Combined First- and Second-Order Variational Model for Image Compressive Sensing

Abstract EN

A hybrid variational model combined first- and second-order total variation for image reconstruction from its finite number of noisy compressive samples is proposed in this paper.

Inspired by majorization-minimization scheme, we develop an efficient algorithm to seek the optimal solution of the proposed model by successively minimizing a sequence of quadratic surrogate penalties.

Both the nature and magnetic resonance (MR) images are used to compare its numerical performance with four state-of-the-art algorithms.

Experimental results demonstrate that the proposed algorithm obtained a significant improvement over related state-of-the-art algorithms in terms of the reconstruction relative error (RE) and peak signal to noise ratio (PSNR).