Multiresolution Analysis in Two or More Dimensions

Details Multiresolution Analysis in Two or More Dimensions Multiresolution Analysis in Two or More Dimensions

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aspc...52..413b&link_type=abstract

Astronomical Data Analysis Software and Systems II, A.S.P. Conference Series, Vol. 52, 1993, R. J. Hanisch, R. J. V. Brissenden,

Astronomy and Astrophysics

Astronomy

Scientific paper

An algorithm is implemented to perform a multiresolution decomposition in n >= 2 dimensions based on wavelets generated from products of 1-D wavelets and smoothing functions. The functions are chosen so that an n-D wavelet may be associated with a single resolution scale and orientation. This algorithm enables complete reconstruction of a high resolution signal from decomposition coefficients. The signal is oversampled to accommodate non-orthogonal wavelet systems and to provide approximate translational invariance in the decomposition arrays.

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