A trusted medical image super-resolution method based on feedback adaptive weighted dense network

https://doi.org/10.1016/j.artmed.2020.101857Get rights and content

Highlights

  • We introduce Feedback Adaptive Weight Dense Network (FAWDN) for medical image SR.

  • A feedback mechanism is proposed to obtain trusted high-resolution images.

  • We introduce adaptive weights into the dense links to adaptively select features.

Abstract

High-resolution (HR) medical images are preferred in clinical diagnoses and subsequent analysis. However, the acquisition of HR medical images is easily affected by hardware devices. As an effective and trusted alternative method, the super-resolution (SR) technology is introduced to improve the image resolution. Compared with traditional SR methods, the deep learning-based SR methods can obtain more clear and trusted HR images. In this paper, we propose a trusted deep convolutional neural network-based SR method named feedback adaptive weighted dense network (FAWDN) for HR medical image reconstruction. Specifically, the proposed FAWDN can transmit the information of the output image to the low-level features by a feedback connection. To explore advanced feature representation and reduce the feature redundancy in dense blocks, an adaptive weighted dense block (AWDB) is introduced to adaptively select the informative features. Experimental results demonstrate that our FAWDN outperforms the state-of-the-art image SR methods and can obtain more clear and trusted medical images than comparative methods.

Introduction

Medical images are widely used for clinical diagnosis, in which high-resolution (HR) images are preferred because they can provide much more significant structure and texture details than low-resolution (LR) images [1]. However, the acquisition of HR medical images is limited by hardware devices. As an effective and trusted alternative method, single image super-resolution (SR) aims to reconstruct the HR image from its LR counterpart. Image SR is initially proposed for natural image. Lots of medical image SR methods have also emerged in recent years, including interpolation-based [2], [3], reconstruction-based [4], [5], and learning-based methods [6], [7]. Although the interpolation-based SR methods are fast, the reconstructed HR image of these methods is blurred. The reconstruction-based methods consider image priors, e.g., non-local [8] and self-similarity [9], but these methods always lead to a lot of performance drop when the prior is inconsistent with test images. Conventional learning-based methods, e.g., sparse representation [6], compressed sensing [10], and random forest [11] have limited representation ability. Overall, the reconstructed HR images obtained by above methods are blurred or unreliable because these methods are susceptible to priors. Recently, convolutional neural network (CNN) based SR methods have achieved significant improvement in the performance. Dong et al. [12] propose the pioneering CNN-based method, which uses a full convolution neural network for natural image SR. After that, several SR networks focus on deeper or wider network architecture design such as VDSR [13], DRCN [14], SRDenseNet [15], and DRRN [16]. In addition to the CNN based methods, to obtain appealing visual effect, perceptual loss [17] and generative adversarial network (GAN) [18] are introduced into image SR. However, the textures and details generated by GAN may be different from the ground truth. In medical image SR, numbers of deep learning-based medical image SR methods have also been presented recently. Pham et al. [19] extend SRCNN to 3D cases for brain MR images SR. As for 2D medical image SR, Wei et al. [20] propose a deep network (DDSR) constructed by dense blocks for MR and CT image SR. However, all of the above methods are feedforward networks, in which the information can only pass from the input to the output. It is known that there always exists difference between the reconstruction result and the ground truth. In the feedforward network, its output cannot be transmitted to the input for improving the performance. As a consequence, these methods have limited ability to reconstruct fine textures, especially for the images with complicated details and textures.

To address the limitation of feedforward networks, we introduce a feedback mechanism into SR networks and propose a network denoted as Feedback Adaptive Weighted Dense Network (FAWDN) for trusted medical image SR. The implementation of this feedback mechanism is based on recurrent neural networks (RNNs) since RNN is indispensable for the feedback mechanism [21]. Through the feedback mechanism, our FAWDN can correct the error produced in the preceding time step and obtain a clearer HR image step by step.

As shown in Fig. 1, our FAWDN is comprised of three parts: the input unit, the hidden unit, and the output unit, respectively. The input unit is utilized to extract low-level features as the input state. Then, the concatenation of the input state and the hidden state will be fed into hidden unit to obtain a new hidden state, while the initial hidden state is the same as the input state. At each time step, the hidden state is passed to output unit to reconstruct HR images. Therefore, a reconstructed HR image is outputted by the FAWDN every time step. These reconstructed images have the same size but will be clearer with the time step. Besides, it will also be transmitted to the hidden unit at the next time step as the feedback signal to achieve the feedback mechanism. To obtain a superior hidden state, an adaptively weighted dense block (AWDB) is introduced into the hidden unit. AWDB is built on dense links [22], [15] because dense links have features reusing and strong representation capability. Furthermore, the dense link can eliminate gradient vanishing. However, in traditional dense links, each convolutional layer equally receives features from all previous convolutional layers, which makes the input features of each convolutional layer extraordinarily redundant. Therefore, we improve the original dense links by adding an adaptive weighting group before every convolutional layer in AWDB. So the convolutional layer can adaptively select informative features and reduce the feature redundancy. In summary, the contributions of this paper are as follows:

  • 1

    To improve medical images resolution, we introduce FAWDN for medical image SR as an alternative method. Experimental results indicate that the introduced FAWDN could obtain superior SR performance over comparative image SR methods.

  • 2

    To enhance the quality of reconstructed HR images, a feedback mechanism based on RNN is presented to correct the errors produced by the network at preceding time steps.

  • 3

    To reduce the redundancy of input features of convolutional layers in dense link, we introduce adaptive weighting groups into AWDB to adaptively select informative features. The adaptive weighting groups can be trained with the FWADN.

Section snippets

Feedback mechanism

In computer vision community, feedback mechanisms have been explored for some high-level tasks, such as classification [23], human pose estimation [24], and crowded counting [25]. However, since the targets of high-level and low-level tasks are different, it is inappropriate to directly transfer these methods to low-level vision tasks such as image SR. Furthermore, these networks achieve a feedback mechanism in a top-down manner, in which only the high-level feature is transmitted to the next

Network architecture

To achieve a strict feedback mechanism in neural networks, three indispensable conditions are required to be met. First, the network inevitably is recurrent over time so that the feedback signal could be routed to the input at next time step. Second, the feedback signal has to contain the information of the output image, thereby satisfying the condition of output to input. Third, the low-level features are combined with feedback signals as the total input. This is because no input feature can

Ablation study

Effectiveness of the feedback mechanism To verify the effectiveness of the feedback mechanism, we conduct a comparative experiment about three networks, which are illustrated in Fig. 5. The first network is our FAWDN with network depth D=40 and growth rate G=8 because small D and G can reduce training time. The second network has the same structure as the first one except for the loss function. We removed the loss function at the 1st time step of the second network so it no longer satisfies the

Conclusion

In this paper, we proposed a trusted medical image SR method denoted as FAWDN. To achieve the strict feedback mechanism, the hidden state is transmitted to the input state. Different from the feedback mechanism in a top-down manner, we forced the hidden state to contain the information of the output image by a loss function and fed low-level features into the hidden unit of FAWDN every time step. So, the proposed FAWDN met the condition of the strict feedback mechanism. In addition, we

Conflict of interest

All the authors declare that no conflict of interest exits in the submission of this manuscript and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed.

Acknowledgments

This work is sponsored by Key Research and Development Project of Science and Technology Commission Foundation of Sichuan Province (grant no. 2018FZ0036) and the National Natural Science Foundation of China (grant no. 61711540303 and 61701327). We appreciate the comments from the reviewers and editors, which help us improve the paper a lot. We also appreciate the help from our colleague Wenchi Zhang who help us in the experiments and the illustrations.

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