Super-Resolution of Magnetic Resonance Images via Convex Optimization with Local and Global Prior Regularization and Spectrum Fitting.

IF 3.3 Q2 ENGINEERING, BIOMEDICAL International Journal of Biomedical Imaging Pub Date : 2018-09-02 eCollection Date: 2018-01-01 DOI:10.1155/2018/9262847
Naoki Kawamura, Tatsuya Yokota, Hidekata Hontani
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引用次数: 4

Abstract

Given a low-resolution image, there are many challenges to obtain a super-resolved, high-resolution image. Many of those approaches try to simultaneously upsample and deblur an image in signal domain. However, the nature of the super-resolution is to restore high-frequency components in frequency domain rather than upsampling in signal domain. In that sense, there is a close relationship between super-resolution of an image and extrapolation of the spectrum. In this study, we propose a novel framework for super-resolution, where the high-frequency components are theoretically restored with respect to the frequency fidelities. This framework helps to introduce multiple simultaneous regularizers in both signal and frequency domains. Furthermore, we propose a new super-resolution model where frequency fidelity, low-rank (LR) prior, low total variation (TV) prior, and boundary prior are considered at once. The proposed method is formulated as a convex optimization problem which can be solved by the alternating direction method of multipliers. The proposed method is the generalized form of the multiple super-resolution methods such as TV super-resolution, LR and TV super-resolution, and the Gerchberg method. Experimental results show the utility of the proposed method comparing with some existing methods using both simulational and practical images.

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基于局部和全局先验正则化和频谱拟合的凸优化磁共振图像超分辨率。
对于低分辨率图像,获得超分辨率、高分辨率图像存在许多挑战。其中许多方法试图同时在信号域中对图像进行上采样和去模糊处理。然而,超分辨率的本质是在频域恢复高频成分,而不是在信号域上采样。从这个意义上说,在图像的超分辨率和光谱的外推之间有密切的关系。在这项研究中,我们提出了一种新的超分辨率框架,其中高频成分理论上相对于频率保真度恢复。该框架有助于在信号域和频域同时引入多个正则化器。此外,我们提出了一种同时考虑频率保真度、低秩(LR)先验、低总变差(TV)先验和边界先验的超分辨率模型。该方法被表述为一个凸优化问题,可以用乘子交替方向法求解。该方法是TV超分辨率、LR和TV超分辨率等多种超分辨率方法以及Gerchberg方法的推广形式。仿真和实际图像的实验结果表明了该方法与现有方法的有效性。
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来源期刊
CiteScore
12.00
自引率
0.00%
发文量
11
审稿时长
20 weeks
期刊介绍: The International Journal of Biomedical Imaging is managed by a board of editors comprising internationally renowned active researchers. The journal is freely accessible online and also offered for purchase in print format. It employs a web-based review system to ensure swift turnaround times while maintaining high standards. In addition to regular issues, special issues are organized by guest editors. The subject areas covered include (but are not limited to): Digital radiography and tomosynthesis X-ray computed tomography (CT) Magnetic resonance imaging (MRI) Single photon emission computed tomography (SPECT) Positron emission tomography (PET) Ultrasound imaging Diffuse optical tomography, coherence, fluorescence, bioluminescence tomography, impedance tomography Neutron imaging for biomedical applications Magnetic and optical spectroscopy, and optical biopsy Optical, electron, scanning tunneling/atomic force microscopy Small animal imaging Functional, cellular, and molecular imaging Imaging assays for screening and molecular analysis Microarray image analysis and bioinformatics Emerging biomedical imaging techniques Imaging modality fusion Biomedical imaging instrumentation Biomedical image processing, pattern recognition, and analysis Biomedical image visualization, compression, transmission, and storage Imaging and modeling related to systems biology and systems biomedicine Applied mathematics, applied physics, and chemistry related to biomedical imaging Grid-enabling technology for biomedical imaging and informatics
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