Study on Digital geomorphologic parameterization and classification

The geomorphologic surface is characterized with dispersed point of the Digital Elevation Models(DEM). In this study, we introduce the concept of differential geometry for mapping the dispersed point to a surface, and propose a partial bivariate quartic equation to simulate earth surface. Using a 3*3 chart (local window coordinate) pass over the DEM dataset and computing the slope, cross-sectional curvature, maximum curvature and minimum curvature for parameterization. These factors validated a criterion for quantitative classification as peak, ridge, pass, channel, pit and plane. Aim to find an universal workframe to research the distribution of geomorphologic space.