A method for constructing an image includes 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 Gaussian Scale Mixtures Model to generate weights, approximating updated sparse coefficients by using the weights and acquired image, constructing an image based on the updated sparse coefficients, and displaying the constructed image.