WAVELET CHARACTERIZATION OF HARDY SPACE H1 AND ITS APPLICATION IN VARIATIONAL IMAGE DECOMPOSITION

Abstract

In this paper, we examine the wavelet characterization of Hardy space H1, and show that the H1-norm is a good choice for modelizing the oscillating patterns. Furthermore, we give the discrete representation of H1-norm by using wavelet coefficients, and apply it to the variational image decomposition models. Finally, we give the iterative algorithm, and present various numerical results on images to demonstrate the potential of our methods.