2016
DOI: 10.21433/b3117gc866qs
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Time-Geography in Four Dimensions: Potential Path Volumes around 3D Trajectories

Abstract: An upcoming increase in availability and accuracy of 3D positioning requires development of new analytical approaches that will incorporate the third positional dimension, the elevation and model space and time as a 4D concept. In this paper we propose the extension of time geography into four dimensions. We generalise the time geography concept of a Potential Path Area into a Potential Path Volume around a 3D trajectory and present its mathematical definition. The algorithm for calculating PPVs around 3D traj… Show more

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Cited by 4 publications
(3 citation statements)
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“…All of the aforementioned 4M contexts, as illustrated in Figure 1, are constrained and are subjected to one of these spaces, and thus, the contexts are modeled differently. The movement spaces can be in any form of 1-D, 2-D, 2.5-D, 3-D, 76 and 4-D. 77 All of the above contexts are interrelated and affect one another or other entities in various manners (the solid arrows in Figure 1). We further present the relational and interactional additives of context to the introduced taxonomy.…”
mentioning
confidence: 99%
“…All of the aforementioned 4M contexts, as illustrated in Figure 1, are constrained and are subjected to one of these spaces, and thus, the contexts are modeled differently. The movement spaces can be in any form of 1-D, 2-D, 2.5-D, 3-D, 76 and 4-D. 77 All of the above contexts are interrelated and affect one another or other entities in various manners (the solid arrows in Figure 1). We further present the relational and interactional additives of context to the introduced taxonomy.…”
mentioning
confidence: 99%
“…Therefore, the exact path and the potential range of movement can be analysed using a space time prism (e.g. Kwan & Lee 2003; Winter & Yin 2011; Demsar & Long 2016; Liao 2019). In this study, the analysed timeframe includes multiple years.…”
Section: Methodsmentioning
confidence: 99%
“…This poses a particularly difficult problem for visualisation, not only from the perspective of having to show the third dimension on a two-dimensional display, but also from having this dimension significantly smaller than the other two dimensions, resulting in a ‘pancake’ display, a typical example of which are 3D kernel density volumes. 21 This can to some extent be alleviated through geometric methods 22 or by an alternative hexagonal representation of the 3D space. 23 Other 3D aspects of movement are captured by accelerometers (3D motion) and magnetometers (3D orientation) and this information can be used to augment other movement data.…”
Section: Visual Analytics For Movementmentioning
confidence: 99%