Modelling Error Propagation for Spatial Consistency

Currently, there are numerous effective models for managing error propagation in data manipulation and analysis. But the method is still lack in handling spatial consistency. This paper focuses on the algorithms and models of error propagation for spatial consistency, investigating the basic types of spatial data inconsistency and the procedures for correcting them. Since the correction operations often involve changing the position of points of one or more spatial objects, we propose a generalized algorithm (GA) and a related model of error propagation for point groups snapping within a fuzzy tolerance, which are built upon the least square method. Simplified algorithms and models were derived for some special cases with different statistical characteristics. A simple example is provided to demonstrate the potential application of the proposed method.