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1
Deep Learning for Image Super-resolution:
A Survey
Zhihao Wang, Jian Chen, Steven C.H. Hoi, Fellow, IEEE
Abstract—Image Super-Resolution (SR) is an important class of image processing techniques to enhance the resolution of images
and videos in computer vision. Recent years have witnessed remarkable progress of image super-resolution using deep learning
techniques. This article aims to provide a comprehensive survey on recent advances of image super-resolution using deep learning
approaches. In general, we can roughly group the existing studies of SR techniques into three major categories: supervised SR,
unsupervised SR, and domain-specific SR. In addition, we also cover some other important issues, such as publicly available
benchmark datasets and performance evaluation metrics. Finally, we conclude this survey by highlighting several future directions and
open issues which should be further addressed by the community in the future.
Index Terms—Image Super-resolution, Deep Learning, Convolutional Neural Networks (CNN), Generative Adversarial Nets (GAN)
F
1 INTRODUCTION
I
MAGE super-resolution (SR), which refers to the process
of recovering high-resolution (HR) images from low-
resolution (LR) images, is an important class of image
processing techniques in computer vision and image pro-
cessing. It enjoys a wide range of real-world applications,
such as medical imaging [1], [2], [3], surveillance and secu-
rity [4], [5]), amongst others. Other than improving image
perceptual quality, it also helps to improve other computer
vision tasks [6], [7], [8], [9]. In general, this problem is very
challenging and inherently ill-posed since there are always
multiple HR images corresponding to a single LR image.
In literature, a variety of classical SR methods have been
proposed, including prediction-based methods [10], [11],
[12], edge-based methods [13], [14], statistical methods [15],
[16], patch-based methods [13], [17], [18], [19] and sparse
representation methods [20], [21], etc.
With the rapid development of deep learning techniques
in recent years, deep learning based SR models have been
actively explored and often achieve the state-of-the-art per-
formance on various benchmarks of SR. A variety of deep
learning methods have been applied to tackle SR tasks, rang-
ing from the early Convolutional Neural Networks (CNN)
based method (e.g., SRCNN [22], [23]) to recent promising
SR approaches using Generative Adversarial Nets (GAN)
[24] (e.g., SRGAN [25]). In general, the family of SR al-
gorithms using deep learning techniques differ from each
other in the following major aspects: different types of
network architectures [26], [27], [28], different types of loss
functions [8], [29], [30], different types of learning principles
• Corresponding author: Steven C.H. Hoi is currently with Salesforce
Research Asia, and also a faculty member (on leave) of the School
of Information Systems, Singapore Management University, Singapore.
Email: shoi@salesforce.com or chhoi@smu.edu.sg.
• Z. Wang is with the South China University of Technology, China. E-mail:
ptkin@outlook.com. This work was done when he was a visiting student
with Dr Hoi’s group at the School of Information Systems, Singapore
Management University, Singapore.
• J. Chen is with the South China University of Technology, China. E-mail:
ellachen@scut.edu.cn.
and strategies [8], [31], [32], etc.
In this paper, we give a comprehensive overview of re-
cent advances in image super-resolution with deep learning.
Although there are some existing SR surveys in literature,
our work differs in that we are focused in deep learning
based SR techniques, while most of the earlier works [33],
[34], [35], [36] aim at surveying traditional SR algorithms or
some studies mainly concentrate on providing quantitative
evaluations based on full-reference metrics or human visual
perception [37], [38]. Unlike the existing surveys, this survey
takes a unique deep learning based perspective to review
the recent advances of SR techniques in a systematic and
comprehensive manner.
The main contributions of this survey are three-fold:
1) We give a comprehensive review of image super-
resolution techniques based on deep learning, in-
cluding problem settings, benchmark datasets, per-
formance metrics, a family of SR methods with deep
learning, domain-specific SR applications, etc.
2) We provide a systematic overview of recent ad-
vances of deep learning based SR techniques in a
hierarchical and structural manner, and summarize
the advantages and limitations of each component
for an effective SR solution.
3) We discuss the challenges and open issues, and
identify the new trends and future directions to
provide an insightful guidance for the community.
In the following sections, we will cover various aspects
of recent advances in image super-resolution with deep
learning. Fig. 1 shows the taxonomy of image SR to be
covered in this survey in a hierarchically-structured way.
Section 2 gives the problem definition and reviews the
mainstream datasets and evaluation metrics. Section 3 ana-
lyzes main components of supervised SR modularly. Section
4 gives a brief introduction to unsupervised SR methods.
Section 5 introduces some popular domain-specific SR ap-
plications, and Section 6 discusses future directions and
open issues.
arXiv:1902.06068v2 [cs.CV] 8 Feb 2020
2
Performance Evaluation Unsupervised Image Super-resolution Domain-specific Applications
Image Super-resolution
Model Frameworks Upsampling Methods Learning Strategies Other Improvements
Supervised Image Super-resolution
Network Design
Context-wise Network
Fusion
Data Augmentation
Multi-task Learning
Network Interpolation
Self-ensemble
Loss Functions:
- Pixel Loss
- Content Loss
- Texture Loss
- Adversarial Loss
- Cycle Consistency Loss
- Total Variation Loss
- Prior-based Loss
Batch Normalization
Curriculum Learning
Multi-supervision
Residual Learning
Recursive Learning
Multi-path Learning
Dense Connections
Attention Mechanism
Advanced Convolution
Region-recursive Learning
Pyramid Pooling
Wavelet Transformation
xUnit
Desubpixel
Interpolation-
based Methods:
- Nearest Neighbor
- Bilinear
- Bicubic
- Others
Learning-based Methods:
- Transposed Convolution
- Sub-pixel Layer
- Meta Upscale Module
Pre-upsampling SR
Post-upsampling SR
Progressive Upsampling SR
Iterative Up-and-down
Sampling SR
Benchmark Datasets
Performance Metric:
- Objective Methods: PSNR, SSIM, etc.
- Subjective Methods: MOS
- Task-based Evaluation
- Learning-based Perceptual Quality
- Other Methods
Operating Channels
Zero-shot Super-resolution
Weakly-supervised Super-resolution:
- Learned Degradation
- Cycle-in-cycle Super-resolution
Deep Image Prior
Depth Map Super-resolution
Face Image Super-resolution
Hyperspectral Image Super-resolution
Real-world Image Super-resolution
Video Super-resolution
Other Applications
Fig. 1. Hierarchically-structured taxonomy of this survey.
2 PROBLEM SETTING AND TERMINOLOGY
2.1 Problem Definitions
Image super-resolution aims at recovering the correspond-
ing HR images from the LR images. Generally, the LR image
I
x
is modeled as the output of the following degradation:
I
x
= D(I
y
; δ), (1)
where D denotes a degradation mapping function, I
y
is
the corresponding HR image and δ is the parameters of
the degradation process (e.g., the scaling factor or noise).
Generally, the degradation process (i.e., D and δ) is un-
known and only LR images are provided. In this case, also
known as blind SR, researchers are required to recover an
HR approximation
ˆ
I
y
of the ground truth HR image I
y
from
the LR image I
x
, following:
ˆ
I
y
= F(I
x
; θ), (2)
where F is the super-resolution model and θ denotes the
parameters of F.
Although the degradation process is unknown and can
be affected by various factors (e.g., compression artifacts,
anisotropic degradations, sensor noise and speckle noise),
researchers are trying to model the degradation mapping.
Most works directly model the degradation as a single
downsampling operation, as follows:
D(I
y
; δ) = (I
y
) ↓
s
, {s} ⊂ δ, (3)
where ↓
s
is a downsampling operation with the scaling
factor s. As a matter of fact, most datasets for generic SR are
built based on this pattern, and the most commonly used
downsampling operation is bicubic interpolation with anti-
aliasing. However, there are other works [39] modelling the
degradation as a combination of several operations:
D(I
y
; δ) = (I
y
⊗ κ) ↓
s
+n
ς
, {κ, s, ς} ⊂ δ, (4)
where I
y
⊗ κ represents the convolution between a blur
kernel κ and the HR image I
y
, and n
ς
is some additive
white Gaussian noise with standard deviation ς. Compared
to the naive definition of Eq. 3, the combinative degradation
pattern of Eq. 4 is closer to real-world cases and has been
shown to be more beneficial for SR [39].
To this end, the objective of SR is as follows:
ˆ
θ = arg min
θ
L(
ˆ
I
y
, I
y
) + λΦ(θ), (5)
where L(
ˆ
I
y
, I
y
) represents the loss function between the
generated HR image
ˆ
I
y
and the ground truth image I
y
, Φ(θ)
is the regularization term and λ is the tradeoff parameter.
Although the most popular loss function for SR is pixel-wise
mean squared error (i.e., pixel loss), more powerful models
tend to use a combination of multiple loss functions, which
will be covered in Sec. 3.4.1.
2.2 Datasets for Super-resolution
Today there are a variety of datasets available for image
super-resolution, which greatly differ in image amounts,
quality, resolution, and diversity, etc. Some of them provide
LR-HR image pairs, while others only provide HR images,
in which case the LR images are typically obtained by imre-
size function with default settings in MATLAB (i.e., bicubic
interpolation with anti-aliasing). In Table 1 we list a number
of image datasets commonly used by the SR community,
x->y 低分辨率到高分辨率
高分辨率图像降采样得到低分辨率图像
高分辨率图像和未知模板进行卷积并加高斯噪声生成低分辨率图像
优化损失函数
3
TABLE 1
List of public image datasets for super-resolution benchmarks.
Dataset Amount Avg. Resolution Avg. Pixels Format Category Keywords
BSDS300 [40] 300 (435, 367) 154, 401 JPG animal, building, food, landscape, people, plant, etc.
BSDS500 [41] 500 (432, 370) 154, 401 JPG animal, building, food, landscape, people, plant, etc.
DIV2K [42] 1000 (1972, 1437) 2, 793, 250 PNG environment, flora, fauna, handmade object, people, scenery, etc.
General-100 [43] 100 (435, 381) 181, 108 BMP animal, daily necessity, food, people, plant, texture, etc.
L20 [44] 20 (3843, 2870) 11, 577, 492 PNG animal, building, landscape, people, plant, etc.
Manga109 [45] 109 (826, 1169) 966, 011 PNG manga volume
OutdoorScene [46] 10624 (553, 440) 249, 593 PNG animal, building, grass, mountain, plant, sky, water
PIRM [47] 200 (617, 482) 292, 021 PNG environments, flora, natural scenery, objects, people, etc.
Set5 [48] 5 (313, 336) 113, 491 PNG baby, bird, butterfly, head, woman
Set14 [49] 14 (492, 446) 230, 203 PNG humans, animals, insects, flowers, vegetables, comic, slides, etc.
T91 [21] 91 (264, 204) 58, 853 PNG car, flower, fruit, human face, etc.
Urban100 [50] 100 (984, 797) 774, 314 PNG architecture, city, structure, urban, etc.
and specifically indicate their amounts of HR images, aver-
age resolution, average numbers of pixels, image formats,
and category keywords.
Besides these datasets, some datasets widely used for
other vision tasks are also employed for SR, such as Ima-
geNet [51], MS-COCO [52], VOC2012 [53], CelebA [54]. In
addition, combining multiple datasets for training is also
popular, such as combining T91 and BSDS300 [26], [27], [55],
[56], combining DIV2K and Flickr2K [31], [57].
2.3 Image Quality Assessment
Image quality refers to visual attributes of images and fo-
cuses on the perceptual assessments of viewers. In general,
image quality assessment (IQA) methods include subjective
methods based on humans’ perception (i.e., how realistic
the image looks) and objective computational methods.
The former is more in line with our need but often time-
consuming and expensive, thus the latter is currently the
mainstream. However, these methods aren’t necessarily con-
sistent between each other, because objective methods are
often unable to capture the human visual perception very
accurately, which may lead to large difference in IQA results
[25], [58].
In addition, the objective IQA methods are further di-
vided into three types [58]: full-reference methods perform-
ing assessment using reference images, reduced-reference
methods based on comparisons of extracted features, and
no-reference methods (i.e., blind IQA) without any refer-
ence images. Next we’ll introduce several most commonly
used IQA methods covering both subjective methods and
objective methods.
2.3.1 Peak Signal-to-Noise Ratio
Peak signal-to-noise ratio (PSNR) is one of the most popular
reconstruction quality measurement of lossy transforma-
tion (e.g., image compression, image inpainting). For image
super-resolution, PSNR is defined via the maximum pixel
value (denoted as L) and the mean squared error (MSE)
between images. Given the ground truth image I with N
pixels and the reconstruction
ˆ
I, the PSNR between I and
ˆ
I
are defined as follows:
PSNR = 10 · log
10
(
L
2
1
N
P
N
i=1
(I(i) −
ˆ
I(i))
2
), (6)
where L equals to 255 in general cases using 8-bit repre-
sentations. Since the PSNR is only related to the pixel-level
MSE, only caring about the differences between correspond-
ing pixels instead of visual perception, it often leads to poor
performance in representing the reconstruction quality in
real scenes, where we’re usually more concerned with hu-
man perceptions. However, due to the necessity to compare
with literature works and the lack of completely accurate
perceptual metrics, PSNR is still currently the most widely
used evaluation criteria for SR models.
2.3.2 Structural Similarity
Considering that the human visual system (HVS) is highly
adapted to extract image structures [59], the structural
similarity index (SSIM) [58] is proposed for measuring the
structural similarity between images, based on independent
comparisons in terms of luminance, contrast, and structures.
For an image I with N pixels, the luminance µ
I
and contrast
σ
I
are estimated as the mean and standard deviation of
the image intensity, respectively, i.e., µ
I
=
1
N
P
N
i=1
I(i) and
σ
I
= (
1
N−1
P
N
i=1
(I(i) − µ
I
)
2
)
1
2
, where I(i) represents the
intensity of the i-th pixel of image I. And the comparisons
on luminance and contrast, denoted as C
l
(I,
ˆ
I) and C
c
(I,
ˆ
I)
respectively, are given by:
C
l
(I,
ˆ
I) =
2µ
I
µ
ˆ
I
+ C
1
µ
2
I
+ µ
2
ˆ
I
+ C
1
, (7)
C
c
(I,
ˆ
I) =
2σ
I
σ
ˆ
I
+ C
2
σ
2
I
+ σ
2
ˆ
I
+ C
2
, (8)
where C
1
= (k
1
L)
2
and C
2
= (k
2
L)
2
are constants for
avoiding instability, k
1
1 and k
2
1.
Besides, the image structure is represented by the nor-
malized pixel values (i.e., (I − µ
I
)/σ
I
), whose correlations
(i.e., inner product) measure the structural similarity, equiv-
L为图片像素值可以取到的最大值。
8bit图则为255
K1、K2怎么取?
4
alent to the correlation coefficient between I and
ˆ
I. Thus the
structure comparison function C
s
(I,
ˆ
I) is defined as:
σ
I
ˆ
I
=
1
N − 1
N
X
i=1
(I(i) − µ
I
)(
ˆ
I(i) − µ
ˆ
I
), (9)
C
s
(I,
ˆ
I) =
σ
I
ˆ
I
+ C
3
σ
I
σ
ˆ
I
+ C
3
, (10)
where σ
I,
ˆ
I
is the covariance between I and
ˆ
I, and C
3
is a
constant for stability.
Finally, the SSIM is given by:
SSIM(I,
ˆ
I) = [C
l
(I,
ˆ
I)]
α
[C
c
(I,
ˆ
I)]
β
[C
s
(I,
ˆ
I)]
γ
, (11)
where α, β, γ are control parameters for adjusting the
relative importance.
Since the SSIM evaluates the reconstruction quality from
the perspective of the HVS, it better meets the requirements
of perceptual assessment [60], [61], and is also widely used.
2.3.3 Mean Opinion Score
Mean opinion score (MOS) testing is a commonly used
subjective IQA method, where human raters are asked to
assign perceptual quality scores to tested images. Typically,
the scores are from 1 (bad) to 5 (good). And the final MOS
is calculated as the arithmetic mean over all ratings.
Although the MOS testing seems a faithful IQA method,
it has some inherent defects, such as non-linearly perceived
scales, biases and variance of rating criteria. In reality, there
are some SR models performing poorly in common IQA
metrics (e.g., PSNR) but far exceeding others in terms of
perceptual quality, in which case the MOS testing is the
most reliable IQA method for accurately measuring the
perceptual quality [8], [25], [46], [62], [63], [64], [65].
2.3.4 Learning-based Perceptual Quality
In order to better assess the image perceptual quality while
reducing manual intervention, researchers try to assess the
perceptual quality by learning on large datasets. Specifically,
Ma et al. [66] and Talebi et al. [67] propose no-reference
Ma and NIMA, respectively, which are learned from visual
perceptual scores and directly predict the quality scores
without ground-truth images. In contrast, Kim et al. [68] pro-
pose DeepQA, which predicts visual similarity of images by
training on triplets of distorted images, objective error maps,
and subjective scores. And Zhang et al. [69] collect a large-
scale perceptual similarity dataset, evaluate the perceptual
image patch similarity (LPIPS) according to the difference in
deep features by trained deep networks, and show that the
deep features learned by CNNs model perceptual similarity
much better than measures without CNNs.
Although these methods exhibit better performance on
capturing human visual perception, what kind of perceptual
quality we need (e.g., more realistic images, or consistent
identity to the original image) remains a question to be
explored, thus the objective IQA methods (e.g., PSNR, SSIM)
are still the mainstreams currently.
2.3.5 Task-based Evaluation
According to the fact that SR models can often help other
vision tasks [6], [7], [8], [9], evaluating reconstruction per-
formance by means of other tasks is another effective way.
Specifically, researchers feed the original and the recon-
structed HR images into trained models, and evaluate the
reconstruction quality by comparing the impacts on the pre-
diction performance. The vision tasks used for evaluation
include object recognition [8], [70], face recognition [71], [72],
face alignment and parsing [30], [73], etc.
2.3.6 Other IQA Methods
In addition to above IQA methods, there are other less
popular SR metrics. The multi-scale structural similarity
(MS-SSIM) [74] supplies more flexibility than single-scale
SSIM in incorporating the variations of viewing conditions.
The feature similarity (FSIM) [75] extracts feature points
of human interest based on phase congruency and image
gradient magnitude to evaluate image quality. The Natural
Image Quality Evaluator (NIQE) [76] makes use of mea-
surable deviations from statistical regularities observed in
natural images, without exposure to distorted images.
Recently, Blau et al. [77] prove mathematically that dis-
tortion (e.g., PSNR, SSIM) and perceptual quality (e.g.,
MOS) are at odds with each other, and show that as the
distortion decreases, the perceptual quality must be worse.
Thus how to accurately measure the SR quality is still an
urgent problem to be solved.
2.4 Operating Channels
In addition to the commonly used RGB color space, the
YCbCr color space is also widely used for SR. In this space,
images are represented by Y, Cb, Cr channels, denoting
the luminance, blue-difference and red-difference chroma
components, respectively. Although currently there is no
accepted best practice for performing or evaluating super-
resolution on which space, earlier models favor operating
on the Y channel of YCbCr space [26], [43], [78], [79], while
more recent models tend to operate on RGB channels [28],
[31], [57], [70]. It is worth noting that operating (training or
evaluation) on different color spaces or channels can make
the evaluation results differ greatly (up to 4 dB) [23].
2.5 Super-resolution Challenges
In this section, we will briefly introduce two most popular
challenges for image SR, NTIRE [80] and PIRM [47], [81].
NTIRE Challenge. The New Trends in Image Restora-
tion and Enhancement (NTIRE) challenge [80] is in conjunc-
tion with CVPR and includes multiple tasks like SR, denois-
ing and colorization. For image SR, the NTIRE challenge
is built on the DIV2K [42] dataset and consists of bicubic
downscaling tracks and blind tracks with realistic unknown
degradation. These tracks differs in degradations and scal-
ing factors, and aim to promote the SR research under both
ideal conditions and real-world adverse situations.
PIRM Challenge. The Perceptual Image Restoration and
Manipulation (PIRM) challenges are in conjunction with
ECCV and also includes multiple tasks. In contrast to
NTIRE, one sub-challenge [47] of PIRM focuses on the trade-
off between generation accuracy and perceptual quality, and
C3怎么求?
5
the other [81] focuses on SR on smartphones. As is well-
known [77], the models target for distortion frequently pro-
duce visually unpleasing results, while the models target for
perceptual quality performs poorly on information fidelity.
Specifically, the PIRM divided the perception-distortion
plane into three regions according to thresholds on root
mean squared error (RMSE). In each region, the winning
algorithm is the one that achieves the best perceptual quality
[77], evaluated by NIQE [76] and Ma [66]. While in the
other sub-challenge [81], SR on smartphones, participants
are asked to perform SR with limited smartphone hardwares
(including CPU, GPU, RAM, etc.), and the evaluation met-
rics include PSNR, MS-SSIM and MOS testing. In this way,
PIRM encourages advanced research on the perception-
distortion tradeoff, and also drives lightweight and efficient
image enhancement on smartphones.
3 SUPERVISED SUPER-RESOLUTION
Nowadays researchers have proposed a variety of super-
resolution models with deep learning. These models fo-
cus on supervised SR, i.e., trained with both LR images
and corresponding HR images. Although the differences
between these models are very large, they are essentially
some combinations of a set of components such as model
frameworks, upsampling methods, network design, and
learning strategies. From this perspective, researchers com-
bine these components to build an integrated SR model for
fitting specific purposes. In this section, we concentrate on
modularly analyzing the fundamental components (as Fig.
1 shows) instead of introducing each model in isolation, and
summarizing their advantages and limitations.
3.1 Super-resolution Frameworks
Since image super-resolution is an ill-posed problem, how
to perform upsampling (i.e., generating HR output from LR
input) is the key problem. Although the architectures of
existing models vary widely, they can be attributed to four
model frameworks (as Fig. 2 shows), based on the employed
upsampling operations and their locations in the model.
3.1.1 Pre-upsampling Super-resolution
On account of the difficulty of directly learning the mapping
from low-dimensional space to high-dimensional space, uti-
lizing traditional upsampling algorithms to obtain higher-
resolution images and then refining them using deep neural
networks is a straightforward solution. Thus Dong et al.
[22], [23] firstly adopt the pre-upsampling SR framework
(as Fig. 2a shows) and propose SRCNN to learn an end-to-
end mapping from interpolated LR images to HR images.
Specifically, the LR images are upsampled to coarse HR
images with the desired size using traditional methods (e.g.,
bicubic interpolation), then deep CNNs are applied on these
images for reconstructing high-quality details.
Since the most difficult upsampling operation has been
completed, CNNs only need to refine the coarse images,
which significantly reduces the learning difficulty. In ad-
dition, these models can take interpolated images with
arbitrary sizes and scaling factors as input, and give re-
fined results with comparable performance to single-scale
conv
upsample
conv
conv
(a) Pre-upsampling SR
upsample
conv
conv
conv
(b) Post-upsampling SR
upsample
conv
conv
upsample
conv
conv
(c) Progressive upsampling SR
conv
upsample
downsample
upsample
upsample
downsample
(d) Iterative up-and-down Sampling SR
Fig. 2. Super-resolution model frameworks based on deep learning. The
cube size represents the output size. The gray ones denote predefined
upsampling, while the green, yellow and blue ones indicate learnable
upsampling, downsampling and convolutional layers, respectively. And
the blocks enclosed by dashed boxes represent stackable modules.
SR models [26]. Thus it has gradually become one of the
most popular frameworks [55], [56], [82], [83], and the main
differences between these models are the posterior model
design (Sec. 3.3) and learning strategies (Sec. 3.4). However,
the predefined upsampling often introduce side effects (e.g.,
noise amplification and blurring), and since most operations
are performed in high-dimensional space, the cost of time
and space is much higher than other frameworks [43], [84].
3.1.2 Post-upsampling Super-resolution
In order to improve the computational efficiency and make
full use of deep learning technology to increase resolution
automatically, researchers propose to perform most compu-
tation in low-dimensional space by replacing the predefined
upsampling with end-to-end learnable layers integrated at
the end of the models. In the pioneer works [43], [84]
of this framework, namely post-upsampling SR as Fig. 2b
shows, the LR input images are fed into deep CNNs without
increasing resolution, and end-to-end learnable upsampling
layers are applied at the end of the network.
小变大
先对原始LR图像使用传统
方法上采样扩大到任意尺
度。再使用deep learning
的方法进行修正。
缺点:传统方法上采样会
放大噪声,造成模糊。同
时图像变大,使网络修正
时间边长。
先在原始LR图像学习特征,再在
最后进行上采样恢复成HR
渐进上采样
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