Simultaneous multiple regularization parameter selection by means of theL-hypersurface with applications to linear inverse problems posed in the wavelettransform domain,

摘要

Abstract: In this paper, we introduce the L-hypersurface method for use in linear inverse problems. The new methods is intended to select multiple regularization parameters simultaneously. It is a multidimensional extension of classical L-curve method and hence does not require any specific knowledge about the noise level or signal semi-norm. We give examples of the L-hypersurface method applied the linear inverse problems posed in the wavelet domain and evaluate the performance of the new method on a signal restoration experiment. !13