| GALTON, A. P. Space, time and movement. In Spatial and Temporal Reasoning, O. Stock, Ed. Kluwer, Dordrecht, 1997, ch. 10, pp. 321--352. |
....motion. Only certain changes are allowed, assuming continuouschange between relations (this means spatial changes are restricted to the edges of such graphs) Continuity is the central notion here, but remains implicitly assumed without a formal definition; only the work of Galton [Galton, 1993, Galton, 1997] has begun to address what continuity implies for a common sense theory of motion. Still, this kind of work characterizes continuity as a set of logical constraints on the transitions in a temporal framework and does not add much insight to the already existing transition graph (it is more ....
A. Galton. Space, time and movement. In O. Stock, editor, Spatial and Temporal Reasoning. Kluwer, 1997.
....whether two objects at different times are the same object. The problem of the continuity of continuants still lacks some convincing treatment. There is a number of possibilities in the literature to cope with the problems mentioned above. Some solutions involve refining the temporal structure [15], while others focus on the reasoning process about spatial entities (e.g. 37] or on a revised theory of parts ( 38] A few authors have proposed to deal with this by considering all objects to be occurrents and to be considered as whole space time histories. These authors have not really ....
.... and has been a recent trend in AI in what is called qualitative spatial reasoning, 35] 3] inspired by [9] and pioneer work in mereology and mereo topology ( 27] 26] It has led to the investigation of motion in a combined region based space and a mixed interval point based time by Galton [14, 15]. This was a departure from the traditional state based approach of qualitative kinematics and other AI oriented authors (such as [37, 17] motion constraining possible transitions between physical states) to an approach where motion is a change in relations bearing on individuals objects. As ....
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A. Galton. Space, time and movement. In O. Stock, editor, Spatial and Temporal Reasoning. Kluwer, 1997.
....DR , DR, PP and PP 1 , DR . The resulting set, L is EQ, PO ; EQ, DR, PO ; PP; PP, PO ; PP, DR, PO ; PP 1 ; PP 1 , PO ; PP 1 , DR, PO ; PO; DR; DR, PO A relevant observation we can make about these relations is that they are continuous in the sense of Galton [15]. Looking at the Conceptual Neighbourhood Graph of RCC 5 as presented in Figure 9, we indeed note that the eleven relations above can all be ob 1 2 3 4 5 6 7 8 9 10 11 12 Figure 8: A pictorial representation of basic morphological configurations of Egg Yolk pairs. tained by reading labels of ....
Antony P Galton. Space, time and movement. In Olivero Stock, editor, Spatial and Temporal Reasoning, chapter 10, pages 321--352. Kluwer, Dordrecht, 1997.
....motion. Only certain changes are allowed, assuming continuouschange between relations (this means spatial changes are restricted to the edges of such graphs) Continuity is the central notion here, but remains implicitly assumed without a formal definition; only the work of Galton [Galton, 1993, Galton, 1997] has begun to address what continuity implies for a common sense theory of motion. Still, this kind of work characterizes continuity as a set of logical constraints on the transitions in a temporal framework and does not add much insight to the already existing transition graph (it is more ....
A. Galton. Space, time and movement. In O. Stock, editor, Spatial and Temporal Reasoning. Kluwer, 1997.
....in terms of necessary and sufficient conditions for their occurrence. Event definition in terms of occurrence conditions also plays a prominent part in the Event Calculus of [9] which is connected with temporal deductive databases rather than active databases) and in the work of Galton [10]. Rather than detection of events as they occur, the knowledge representation work on events has mainly concentrated on what inferences can be made from the fact that certain events are known to have occurred. These inferences may extend to the possibility of future events occurring, thus ....
Antony P. Galton. Space, time and movement. In Oliviero Stock, editor, Spatial and Temporal Reasoning, pages 321--352. Kluwer Academic Publishers, Dordrecht, 1997.
....can be regarded as an accessibility relation. This idea has been used to provide the semantics for dynamic logic (Harel 1984) 1 Events as Occurrences Over Intervals: An approach widely adopted in AI is to correlate events with the time intervals over which they occur (Allen 1984, Galton 1993, Galton 1997). This is done by means of a quasi logical predicate Occurs(e; which says that an event of type e occurs during the interval . Davidson s Existential Analysis: Davidson (1967) gave an analysis of events according to which every action verb is associated with an implicit existentially quanti ....
.... e is de ned in the usual way. The Occurs Relation: The Occurs relation provides a exible way of talking about types of events in terms of conditions which hold before and after (and perhaps also during) the time period over which an event of that type takes place. For example, following Galton (Galton 1997), we could de ne the event type where a body moves between two positions by: 8body; b) 8r 1 ; r 2 ) Occurs(move(b; r 1 ; r 2 ) i) Holds at( pos(b) r 1 ) begin(i) Holds at( pos(b) r 2 ) end(i) Holds( pos(b) 6= r 1 ) i) Holds( pos(b) 6= r 2 ) i) Here r i are observable ....
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Galton, A. P.: 1997, Space, time and movement, in O. Stock (ed.), Spatial and Temporal Reasoning, Kluwer, Dordrecht, chapter 10, pp. 321-352.
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GALTON, A. P. Space, time and movement. In Spatial and Temporal Reasoning, O. Stock, Ed. Kluwer, Dordrecht, 1997, ch. 10, pp. 321--352.
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