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Spatial Interpolation Using Fuzzy Reasoning
Author(s) -
Gedeon T D,
Wong K W,
Wong P M,
Huang Y
Publication year - 2003
Publication title -
transactions in gis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.721
H-Index - 63
eISSN - 1467-9671
pISSN - 1361-1682
DOI - 10.1111/1467-9671.00129
Subject(s) - interpolation (computer graphics) , multivariate interpolation , nearest neighbor interpolation , bilinear interpolation , trilinear interpolation , stairstep interpolation , extrapolation , feature (linguistics) , mathematics , computer science , algorithm , artificial intelligence , mathematical optimization , computer vision , statistics , image (mathematics) , linguistics , philosophy
Spatial interpolation is an important feature of a Geographic Information System, which is the procedure used to estimate values at unknown locations within the area covered by existing observations. In this paper, we describe a conservative spatial interpolation technique that incorporates the advantages of local interpolation, Euclidean interpolation, and conservative fuzzy reasoning, and a dynamic fuzzy–reasoning–based function estimator with parameters optimised by a genetic algorithm. The main objective of this paper is to formulate a computationally efficient spatial interpolation technique similar to the IDWA technique that can be used in real time application. The main feature of our spatial interpolation technique is a capability for spatial interpolation and extrapolation in a higher–dimensional space. Examples from a rainfall spatial interpolation problem are used to illustrate the applicability of the proposed technique.