DISCRETE MULTIRESOLUTION ANALYSIS USING HERMITE INTERPOLATION: BIORTHOGONAL MULTIW VELETS.

We generalize Harten's interpolatory multiresolution representation to include Her- mite interpolation. Compact Hermite interpolation with optimal order accuracy is used in both the decomposition and reconstruction algorithm. The resulting multiple basis functions (biorthogonal multiwavelets) are symmetric or skew-symmetric, compact, and analytic. Harten's approach has several advantages: the multiresolution scheme is inherently discrete, nonperiodic boundary conditions are easy to implement, and the representation can be extended to nonuniform grids in bounded do- mains. We demonstrate the compression features of the new multiple basis functions by application to several examples. [ABSTRACT FROM AUTHOR]