Arc and path consistence revisited
Artificial Intelligence
Tilings and patterns
Iconic indexing by 2-D strings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Various views on spatial prepositions
AI Magazine
Constraint satisfaction in logic programming
Constraint satisfaction in logic programming
Artificial Intelligence - Special issue on knowledge representation
Temporal reasoning based on semi-intervals
Artificial Intelligence
Effective solution of qualitative interval constraint problems
Artificial Intelligence
Automatic deduction of temporal information
ACM Transactions on Database Systems (TODS)
The Quadtree and Related Hierarchical Data Structures
ACM Computing Surveys (CSUR)
An effective way to represent quadtrees
Communications of the ACM
Spatial Reasoning for GIS Using a Tesseral Data Representation
DEXA '95 Proceedings of the 6th International Conference on Database and Expert Systems Applications
Artificial Intelligence Review
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A review of the application of the quad tesseral representation tosupport spatial reasoning is presented. The principal feature of therepresentation is that it linearises multi-dimensional space, while stillproviding for the description of individual objects within that space andthe relationships that may exist between those objects (in any directionand through any number of dimensions). In addition the representation issupported by an arithmetic which allows the manipulation (translation etc.)of spatial objects. Consequently, when incorporated into a spatialreasoning system, all necessary processing can be implemented as if in onlyone dimension. This offers two significant advantages over moreconventional multi-directional approaches to spatial reasoning. Firstly,many of the concerns associated with the exponential increase in the numberor relations that need to be considered (as the number of dimensions underconsideration increases) are no longer relevant. Secondly, the computationalcost of manipulating and comparing spatial objects remains static at itsone dimensional level, regardless of the number of dimensions underconsideration.