Examining the effects of basis function truncation in the DGT

The derivative of Gaussian transform is a spatial/spatial frequency representation of an image that has been used in image and video compression algorithms. Both the forward and inverse transforms require O(N/sup 3/) operations. We consider truncating the length N basis functions to produce a sparse basis matrix and thus to reduce the computational load of the reconstruction. We examine the effects of truncation on the basis function energy and evaluate the change in a number of basis quality measures as the basis function length is decreased.