intersections and common references. Then, this paper demonstrates that arrow symbols with different types of intersections typically illustrate two actions with different interrelations, whereas the arrow symbols with common references illustrate a pair of semantics that may be mutually exclusive or synchronized.