3D resampling for airborne laser data of urban areas

We consider the problem of resampling for the data obtained by laser scanning on an irregular grid. The data obtained by airborne laser scanning are scattered, and the resampling on a regular grid is needed for the generation of digital surface models (DSM). Some well-known methods are considered in this article: triangle-based linear interpolation, trianglebased nearest neighbor interpolation and kriging. An energy minimization approach is proposed which allows to avoid the drawbacks relevant to these methods. This approach allows to impose a model of surface corresponding to urban areas. The energy function is adapted to deal with the scattered data, and its parameters are chosen to fit the model of a urban area. A correlation coefficient is used to compare the results. The methods are tested on real data - irregularly spaced 3D points - laser scanner data of Brussels. Visual and numerical experimentation results are presented