1. A method for constructing an image, the method comprising: acquiring image data in a sensing domain; transforming the acquired image data into a sparse domain; approximating sparse coefficients based on the transformed acquired image data; performing a Bayes Least Squares estimation on the sparse coefficients based on a Gaussian Scale Mixtures Model to generate weights; approximating the updated sparse coefficients by using the updated weights and acquired image data; constructing an image based on the updated sparse coefficients; and displaying the constructed image.