Total variation （TV） is widely applied in image process-ing. The assumption of TV is that an image consists of piecewise constants, however, it suffers from the so-cal ed staircase effect. In order to reduce the sta...Total variation （TV） is widely applied in image process-ing. The assumption of TV is that an image consists of piecewise constants, however, it suffers from the so-cal ed staircase effect. In order to reduce the staircase effect and preserve the edges when textures of image are extracted, a new image decomposition model is proposed in this paper. The proposed model is based on the to-tal generalized variation method which involves and balances the higher order of the structure. We also derive a numerical algorithm based on a primal-dual formulation that can be effectively imple-mented. Numerical experiments show that the proposed method can achieve a better trade-off between noise removal and texture extraction, while avoiding the staircase effect efficiently.展开更多
The blurred image restoration method can dramatically highlight the image details and enhance the global contrast, which is of benefit to improvement of the visual effect during practical ap- plications. This paper is...The blurred image restoration method can dramatically highlight the image details and enhance the global contrast, which is of benefit to improvement of the visual effect during practical ap- plications. This paper is based on the dark channel prior principle and aims at the prior information absent blurred image degradation situation. A lot of improvements have been made to estimate the transmission map of blurred images. Since the dark channel prior principle can effectively restore the blurred image at the cost of a large amount of computation, the total variation （TV） and image morphology transform （specifically top-hat transform and bottom- hat transform） have been introduced into the improved method. Compared with original transmission map estimation methods, the proposed method features both simplicity and accuracy. The es- timated transmission map together with the element can restore the image. Simulation results show that this method could inhibit the ill-posed problem during image restoration, meanwhile it can greatly improve the image quality and definition.展开更多
稀疏重建是当前CT(computed tomography)领域的研究热点,其实质是用稀疏视角下的投影来重建图像,以减少扫描过程中对病患的辐射剂量。随着压缩感知理论的提出,稀疏重建算法已经被广泛应用到了医学CT中。TV(total variation)算法是可以...稀疏重建是当前CT(computed tomography)领域的研究热点,其实质是用稀疏视角下的投影来重建图像,以减少扫描过程中对病患的辐射剂量。随着压缩感知理论的提出,稀疏重建算法已经被广泛应用到了医学CT中。TV(total variation)算法是可以实现稀疏重建的一种有效方法。本文设计了一种基于ADMM(alternating direction method of multipliers)的TV算法,先将非约束的优化问题转换为约束形式,然后引入乘子,最后通过交替方向法实现迭代过程。该方法将复杂的优化问题分解为了若干个具有闭合形式的子优化问题,故迭代速度较快。仿真实验表明,与传统的滤波反投影算法相比,该算法可以实现稀疏角度下的高精度图像重建。同时还初步探讨了平衡因子在不同噪声情形下对重建精度的影响。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
基金supported by the National Natural Science Foundation of China(6127129461301229)+1 种基金the Doctoral Research Fund of Henan University of Science and Technology(0900170809001751)
文摘Total variation （TV） is widely applied in image process-ing. The assumption of TV is that an image consists of piecewise constants, however, it suffers from the so-cal ed staircase effect. In order to reduce the staircase effect and preserve the edges when textures of image are extracted, a new image decomposition model is proposed in this paper. The proposed model is based on the to-tal generalized variation method which involves and balances the higher order of the structure. We also derive a numerical algorithm based on a primal-dual formulation that can be effectively imple-mented. Numerical experiments show that the proposed method can achieve a better trade-off between noise removal and texture extraction, while avoiding the staircase effect efficiently.
基金supported by the National Natural Science Foundation of China(61301095)the Chinese University Scientific Fund(HEUCF130807)the Chinese Defense Advanced Research Program of Science and Technology(10J3.1.6)
文摘The blurred image restoration method can dramatically highlight the image details and enhance the global contrast, which is of benefit to improvement of the visual effect during practical ap- plications. This paper is based on the dark channel prior principle and aims at the prior information absent blurred image degradation situation. A lot of improvements have been made to estimate the transmission map of blurred images. Since the dark channel prior principle can effectively restore the blurred image at the cost of a large amount of computation, the total variation （TV） and image morphology transform （specifically top-hat transform and bottom- hat transform） have been introduced into the improved method. Compared with original transmission map estimation methods, the proposed method features both simplicity and accuracy. The es- timated transmission map together with the element can restore the image. Simulation results show that this method could inhibit the ill-posed problem during image restoration, meanwhile it can greatly improve the image quality and definition.
基金National Natural Science Foundation of China，the Postdoc-toral Science Foundation of China，National Sci-ence Fund for Distinguished Young Scholars of China (61025014) Recommended by Associate Editor ZHOU Jie
文摘稀疏重建是当前CT(computed tomography)领域的研究热点,其实质是用稀疏视角下的投影来重建图像,以减少扫描过程中对病患的辐射剂量。随着压缩感知理论的提出,稀疏重建算法已经被广泛应用到了医学CT中。TV(total variation)算法是可以实现稀疏重建的一种有效方法。本文设计了一种基于ADMM(alternating direction method of multipliers)的TV算法,先将非约束的优化问题转换为约束形式,然后引入乘子,最后通过交替方向法实现迭代过程。该方法将复杂的优化问题分解为了若干个具有闭合形式的子优化问题,故迭代速度较快。仿真实验表明,与传统的滤波反投影算法相比,该算法可以实现稀疏角度下的高精度图像重建。同时还初步探讨了平衡因子在不同噪声情形下对重建精度的影响。
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。
