Multiresolution volume representation: the wavelet approach

A novel method for multiresolution volume representation is presented. The method is based on wavelets and it can be used for representing volumetric data defined on non structured grids. The basic contribution is the extension of wavelets to volumetric domains of arbitrary topological type. This extension is made by constructing a wavelet basis defined on any tetrahedrized volume. This basis construction is achieved using a multiresolution analysis and lifting scheme.