We show how a deconvolution can be performed from the significant structures of an image in the wavelet space. These significant structures are computed from the wavelet coefficients of the data. The wavelet-transform algorithm that is used is a new one based on the fast Fourier transform. This approach is first studied for interferometric images, simulations are done, and then the method is generalized to any kind of data.
© 1994 Optical Society of America
Original Manuscript: June 18, 1993
Revised Manuscript: November 2, 1993
Manuscript Accepted: November 8, 1993
Published: May 1, 1994
Jean-Luc Starck and Albert Bijaoui, "Multiresolution deconvolution," J. Opt. Soc. Am. A 11, 1580-1588 (1994)