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Tryfona, N. and Egenhofer, M., Consistency among parts and aggregates: a computational model, Transactions in GIS, 1(3), 189-206 (1997).

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Extending Ladkin's algebra on non-convex intervals towards an.. - Claramunt   (Correct)

.... and the RCC8 model to composite regions in 2 dimensional spaces (i.e. touch, in, overlap, disjoint) A recursive algebra has been also proposed for topological relationships between aggregates consisting of disconnect parts as an extension of Egenhofers topological relationships [17]. In a related work, the definition of an algebra between composite regions with holes has been also discussed [15] This algebra defines binary relationships between composite regions formed by the aggregation of several regions, possibly connected, and with or without holes. Proposed ....

....topological relationships between simple regions. However, these algebra do not make any difference between the number of occurrences of relationships that relate regions part of the composite regions, or in other words the degree in which topological configurations differ from each other [17]. More precisely, no distinction is made among the cases in which one, some or all regions part of a first composite region are in topological relationship with one, some or all regions part of a second composite region. Such a direct generalisation of relationships from simple to composite ....

Tryfona, N. and Egenhofer, M., Consistency among parts and aggregates: a computational model, Transactions in GIS, 1(3), 189-206 (1997).


Identity-Based Change Operations for Composite Objects - Hornsby, Egenhofer (1998)   (1 citation)  Self-citation (Egenhofer)   (Correct)

....objects capture the notion that an object may be composed of other objects called parts, representing a hierarchy of objects. 3. Relations between Composites and their Parts Describing the relationship between composites and their parts is relevant for GIS applications (Clementini et al. 1995; Tryfona and Egenhofer 1997), object oriented databases (Kim et al. 1987; Kim et al. 1989; Mitschang 1989; Kim 1995) artificial intelligence domains (Brodie 1984) linguistics (Cruse 1979; Winston et al. 1987) and cognitive psychology (Tversky and Hemenway 1984) Philosophers have contributed formal theories of parts, ....

N. Tryfona and M. Egenhofer (1997) Consistency among parts and aggregates: A computational model. Transactions in GIS 1(3): 189-206.

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