Shape generalization of digital elevation models
The most common form of digital representations of topographic surfaces are Digital Elevation Models (DEMs) consisting of points of elevations, sampled systematically at equally spaced grids. The main focus of my talk is to investigate anisotropic diffusion models in form generalisation. Prototypes of such diffusion equations are the Perona-Malik model and the Total Variation model. The anisotropic character of these equations enables the selective smoothing of DEMs by preserving geometrical information, like edges, and the extracting of specific information, like the slope, from the digital representation of a surface.We present a new diffusion model and discuss the existence and various phenomena of the solutions.
Carsten Ebmeyer (University of Bonn)
May 12, 2006