A Conceptual Framework for Modelling Spatial Relations

Clementini, Eliseo

doi:10.5755/j01.itc.48.1.22246

Cited by 13 publications

(4 citation statements)

References 57 publications

(71 reference statements)

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“…In an intrinsic reference system, the origin and orientation of the coordinate system are determined based on a reference object. A deictic reference system is constructed using a primary object, a reference object, and a point of view that determines the orientation of the system [41,42]. An extrinsic reference system is desirable to describe the relative position between two nodes on a network map because a node has no intrinsic orientation, and there is no particular point of view in general.…”

Section: Relative Relations In Network Map Schematization: Definitionsmentioning

confidence: 99%

Revealing Schematic Map Designs with Preservation of Relativity in Node Position and Segment Length in Existing Official Maps

Ti,

Wu,

et al. 2023

IJGI

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Schematic maps have widely been used for representing transport networks. In the schematization process, preserving the relative position of nodes and the relative length of segments are considered highly important for constructing spatial cognition. Some researchers have regarded these as general principles of automated schematization. However, in-depth investigations into the conversion of these general principles into specific schematic network map designs are still lacking. This study aimed to empirically investigate how the two relative relations are preserved in existing manually produced schematic maps to better understand and interpret designer thinking. Official underground network maps of 32 cities were used in this study. The results revealed that (1) relative relations were largely preserved with a preservation ratio of approximately 80%, and the global preservation ratios of two relative relations were significantly higher than those of local preservation; (2) the preservation of relative position took priority over the preservation of relative length for the schematic maps with significant enlargement of dense regions; and (3) a reference object may be used for preserving relative relations, for example, the center region or major axis. The findings of this study will assist in developing and/or optimizing design rules for automated schematization while preserving relative relations.

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Section: Relative Relations In Network Map Schematization: Definitionsmentioning

confidence: 99%

Revealing Schematic Map Designs with Preservation of Relativity in Node Position and Segment Length in Existing Official Maps

Ti,

Wu,

et al. 2023

IJGI

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“…A spatial relation specifies how some entity is located in space in relation to some reference entity. Commonly used types of spatial relations are topological, orientation and distance relations (Clementini, 2019). Topological relations describe whether two non-disjoint entities intersect or not, and, in the former case, how they intersect (Randell et al, 1992;Mark, 1999).…”

Section: Spatial Relationsmentioning

confidence: 99%

Spatio-Temporal Graph for Improvement of Decision-Making in Risks Treatment

Messaoudi

Dekhici

Noureddine

2022

International Journal of Decision Support System Technology

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Failures that hinder the proper functioning of complex systems are characterised by frequencies of occurrence, rates of evolution and variables periodicities. Indeed, a good design of this kind of systems requires the elaboration of an adapted analysis and modelling approach, which takes into account the spatial-temporal dynamics of the systems elements dysfunction. This paper proposes a Spatio-temporal modelling approach integrated into a risk management methodology. This modelling allows both to describe the evolution of the system in space and in time, and to follow the spatial and temporal scope of a failure of the system in order to improve decision making in choosing the appropriate corrective action. The elements of the methodology are illustrated and validated by a case study of a wireless sensor network system.

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“…Bloch [35] extended the ''between'' relation to medical images and defined the concept of visibility. Accordingly, ''surround'' and ''along'' relations are modelled based on fuzzy sets in image understanding [36], [37]. The third method focuses on the computation of the direction relation, which has always been the focus of many scholars.…”

Section: Spatial Relations 1) Direction Relationmentioning

confidence: 99%

Indoors Positioning Based on Spatial Relationships in Locality Description

Wang

Xiu²,

Fan

et al. 2020

IEEE Access

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Spatial relationships exist in our daily communication and provide many locality clues, but minimal attention has been devoted to positioning localities indoors with spatial relationships extracted from locality descriptions. Locality description generally contains spatial relationships (i.e., topological, distance, and direction relations) and reference objects (ROs). For locality description positioning, distance and direction relation convey more clue than topology and combined together can provide much clue to positioning. Explicit and implicit features are inherent characteristics of locality descriptions. Based on the analysis of locality descriptions, a classification scheme of indoor locality descriptions is provided. To address the positioning locality with spatial relationships, we propose a two-state method. First, the located region is obtained according to the fuzzy region of spatial relations in locality description. Second, the probability distribution is determined, which is a joint probability function that consists of relative direction and distance (quantitative or qualitative distance) membership functions. The relative direction membership function is conducted based on human's direction cognition is related to angular information. The trapezoid quantitative distance membership function is based on indoor cognitive experiment. The qualitative distance membership function for indoor ROs is based on minimum Euclidean distance and stolen area. From the cognition and computation perspectives, the visible boundary met some restrictions is provided and a sampling method is defined. To obtain the unique positioning locality, a principle is proposed. We evaluate our method by conducting an indoor cognitive experiment and demonstrate that a positioning accuracy of 3.50 m can be achieved with semantically derived spatial relationships.

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A Conceptual Framework for Modelling Spatial Relations

Cited by 13 publications

References 57 publications

Revealing Schematic Map Designs with Preservation of Relativity in Node Position and Segment Length in Existing Official Maps

Revealing Schematic Map Designs with Preservation of Relativity in Node Position and Segment Length in Existing Official Maps

Spatio-Temporal Graph for Improvement of Decision-Making in Risks Treatment

Indoors Positioning Based on Spatial Relationships in Locality Description

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