Post-graduate theses
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| Identifier |
000391350 |
| Title |
Temporal topology on fuzzy space-time volumes |
| Alternative Title |
Μοντελοποίηση χωροχρονικών όγκων βάσει ασαφούς χρόνου |
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Author
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Παπαδάκης, Εμμανουήλ Νικ.
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Reviewer
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Πλεξουσάκης, Δημήτρης
Doerr, Martin
Τζίτζικας, Γιάννης
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| Abstract |
The study of the past through the definition, description and association of
past periods is an important part of historical, archaeological and other research
processes. Since the past is not directly observable, evidence about past periods
or events is derived from the observation of traces that were left over by past phenomena.
However, data obtained about periods is imprecise due to limitations on
observation and definition, as well as information loss a set of facts that lead to uncertainty
with regard to their spatiotemporal modeling. The main objective of the
current thesis is to contribute to the theoretical foundations of spatiotemporal
modeling based on observation data, focusing on the impact of temporal indeterminacy
on the temporal topology over space-time volumes. Although there are
several approaches of modeling imprecise time, they mainly focus on pure temporal
reasoning. To the best of our knowledge, this is the first effort on temporal
reasoning over spatiotemporal entities that deals with time imprecision. We address
the following issues: temporal confinement of spatiotemporal entities based
on distinct and scarce information, adaptation of time point equality over temporal
indeterminacy, representation of temporal topology over fuzzy space-time
volumes and extraction of relevant topology based on semantic association. Our
work has several major outcomes. We propose a model that reconstructs the temporal
extent of a period, introducing determinacy and indeterminacy regions in
order to deal with time fuzziness. Association of indefinite intervals is achieved
with the introduction of a fuzzy interval algebra, as an alternative to Allen operators,
which focuses on the fuzziness modeling. The aforementioned algebra
v
is extended into four dimensional space in order to temporally associate fuzzy
space-time volumes. Finally, we introduce a set of possible spatiotemporal relations
that are derived by semantic association. Our study has a crucial impact on
fields that are associated with reality modeling, especially observation-based sciences
such as archaeology, biology, geology and so on. Basic applications of our
theory include the temporal confinement of periods based on observation data;
evaluation of temporal topology extraction methods like Harris matrix; temporal
association of defined periods and reconstruction of possible past scenarios.
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| Language |
English, Greek |
| Subject |
Modeling |
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Observation |
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Ασάφεια |
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Παρατήρηση |
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Τοπολογία |
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Χρονικός |
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Χωροχρόνος |
| Issue date |
2015-03-20 |
| Collection
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School/Department--School of Sciences and Engineering--Department of Computer Science--Post-graduate theses
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Type of Work--Post-graduate theses
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| Permanent Link |
https://elocus.lib.uoc.gr//dlib/f/f/a/metadata-dlib-1427542971-556526-23441.tkl
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| Views |
670 |
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