Modal-wavelet transform as a smart visualization tool
A method of information processings based on the classical field theory is outlined to derive the modal-wavelet transform (MWT) as a wavelet-like orthonormal transform. The theoretical background and application of MWT are described. The bases of MWT are derived from modal analysis of the potential field equations. Namely, a principal idea of MWT is that a numerical data set is regarded as a set of the field potentials or source densities. A modal matrix, constituting characteristic vectors, derived from the discretized field equations enables us to carry out an orthonormal transform inasmuch as the same way as those of conventional discrete wavelets. MWT is based on this data modeling to provide multiresolution analysis in an efficient manner. Three-dimensional MWT demonstrates a classification of a weather satellite infrared animation into background and cloud-moving frame images.
wavelets modal analysis data representation