Methods and systems for training a non-blind deblurring module are disclosed. Unblurred test images and blurred test images are received, wherein each of the blurred test images is related to a corresponding one of the unblurred test images by a blur kernel term and a noise term. A regularized deconvolution sub-module and a convolutional neural network are jointly trained by adjusting a regularization parameter of a regularized deconvolution function and weights of a convolution neural network in order to minimize a cost function representative of a difference between each deblurred output image and a corresponding one of the unblurred test images.