Patent ID: 7689056
Filing Date: 2010-03-30
Classification: G06K

Abstract:
1. A method for frame multi-resolution analysis implemented on a computer comprising the steps of: using the computer to perform steps comprising: constructing isotropic, non-separable ideal windows in a dimension greater than 1; translating and dilating the ideal windows using translation and dilation operators; constructing isotropic, non-separable filters from the ideal windows of the previous step, where the filters are selected from the group consisting of isotropic, non-separable low pass filters, isotropic, non-separable high pass filters and isotropic, non-separable filters that cover a desired frequency range or plurality of desired frequency ranges; constructing isotropic, non-separable frame scaling functions; and producing associated isotropic, non-separable wavelets from the isotropic, non-separable filters and the isotropic, non-separable scaling functions, where the wavelets and filters filter and resolve or decompose multidimensional signals, data, information, or images into a plurality of non-overlapping sub-bands derived from the signals, data, information or images and corresponding to resolution levels improving analysis efficiency and improving analysis of more complex multidimensional signals, data, information or images.