| EPSRC Reference: |
GR/R02351/01 |
| Title: |
Digital Topology and Geometry: An Axiomatic Approach, With Applications To Gis and Spatial Reasoning |
| Principal Investigator: |
Smyth, Dr M |
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| Project Partners: |
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| Department: |
Computing |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 August 2000 |
Ends: |
31 January 2004 |
Value (£): |
182,576
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| EPSRC Research Topic Classifications: |
| Artificial Intelligence |
Information & Knowledge Mgmt |
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| EPSRC Industrial Sector Classifications: |
| Communications |
Information Technologies |
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Summary on Grant Application Form |
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This is a joint project between Keele University and Imperial College. It continues work at Imperial on axiomatic geometry for both classical continuous spaces, such as Euclidean space, and discrete spaces more relevant to computation, such as those considered in digital topology. Discrete geometric spaces are intended to provide a sound theoretical basis for applications to image analysis, and to knowledge representation in AI and GIS, where the expertise is at Keele. They are also intended as a framework for common research in these areas, spatial reasoning in general being a highly interdisciplinary and rapidly developing research area in which theory and application are closely related, but in which adequate geometric spatial models are currently lacking.Both region-based and point-based spaces will continue to be developed; the former in relation to qualitative spatial reasoning, the latter in relation to discrete geometry and GIS.Specific practical aims are the development of discrete (and therefore robust) computational geometry and topology, and the use of discrete algorithms in GIS and image analysis, including associated theories of multi-resolution and imprecision. Theoretical developments will be informed and guided by this practical work.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |