5,644 research outputs found
Simple, Accurate, and Robust Nonparametric Blind Super-Resolution
This paper proposes a simple, accurate, and robust approach to single image
nonparametric blind Super-Resolution (SR). This task is formulated as a
functional to be minimized with respect to both an intermediate super-resolved
image and a nonparametric blur-kernel. The proposed approach includes a
convolution consistency constraint which uses a non-blind learning-based SR
result to better guide the estimation process. Another key component is the
unnatural bi-l0-l2-norm regularization imposed on the super-resolved, sharp
image and the blur-kernel, which is shown to be quite beneficial for estimating
the blur-kernel accurately. The numerical optimization is implemented by
coupling the splitting augmented Lagrangian and the conjugate gradient (CG).
Using the pre-estimated blur-kernel, we finally reconstruct the SR image by a
very simple non-blind SR method that uses a natural image prior. The proposed
approach is demonstrated to achieve better performance than the recent method
by Michaeli and Irani [2] in both terms of the kernel estimation accuracy and
image SR quality
Deep Mean-Shift Priors for Image Restoration
In this paper we introduce a natural image prior that directly represents a
Gaussian-smoothed version of the natural image distribution. We include our
prior in a formulation of image restoration as a Bayes estimator that also
allows us to solve noise-blind image restoration problems. We show that the
gradient of our prior corresponds to the mean-shift vector on the natural image
distribution. In addition, we learn the mean-shift vector field using denoising
autoencoders, and use it in a gradient descent approach to perform Bayes risk
minimization. We demonstrate competitive results for noise-blind deblurring,
super-resolution, and demosaicing.Comment: NIPS 201
"Zero-Shot" Super-Resolution using Deep Internal Learning
Deep Learning has led to a dramatic leap in Super-Resolution (SR) performance
in the past few years. However, being supervised, these SR methods are
restricted to specific training data, where the acquisition of the
low-resolution (LR) images from their high-resolution (HR) counterparts is
predetermined (e.g., bicubic downscaling), without any distracting artifacts
(e.g., sensor noise, image compression, non-ideal PSF, etc). Real LR images,
however, rarely obey these restrictions, resulting in poor SR results by SotA
(State of the Art) methods. In this paper we introduce "Zero-Shot" SR, which
exploits the power of Deep Learning, but does not rely on prior training. We
exploit the internal recurrence of information inside a single image, and train
a small image-specific CNN at test time, on examples extracted solely from the
input image itself. As such, it can adapt itself to different settings per
image. This allows to perform SR of real old photos, noisy images, biological
data, and other images where the acquisition process is unknown or non-ideal.
On such images, our method outperforms SotA CNN-based SR methods, as well as
previous unsupervised SR methods. To the best of our knowledge, this is the
first unsupervised CNN-based SR method
Introduction to papers on astrostatistics
We are pleased to present a Special Section on Statistics and Astronomy in
this issue of the The Annals of Applied Statistics. Astronomy is an
observational rather than experimental science; as a result, astronomical data
sets both small and large present particularly challenging problems to analysts
who must make the best of whatever the sky offers their instruments. The
resulting statistical problems have enormous diversity. In one problem, one may
have to carefully quantify uncertainty in a hard-won, sparse data set; in
another, the sheer volume of data may forbid a formally optimal analysis,
requiring judicious balancing of model sophistication, approximations, and
clever algorithms. Often the data bear a complex relationship to the underlying
phenomenon producing them, much in the manner of inverse problems.Comment: Published in at http://dx.doi.org/10.1214/09-AOAS234 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Deep Learning for Single Image Super-Resolution: A Brief Review
Single image super-resolution (SISR) is a notoriously challenging ill-posed
problem, which aims to obtain a high-resolution (HR) output from one of its
low-resolution (LR) versions. To solve the SISR problem, recently powerful deep
learning algorithms have been employed and achieved the state-of-the-art
performance. In this survey, we review representative deep learning-based SISR
methods, and group them into two categories according to their major
contributions to two essential aspects of SISR: the exploration of efficient
neural network architectures for SISR, and the development of effective
optimization objectives for deep SISR learning. For each category, a baseline
is firstly established and several critical limitations of the baseline are
summarized. Then representative works on overcoming these limitations are
presented based on their original contents as well as our critical
understandings and analyses, and relevant comparisons are conducted from a
variety of perspectives. Finally we conclude this review with some vital
current challenges and future trends in SISR leveraging deep learning
algorithms.Comment: Accepted by IEEE Transactions on Multimedia (TMM
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