The multi-window Gabor-type analysis of images and multidimensional signals

The multi-window Gabor-type scheme is generalized to the multidimensional case with special emphasis on images. Sampling rate p/q along each dimension, where p and q are relatively prime integers, is considered. The problem of multidimensional matrix operations required in dual window computations gives rise to the stacking method that merges dimensions from hyperdimensional to a two-dimensional conventional matrix. Algorithms are generalized to Gabor-type representation of images and multidimensional signals that are sampled over different grids, such as the hexagonal grids.