为了更好地复原图像的细节,提出了一种结合局部与非局部的图像复原方法。将图像中的细节准确地提取出来,对提取的细节进行非局部全变差约束,同时对剩下的图像成分进行局部全变差约束。提出的方法很好地结合了非局部全变差和局部全变差...为了更好地复原图像的细节,提出了一种结合局部与非局部的图像复原方法。将图像中的细节准确地提取出来,对提取的细节进行非局部全变差约束,同时对剩下的图像成分进行局部全变差约束。提出的方法很好地结合了非局部全变差和局部全变差的优点,实现了图像细节更好的复原。实验结果表明,提出的方法与近几年的一些较好的图像复原方法相比,不仅主观的视觉效果得到了明显的改进,而且客观的峰值信噪比也增加了0.11~2.28 d B。展开更多
The relatively long scan time is still a bottleneck for both clinical applications and research of magnetic resonance imaging. To reduce the data acquisition time, we propose a novel fast magnetic resonance imaging me...The relatively long scan time is still a bottleneck for both clinical applications and research of magnetic resonance imaging. To reduce the data acquisition time, we propose a novel fast magnetic resonance imaging method based on parallel variable-density spiral acquisition, which combines undersampling optimization and nonlocal total variation reconstruction. The undersampling optimization promotes the incoherence of resultant aliasing artifact via the ＂worst-case＂ residual error metric, and thus accelerates the data acquisition. Moreover, nonlocal total variation reconstruction is utilized to remove such an incoherent aliasing artifact and so improve image quality. The feasibility of the proposed method is demonstrated by both numerical phantom simulation and in vivo experiment. The experimental results show that the proposed method can achieve high acceleration factor and effectively remove an aliasing artifact from data undersampling with well-preserved image details. The image quality is better than that achieved with the total variation method.展开更多
压缩感知理论借助信号内在的稀疏性或可压缩性,利用随机投影实现在远低于奈奎斯特频率的采样频率下对压缩数据进行采集。将该技术应用于医学成像领域可以加快MRI/MRA的扫描速度,提高扫描效率,减少患者的不适感。以NLTV(Nonlocal Total V...压缩感知理论借助信号内在的稀疏性或可压缩性,利用随机投影实现在远低于奈奎斯特频率的采样频率下对压缩数据进行采集。将该技术应用于医学成像领域可以加快MRI/MRA的扫描速度,提高扫描效率,减少患者的不适感。以NLTV(Nonlocal Total Variation)正则化来改善传统TV导致的边缘模糊、阶梯效应等缺点,提出改进的NESTA算法(简称NLTV-ROI-NESTA算法)实现MRI/MRA图像感兴趣区域(Region of Interests,ROIs)的精确重构,增强低对比度血管的细节信息,以峰值信噪比、结构化相似度、相对误差3个指标来定性、定量地评价算法的性能。实验结果表明,与传统的压缩感知重构算法相比,NLTV-ROI-NESTA算法在重构精度和细节保留方面均具有明显优势,能较好地保持低对比度血管或其他感兴趣区域的细节特征,在快速医学成像领域具有广阔的应用前景。展开更多
In this paper, we study the restoration of images simultaneously corrupted by blur and impulse noise via variational approach with a box constraint on the pixel values of an image. In the literature, the TV-l^1 variat...In this paper, we study the restoration of images simultaneously corrupted by blur and impulse noise via variational approach with a box constraint on the pixel values of an image. In the literature, the TV-l^1 variational model which contains a total variation （TV） regularization term and an l^1 data-fidelity term, has been proposed and developed. Several numerical methods have been studied and experimental results have shown that these methods lead to very promising results. However, these numerical methods are designed based on approximation or penalty approaches, and do not consider the box constraint. The addition of the box constraint makes the problem more difficult to handle. The main contribution of this paper is to develop numerical algorithms based on the derivation of exact total variation and the use of proximal operators. Both one-phase and two-phase methods are considered, and both TV and nonlocal TV versions are designed. The box constraint [0, 1] on the pixel values of an image can be efficiently handled by the proposed algorithms. The numerical experiments demonstrate that the proposed methods are efficient in computational time and effective in restoring images with impulse noise.展开更多
A novel reference-driven method for MR image reconstruction based on wavelet sparsity and nonlocal total variation（NLTV）is proposed.Utilizing the sparsity of the difference image between the target image and the mot...A novel reference-driven method for MR image reconstruction based on wavelet sparsity and nonlocal total variation（NLTV）is proposed.Utilizing the sparsity of the difference image between the target image and the motion-compensated reference image in wavelet transform domain,the proposed method does not need to estimate contrast changes and therefore increases computational efficiency.Additionally,NLTV regularization is applied to preserve image details and features without blocky effects.An efficient alternating iterative algorithm is used to estimate motion effects and reconstruct the difference image.Experimental results demonstrate that the proposed method can significantly reduce sampling rate or improve the quality of the reconstructed image alternatively.展开更多
文摘为了更好地复原图像的细节,提出了一种结合局部与非局部的图像复原方法。将图像中的细节准确地提取出来,对提取的细节进行非局部全变差约束,同时对剩下的图像成分进行局部全变差约束。提出的方法很好地结合了非局部全变差和局部全变差的优点,实现了图像细节更好的复原。实验结果表明,提出的方法与近几年的一些较好的图像复原方法相比,不仅主观的视觉效果得到了明显的改进,而且客观的峰值信噪比也增加了0.11~2.28 d B。
基金Project supported by the National Natural Science Foundation of China(Grant Nos.81101030 and 61271132)
文摘The relatively long scan time is still a bottleneck for both clinical applications and research of magnetic resonance imaging. To reduce the data acquisition time, we propose a novel fast magnetic resonance imaging method based on parallel variable-density spiral acquisition, which combines undersampling optimization and nonlocal total variation reconstruction. The undersampling optimization promotes the incoherence of resultant aliasing artifact via the ＂worst-case＂ residual error metric, and thus accelerates the data acquisition. Moreover, nonlocal total variation reconstruction is utilized to remove such an incoherent aliasing artifact and so improve image quality. The feasibility of the proposed method is demonstrated by both numerical phantom simulation and in vivo experiment. The experimental results show that the proposed method can achieve high acceleration factor and effectively remove an aliasing artifact from data undersampling with well-preserved image details. The image quality is better than that achieved with the total variation method.
文摘压缩感知理论借助信号内在的稀疏性或可压缩性,利用随机投影实现在远低于奈奎斯特频率的采样频率下对压缩数据进行采集。将该技术应用于医学成像领域可以加快MRI/MRA的扫描速度,提高扫描效率,减少患者的不适感。以NLTV(Nonlocal Total Variation)正则化来改善传统TV导致的边缘模糊、阶梯效应等缺点,提出改进的NESTA算法(简称NLTV-ROI-NESTA算法)实现MRI/MRA图像感兴趣区域(Region of Interests,ROIs)的精确重构,增强低对比度血管的细节信息,以峰值信噪比、结构化相似度、相对误差3个指标来定性、定量地评价算法的性能。实验结果表明,与传统的压缩感知重构算法相比,NLTV-ROI-NESTA算法在重构精度和细节保留方面均具有明显优势,能较好地保持低对比度血管或其他感兴趣区域的细节特征,在快速医学成像领域具有广阔的应用前景。
文摘In this paper, we study the restoration of images simultaneously corrupted by blur and impulse noise via variational approach with a box constraint on the pixel values of an image. In the literature, the TV-l^1 variational model which contains a total variation （TV） regularization term and an l^1 data-fidelity term, has been proposed and developed. Several numerical methods have been studied and experimental results have shown that these methods lead to very promising results. However, these numerical methods are designed based on approximation or penalty approaches, and do not consider the box constraint. The addition of the box constraint makes the problem more difficult to handle. The main contribution of this paper is to develop numerical algorithms based on the derivation of exact total variation and the use of proximal operators. Both one-phase and two-phase methods are considered, and both TV and nonlocal TV versions are designed. The box constraint [0, 1] on the pixel values of an image can be efficiently handled by the proposed algorithms. The numerical experiments demonstrate that the proposed methods are efficient in computational time and effective in restoring images with impulse noise.
基金Supported by the National Natural Science Foundation of China(61077022)
文摘A novel reference-driven method for MR image reconstruction based on wavelet sparsity and nonlocal total variation（NLTV）is proposed.Utilizing the sparsity of the difference image between the target image and the motion-compensated reference image in wavelet transform domain,the proposed method does not need to estimate contrast changes and therefore increases computational efficiency.Additionally,NLTV regularization is applied to preserve image details and features without blocky effects.An efficient alternating iterative algorithm is used to estimate motion effects and reconstruct the difference image.Experimental results demonstrate that the proposed method can significantly reduce sampling rate or improve the quality of the reconstructed image alternatively.
