Approximation Theory Applied to DEM Vertical Accuracy Assessment

• DOI: 10.1111/j.1467-9671.2012.01343.x
• Publication Date: 2012-05-28T04:22:24Z
• Authors: XiaoHang Liu; Peng Hu; Hai Hu; Jason Sherba
• Keywords: Interpolation; Propagation of uncertainty

Abstract Existing research on DEM vertical accuracy assessment uses mainly statistical methods, in particular variance and RMSE which are both based the error propagation theory statistics. This article demonstrates that is not applicable because critical assumption behind it cannot be satisfied. In fact, non‐random, non‐normal, non‐stationary nature of makes very challenging to apply methods. presents approximation as a new methodology illustrates its application DEMs created by linear interpolation using contour lines source data. Applying theory, DEM's determined largest any point (not samples) entire study area. The at bounded max(| δ node |+ M 2 h /8) where | data used interpolate point, maximum norm second‐order derivative can interpreted curvature, length line conducted. explains how compute each term this effectively facilitates quality control.