Simultaneous multiple regularization parameter selection by means of the L-hypersurface with applications to linear inverse problems posed in the wavelet transform domain

摘要

Abstract: In this paper, we introduce the L-hypersurface methodfor use in linear inverse problems. The new methods isintended to select multiple regularization parameterssimultaneously. It is a multidimensional extension ofclassical L-curve method and hence does not require anyspecific knowledge about the noise level or signalsemi-norm. We give examples of the L-hypersurfacemethod applied the linear inverse problems posed in thewavelet domain and evaluate the performance of the newmethod on a signal restoration experiment. !13