%0 Journal Article %1 keyhere %A Egenhofer, Max %A Vasardani, Maria %D 2007 %J Spatial Information Theory %K mereology reasoning spatial %P 303--320 %T Spatial Reasoning with a Hole %U http://dx.doi.org/10.1007/978-3-540-74788-8_19 %X Cavities in spatial phenomena require geometric representations of regions with holes. Existing models for reasoning over topological relations either exclude such specialized regions (9-intersection) or treat them indistinguishably from regionswithout holes (RCC-8). This paper highlights that inferences over a region with a hole need to be made separately from, andin addition to, the inferences over regions without holes. First the set of 23 topological relations between a region anda region with a hole is derived systematically. Then these relations’ compositions over the region with the hole are calculatedso that the inferences can be compared with the compositions of the topological relations over regions without holes. For266 out of the 529 compositions the results over the region with the hole were more detailed than the corresponding resultsover regions without holes, with 95 of these refined cases providing even a unique result. In 27 cases, this refinement upto uniqueness compares with a completely undetermined inference for the relations over regions without holes.

@article{keyhere, abstract = {Cavities in spatial phenomena require geometric representations of regions with holes. Existing models for reasoning over topological relations either exclude such specialized regions (9-intersection) or treat them indistinguishably from regionswithout holes (RCC-8). This paper highlights that inferences over a region with a hole need to be made separately from, andin addition to, the inferences over regions without holes. First the set of 23 topological relations between a region anda region with a hole is derived systematically. Then these relations’ compositions over the region with the hole are calculatedso that the inferences can be compared with the compositions of the topological relations over regions without holes. For266 out of the 529 compositions the results over the region with the hole were more detailed than the corresponding resultsover regions without holes, with 95 of these refined cases providing even a unique result. In 27 cases, this refinement upto uniqueness compares with a completely undetermined inference for the relations over regions without holes.}, added-at = {2008-03-25T15:48:35.000+0100}, author = {Egenhofer, Max and Vasardani, Maria}, biburl = {https://www.bibsonomy.org/bibtex/2ed5a3f62e68f6cdf12826847ac008422/stefano}, description = {SpringerLink - Book Chapter}, interhash = {67ec9b3b48fb08036173ac9338e83cb6}, intrahash = {ed5a3f62e68f6cdf12826847ac008422}, journal = {Spatial Information Theory}, keywords = {mereology reasoning spatial}, pages = {303--320}, timestamp = {2008-03-25T15:48:35.000+0100}, title = {Spatial Reasoning with a Hole}, url = {http://dx.doi.org/10.1007/978-3-540-74788-8_19}, year = 2007 }