Detecting Duplicates in Geoinformatics: from Intervals and Fuzzy Numbers to General Multi-D Uncertainty

Geospatial databases generally consist of measurements related to points (or pixels in the case of raster data), lines, and polygons. In recent years, the size and complexity of these databases have increased significantly and they often contain duplicate records, i.e., two or more close records representing the same measurement result. In this paper, we address the problem of detecting duplicates in a database consisting of point measurements. As a test case, we use a database of measurements of anomalies in the Earth's gravity field that we have compiled. In our previous papers (2003,2004), we have proposed a new fast (O(n ldr log(n))) duplication deletion algorithm for the case when closeness of two points (x1,y1) and (x2,y2) is described as closeness of both coordinates. In this paper, we extend this algorithm to the case when closeness is described by an arbitrary metric. Both algorithms have been successfully applied to gravity databases.