Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Representations of commonsense knowledge
Representations of commonsense knowledge
People Manipulate Objects (but Cultivate Fields): Beyond the Raster-Vector Debate in GIS
Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
Toward a geometry of common sense: a semantics and a complete axiomatization of mereotopology
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Towards a general theory of geographic representation in GIS
International Journal of Geographical Information Science
Towards a General Field model and its order in GIS
International Journal of Geographical Information Science
Spatial semantics in difference spaces
COSIT'07 Proceedings of the 8th international conference on Spatial information theory
An object-field perspective data model for moving geographic phenomena
DASFAA'10 Proceedings of the 15th international conference on Database systems for advanced applications
Identifying geographical processes from time-stamped data
GeoS'11 Proceedings of the 4th international conference on GeoSpatial semantics
ER'12 Proceedings of the 2012 international conference on Advances in Conceptual Modeling
A temporal GIS for field based environmental modeling
Environmental Modelling & Software
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The distinction between object-based and field-based conceptions of geographical reality has become well-known in recent years. It replicates at a conceptual level the distinction between vector-based and raster-based implementation methods for GIS. In this paper I endeavour to lay the groundwork for a careful, mathematically rigorous development of the relevant ideas at the conceptual level. The notions of object and field are given precise mathematical definitions, and an appropriate formal apparatus is constructed by which to address such issues as the interconvertibility of the object-based and field-based paradigms, and their relative adequacy for different representational problems.