Adaptive k-space sampling design for edge-enhanced DCE-MRI using compressed sensing

The critical challenge in dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) is the trade-off between spatial and temporal resolution due to the limited availability of acquisition time. To address this, it is imperative to under-sample k-space and to develop specific reconstruction techniques. Our proposed method reconstructs high-quality images from under-sampled dynamic k-space data by proposing two main improvements; i) design of an adaptive k-space sampling lattice and ii) edge-enhanced reconstruction technique. A high-resolution data set obtained before the start of the dynamic phase is utilized. The sampling pattern is designed to adapt to the nature of k-space energy distribution obtained from the static high-resolution data. For image reconstruction, the well-known compressed sensing-based total variation (TV) minimization constrained reconstruction scheme is utilized by incorporating the gradient information obtained from the static high-resolution data. The proposed method is tested on seven real dynamic time series consisting of 2 breast data sets and 5 abdomen data sets spanning 1196 images in all. For data availability of only 10%, performance improvement is seen across various quality metrics. Average improvements in Universal Image Quality Index and Structural Similarity Index Metric of up to 28% and 24% on breast data and about 17% and 9% on abdomen data, respectively, are obtained for the proposed method as against the baseline TV reconstruction with variable density random sampling pattern.     

Truncation artifact reduction in spectroscopic imaging using a dual-density spiral k-space trajectory

Truncation artifacts arise in magnetic resonance spectroscopic imaging (MRSI) of the human brain due to limited coverage of k-space necessitated by low SNR of metabolite signal and limited scanning time. In proton MRSI of the head, intense extra-cranial lipid signals “bleed” into brain regions, thereby contaminating signals of metabolites therein. This work presents a data acquisition strategy for reducing truncation artifact based on extended k-space coverage achieved with a dual-SNR strategy. Using the fact that the SNR in k-space increases monotonically with sampling density, dual-SNR is achieved in an efficient manner with a dual-density spiral k-space trajectory that permits a smooth transition from high density to low density. The technique is demonstrated to be effective in reducing “bleeding” of extra-cranial lipid signals while preserving the SNR of metabolites in the brain.     

多帧距离选通图像点扩散函数估计的超分辨率重建

为了解决水下激光距离选通图像成像过程中退化模型复杂的难题,提出了利用连续帧图像估计点扩散函数的距离选通超分辨成像方法。首先,从连续帧图像中选取一帧为参考帧作为初始清晰图像,下一帧图像为模糊图像,用梯度约束的方法求出点扩散函数,用于优化清晰图像;然后,依次将后续帧图像当作模糊图像与清晰图像交替迭代求取点扩散函数并优化更新清晰图像;最后获得的清晰图像与参考帧图像用乘法更新的方法估计点扩散函数,结合凸集投影法算法进行超分辨率成像重建。仿真实验结果表明,改进的算法重建图像分辨率和质量明显优于原始的算法。     

基于改进维纳逆滤波的衍射成像光谱仪数据误差分析与重构

衍射成像光谱仪探测到的高光谱数据需要进行计算与反演才可以得到成像光谱数据,本文对衍射成像光谱仪的成像过程及数据误差产生的原理从空间维和光谱维两方面进行了分析,并针对其光谱重构过程中系统点扩散函数标准差较大时重构结果清晰度较低、存在振铃等问题,提出了基于改进维纳逆滤波的光谱数据重构算法,该方法在分析衍射成像光谱仪数据特点与误差的基础上,将每一次维纳逆滤波的重构结果视为新的模糊图像,利用成像过程及维纳逆滤波的基本原理确定新的模糊图像对应的点扩散函数,反复进行维纳逆滤波达到提高图像清晰度的效果,再根据图像自身的空间和光谱特征分布,进行自适应性的噪声去除.利用模拟的衍射成像光谱数据进行验证,在系统点扩散函数的标准差为2.5的情况下,能得到无振铃的重构结果,且与传统维纳逆滤波法的重构结果进行比较,清晰度、细节能力等指标均有所提高,满足了衍射成像光谱数据应用需求.     

Lucy-Richardson算法用于针孔图像的恢复

计算了X射线针孔成像系统的点扩散函数矩阵，利用Lucy-Richardson算法对模拟和真实的针孔图像进行了较好的恢复，分析了恢复后得到的结果，给出了合理的迭代次数、恢复方法细节和恢复图像的分辨率，并用模拟实验验证了Lucy-Richardson算法对针孔图像进行恢复的可靠性. 关键词： 针孔成像 点扩散函数 Lucy-Richardson算法     

Simulation of a polarization pupil filter using magneto-optic lens under elliptically polarized illumination

An active lens made of magneto-optic glass element and placed before a linear polarizer is shown to simulate the pupil plane amplitude and phase filter due to thickness dependent Faraday rotation variation in radial direction. Changing the applied magnetic flux density can dynamically change the pupil characteristics. The variation of intensity point spread function (IPSF) and optical transfer function (OTF) with magnetic flux density for elliptically polarized input beam is studied.     

图像复原处理方法在显微测量LiNbO3表面缺陷中的应用

研究了图像复原处理在显微测量中的应用。在实测系统点扩展函数的基础上,首先利用图像复原方法对显微图像进行复原处理,然后用二维处理方法实现对缝宽的精确显微测量。实现了在普通光学显微镜下铌酸锂(LiN- bO_3)极化畴结构样品缺陷大小的便捷测量。     

数字图像消卷积在显微测量中的应用

研究了数字图像消卷积在显微测量中的应用。在测量系统点扩展函数的基础上,利用频谱空间变换消卷积图像处理方法,消除了传统光学显微成像中的几何不清晰度。通过对显微图像进行复原,实现了反射式一维线宽的显微精确测量。在医用接骨钢板表面质量的评价中,对10μm量级的划痕宽度实现了精确和方便的测量。该技术对相关计量技术的发展具有重要意义。     

空变环形编码孔成像模拟与图像复原

环形编码孔成像技术具有高的探测效率和信噪比,是一种解决低强度脉冲辐射源成像较好的技术。基于该技术,利用Geant4建立环形编码孔中子成像的模拟过程,获取6个不同位置的点扩散函数(PSF)和编码图像。根据空间移变图像分块原理,将图像分成矩形和圆形分块,每一块图像用RL迭代法复原,去除边界明显畸变的像素,这些像素强度由相邻的图像块像素到边界距离的加权系数叠加而成。模拟结果表明,该方法提高了图像复原效果,能够更好地诊断射线区域的空间分布情况。     

高能X光照相中密度重建的共轭梯度算法

通过对高能X光照相过程的物理分析,得到了辐射照相的点扩展函数,给出了估价函数的表达式.并以典型的法国试验客体模型为例,将共轭梯度算法应用到高能X光照相的密度重建中,得到了较满意的结果.这种方法从模拟辐射照相过程出发,将辐射照相的模拟结果与实际测量结果做比较并找出最大可能解.可在一定程度上克服其它密度重建算法通过反卷积过程消除模糊效应所引起的不确定性.     

基于水下成像系统模型的水下图像超分辨率重建技术研究

水下成像技术在诸多领域获得了越来越多的应用,然而由于受到成像器件参数、水体特性等成像系统参数的影响,水下图像的分辨率普遍较低、像质较差。基于包括点扩散函数、衍射极限等水下成像系统模型的图像超分辨率重建技术,能够在提高图像分辨率的同时增强图像质量。为了尽可能提高图像分辨率,建立了基于光束传播理论的超分辨率成像模型,并将其应用于水下脉冲激光距离选通成像结果图像的超分辨率重构。重构实验的结果表明,所提出的方法可以有效地提高水下成像的分辨率和质量。     

中子半影成像图像反演方法研究

给出了中子半影成像技术的原理;分析了系统分辨率的影响因子;利用MCNP软件对中子半影成像过程进行模拟;用改进的逆滤波和维纳滤波两种方法对成像主轴上一点源和偏轴两点源的编码图像进行重建,并对编码像在降低噪声和去除本底前后的反演结果进行了比较。模拟结果表明维纳滤波法能够更好地抑制统计噪声。     

多重交织抽样消除光电成像系统中的高阶残余频谱

光电成像系统的抽样过程引起图像频谱分布在频谱空间无限重复，即使抽样过程满足系统的Ｎｙｑｕｉｓｔ条件，即无频谱混叠，但在重建过程中，如果电子滤波的频率响应范围较宽，不能对高阶频谱项截止，它对高阶重复的频谱项的衰减所产生的残余频谱会在重建图像中产生假响应。本文提出用同一图像进行多重交织抽样的方法来消除重建过程中的高阶残余频谱，同时具有较好图像恢复的效果。在理论上用光学传递函数方法证明了有关的结论。     

A statistical method for characterizing the noise in nonlinearly reconstructed images from undersampled MR data: The POCS example

The projection-onto-convex-sets (POCS) algorithm is a powerful tool for reconstructing high-resolution images from undersampled k-space data. It is a nonlinear iterative method that attempts to estimate values for missing data. The convergence of the algorithm and its other deterministic properties are well established, but relatively little is known about how noise in the source data influences noise in the final reconstructed image. In this paper, we present an experimental treatment of the statistical properties in POCS and investigate 12 stochastic models for its noise distribution beside its nonlinear point spread functions. Statistical results show that as the ratio of the missing k-space data increases, the noise distribution in POCS images is no longer Rayleigh as with conventional linear Fourier reconstruction. Instead, the probability density function for the noise is well approximated by a lognormal distribution. For small missing data ratios, however, the noise remains Rayleigh distributed. Preliminary results show that in the presence of noise, POCS images are often dominated by POCS-enhanced noise rather than POCS-induced artifacts. Implicit in this work is the presentation of a general statistical method that can be used to assess the noise properties in other nonlinear reconstruction algorithms.