Talks and Poster Presentations (with Proceedings-Entry):
F. Karimipour, M. Delavar, A. Frank:
"A Mathematical Tool to Extend 2D Spatial Operations";
Talk: Iccsa 2008,
Perugia, Italy;
2008-06-30
- 2008-07-02; in: "Computational Science and Its Applications - ICCSA 2008",
O. Gervasi, B. Murgante, A. Laganà, D. Taniar, Y. Mun, M. Gavrilova (ed.);
Springer,
LNCS 5072 /Part 1/ Heldelberg
(2008),
ISBN: 978-3-540-69838-8;
153
- 164.
English abstract:
3D and temporal objects must be included in GIS to handle real
world phenomena. Many have studied extension of spatial operations to these multi-dimensional spaces and suggested technical solutions to extend a spatial operation to a new multi-dimensional space. These technical approaches have led to developments which can not be generalized. One technique used to extend a spatial operation from 2D to a multi-dimensional space is not likely usable for another spatial operation, nor to extend the same spatial operation to another multi-dimensional space. This paper suggested studying spatial operations via their dimension-independent properties. It intends to construct a mathematical framework to integrate spatial operations of different multidimensional spaces (3D and time) a GIS should support. The framework will be independent of the space in which the operations are applied using algebraic structures - and more specifically category theory - that ignore those properties of operations which depend on the objects they are applied to. Implementations for some case studies for spatial operations of moving points are presented.
Keywords:
Spatial operations, Multi-dimensional GIS, Algebraic Structures,
Created from the Publication Database of the Vienna University of Technology.