A G Cohn and A Varzi, `Modes of connection', in Proceedings of COSIT-99, eds., C. Freksa and D.M. Mark, LNCS No. 1661, pp. 299--314. Springer-Verlag, (1999).  Home/Search   Document Details and Download   Summary   Related Articles   Check

....il peut dconnecter noir en deux groupes distincts comme le montre la squence de la figure 37. 3 3 Ce contre exemple, dans un domaine bien plus simple que le monde rel, montre, selon nous, une difficult mettre en pratique le RSQ. Evidemment, les problmes de connexion existent galement en RS [Cohn Varzi 1999]. L encerclement est une relation entre un groupe et une fraction , qui sont des concepts qualitatifs. Mais l encerclement possde des ordres qui sont des nombres (quantitatif) un groupe est encercl une distance donne. L encerclement est une relation semi qualitative (elle utilise des ....

Anthony Cohn, A.C. Varzi, Modes of Connection , COSIT'99, In Freksa and Mark (eds), Cognitive and Computational Foundations of Geographic Information Science, Berlin: Springer-Verlag, Lecture Notes in Computer Science No. 1661, pp. 299-314, 1999.

.... firm connection and non firm connection. A firm connection in n D space is defined as a connection wherein an n D worm can pass through the connection without becoming visible to the exterior. In other words, for two regions to be firmly connected, a direct conduit exists between the two [8]. To define firm connection, we first define one pieceness (i.e. st connectedness) A s t region x is spatio temporally one piece CON st x just in case We only need the st version of the axioms since the t and sp versions are implied by A10 all parts of x are C st connected. Similarly we ....

....Connection Analysis In space time the notion of continuity should implicitly capture the intuitive notion of motion. Nevertheless, weaker notions of s t continuity can be defined and we will explore these below (note that these bear a strong relationship to various notions of connection in [8]) One way to characterize distinct notions of s t continuity is based on whether all or some but not all (henceforth: sbna) parts of a history during an interval are connected to all or sbna parts of the history during another distinct interval. The notation w is purely syntactic sugar: ....

[Article contains additional citation context not shown here]

A G Cohn and A Varzi, `Modes of connection', in Proceedings of COSIT-99, eds., C. Freksa and D.M. Mark, LNCS No. 1661, pp. 299--314. Springer-Verlag, (1999).

....connection. We will introduce the notion of firm connection. A firm connection in n D space is defined as a connection wherein an n D worm can pass through the connection without becoming visible to the exterior. Thus, for two regions to be firmly connected a direct conduit exists between the two [Cohn and Varzi, 1999] . Figure 3 illustrates firm connection and non firm connection. y y x a. b. Figure 3: a. Firm and b. Non Firm connection between two entities x and y. In order to define firm connection, we define one piece or spatio temporal connectedness. A spatio temporal region is spatio temporally ....

....intuitive notion of motion and this is the notion that has been addressed in the existing literature on qualitative continuity mentioned above. However, various weaker notions are possible, and we will explore these below (these bear a strong relationship to the various notions of connection in [Cohn and Varzi, 1999] ) First we need to define the notion of a x being a component of a region y, i.e. if it is a maximal one piece part: D13. Compxy def CONx Pxy #w[ CONw # Pwy] w = x] We now define various notions of what it means for a history to be continuous. First of all consider the case of the ....

A G Cohn and A Varzi. Modes of connection. In C. Freksa and D.M. Mark, editors, Proceedings of COSIT-99, Lecture Notes in Computer Science No. 1661, pages 299--314. Springer-Verlag, 1999.

....proposal. The variety of mereotopological connection relations is very rich indeed. We hope to have gone some way in the direction of a unified framework that allows one to see the forest besides the many trees. Acknowledgements This paper grew out of two conference presentations, 23] and [24]. We are grateful to the audiences of both meetings for helpful discussion. We are also grateful to Maureen Don 35 nelly, Claudio Masolo, Philippe Muller, and Laure Vieu for comments on earlier drafts. The support of the EPSRC under grants GR K65041 and GR M56807 is gratefully acknowledged. ....

Cohn A. G., Varzi A. C., 1999, `Modes of Connection', in C. Freksa and D. M. Mark (eds.), Spatial Information Theory. Cognitive and Computational Foundations of Geographic Information Science, Berlin: Springer, pp. 299--314.

....firm connection and non firm connection. A firm connection in n D space is defined as a connection wherein an n D worm can pass through the connection without becoming visible to the exterior. In other words, for two regions to be firmly connected a direct conduit exists between the two [20]. To define firm connection, we define one pieceness (i.e. spatio temporal connectedness) A spatiotemporal region x is spatio temporally one piece (CON st x) just in case all parts of x are C st connected. Similarly to represent that a temporal extent is one piece, we define temporal ....

....Connection Analysis In space time the notion of continuity should implicitly capture the intuitive notion of motion. Nevertheless, weaker notions of space time continuity can be defined and we will explore these below (Note that these bear a strong relationship to various notions of connection in [20]) One way to characterize distinct notions of The notation w is purely syntactic sugar: for any atom ( could equivalently replaced by 8x(TSxy x t w) x: spatio temporal continuity is based on whether all or some but not all (henceforth: sbna) parts of a history during ....

[Article contains additional citation context not shown here]

A G Cohn and A Varzi, `Modes of connection', in Proceedings of COSIT99, eds., C. Freksa and D.M. Mark, Lecture Notes in Computer Science No. 1661, pp. 299--314. Springer-Verlag, (1999).

....connection. We will introduce the notion of firm connection. A firm connection in n D space is defined as a connection wherein an n D worm can pass through the connection without becoming visible to the exterior. Thus, for two regions to be firmly connected a direct conduit exists between the two [Cohn and Varzi, 1999] . Figure 3 illustrates firm connection and non firm connection. y y x a. b. x Figure 3: a. Firm and b. Non Firm connection between two entities x and y. In order to define firm connection, we define one piece or spatio temporal connectedness. A spatio temporal region is spatio temporally ....

....intuitive notion of motion and this is the notion that has been addressed in the existing literature on qualitative continuity mentioned above. However, various weaker notions are possible, and we will explore these below (these bear a strong relationship to the various notions of connection in [Cohn and Varzi, 1999] ) First we need to define the notion of a x being a component of a region y, i.e. if it is a maximal one piece part: D13. Compxy # def CONx # Pxy # #w[ CONw # Pwy] # w = x] We now define various notions of what it means for a history to be continuous. First of all consider the case of ....

A G Cohn and A Varzi. Modes of connection. In C. Freksa and D.M. Mark, editors, Proceedings of COSIT-99, Lecture Notes in Computer Science No. 1661, pages 299--314. Springer-Verlag, 1999.

....we introduce the notion of firm connection. A firm connection in n D space is defined as a connection wherein an n D worm can pass through the connection without becoming visible to the exterior. In other words, for two regions to be firmly connected a direct conduit exists between the two [Cohn and Varzi, 1999] . In order to define firm connection, we define one piece or spatiotemporal connectedness. A spatio temporal region is spatiotemporally one piece CON st x just in case all parts of x are C st connected. Similarly to represent that a certain temporal extent is one piece we define temporal ....

A G Cohn and A Varzi. Modes of connection. In C. Freksa and D.M. Mark, editors, Proceedings of COSIT-99, Lecture Notes in Computer Science No. 1661, pages 299--314. Springer-Verlag, 1999.

.... precisely, there must be a common boundary which is part of one or the other, though not necessarily of both [5, 27] This notion if connection is not unproblematic [28, 37] and there are ways of characterizing a relation of topological connection which do not rely on the boundary concept at all [10, 11]. Here, however, we shall content ourselves with this ordinary account. In particular, we shall assume that two discrete entities can be in contact only if one of them is open (i.e. if it does not include its boundary) where the other is closed (in the sense that it includes its boundary as a ....

Cohn, A. G., and Varzi, A. C., 1999, `Modes of Connection', in C. Freksa (ed.), Spatial Information Theory. Proceedings of the Fourth International Conference, Berlin and Heidelberg: Springer-Verlag, in press.

.... of the connection relation and the presence or not of boundary elements in the universe of discourse is explored in a paper setting out a framework of possible Connection based theories [Cohn and Varzi, 1998] this framework is extended by considering two further dimensions of variability in [Cohn and Varzi, 1999] 5 And thus C(lefthalf,righthalf) holds too. Two doughnuts with degenerate holes Block minus block Cylinder surface Loop Double doughnut (topologically, a solid block) Doughnut with gap Torus Doughnut (or Solid Torus) degenerate hole surround A doughnut with a Figure 2: It is possible to ....

....do not have line like (or disc like) neighbourhoods within the boundary (i.e. which are locally Euclidean. It appears possible using C(x; y) to define [ Gotts, 1994b ] a predicate (WCON) that will rule out the INCON 6 The notion of the firmness of the C(x; y) relation in general is explored in [Cohn and Varzi, 1999] four different strengths of connection are presented. This extends the framework for connection relations first presented in [Cohn and Varzi, 1998] to a second dimension; a third dimension also presented in [Cohn and Varzi, 1999] is obtained by considering multipiece regions and the degree of ....

[Article contains additional citation context not shown here]

A G Cohn and A C Varzi. Modes of connection. In Proc COSIT, LNCS. Springer, 1999.

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