X射线CT环形伪影去除方法

为去除X射线CT图像中的环形伪影,建立了一种投影数据预处理方法。该方法通过对各角度投影数据逐一进行分段多项式拟合的方式建立异常探元的备选校正因子集合,再根据备选校正因子的概率密度分布确定最可几校正因子。介绍了方法的物理依据、原理及其实现步骤,并分析了其在复杂条件下的适应性。结果表明:该方法对稀疏环形伪影、密集环形伪影以及伴随强噪声污染的CT图像环形伪影均可去除;与中值滤波等方法相比,可以更好地保持图像的空间分辨率。该方法可用于多材质检测对象CT图像的处理。     

分数傅里叶域数字水印算法

基于离散分数傅里叶变换(DFRFT)快速算法发展了一种分数傅里叶谱域图像水印算法.该算法根据分数傅里叶变换谱具有空域和频域双域信息表达能力,分别对原始图像和所加水印信息进行不同级次的分数傅里叶变换,提取水印分数傅里叶谱的低频成分并直接将其叠加到原始图像的分数傅里叶谱中的对角像元上,然后再进行逆变换得到水印图像.在JPEG压缩、图像旋转及剪切等攻击方式下,对该水印算法进行了鲁棒性分析,数值实验表明该水印算法具有良好的抗攻击性和安全性.     

基于Tetrolet变换的红外与可见光融合

针对目前红外与可见光图像融合速度慢、 融合结果对比度不高且易产生伪影的缺点,提出一种基于Tetrolet变换的改进融合算法。首先,将可见光图像转换到lαβ颜色空间得到三个几乎不相关的彩色通道;然后对其l分量和红外图像分别进行Tetrolet变换,对于低通系数引入邻域能量及其接近度的融合规则。而对Tetrolet系数采用伪随机傅里叶矩阵进行观测并加权融合其观测值;接下来对融合后观测值采用CoSaMP优化算法迭代出融合后的Tetrolet系数,并经Tetrolet重构得到融合后的灰度图像;最后将灰度图像映射到RGB颜色空间获得最终的融合图像。实验证明了本文算法的有效性。     

基于傅里叶-极坐标变换的相关结果后处理技术

在光学相关识别中,对相关输出结果进行后处理是保证图像识别准确性的关键之一。研究者通常采用神经网络技术对相关输出结果进行处理,并取得了较好的效果,但它需要预先准备大量的相关峰和噪声峰训练样本。根据极坐标变换能将笛卡尔坐标系下的旋转转变成平移的性质以及傅里叶变换的平移不变性,提出一种基于傅里叶-极坐标变换的相关结果后处理方法。验证结果表明:目标的旋转图像与目标自身的傅里叶-极坐标变换的相似度较大,而干扰图像与目标的傅里叶-极坐标变换的相似度较小。本文的方法在后处理阶段可对目标和干扰进行有效的分类识别,而且还能避免对相关峰和噪声峰训练样本的收集,从而使得光学相关识别系统的应用更加便利。     

超声全聚焦成像中等声程线伪影剔除方法*

针对超声全聚焦成像算法中等声程线扩散产生的原理性伪影问题,提出了一种基于超声回波声场有效等声程线和图像强度分布特征相结合的伪影剔除方法。首先分析了全聚焦成像算法中等声程线产生伪影的机理,根据数据均方根误差自适应辨识有效等声程线;通过Canny算子获取全聚焦图像待处理候选区域,再根据候选区域中有效等声程线相交次数和图像强度的分布特征辨识缺陷图像和伪影,利用图像中强度最低像素值扩展填充剔除伪影后的区域,进而达到剔除伪影的目的。通过在不同直径通孔类和槽类标准缺陷试块上声场模拟实验,结果表明伪影剔除效果显著。同时,该方法对噪声有也有一定的抑制能力,在不加滤波的条件下信号信噪比高于15dB时就可获得较好的去伪影效果。     

硬化伪影的新型表现形式及其校正

X射线硬化是导致工业CT重建图像质量下降的物理原因之一。硬化伪影通常表现为两种形式,即杯状伪影和带状伪影。描述并证实了硬化伪影的一种新型表现形式,这种伪影与真实结构相关,且分布规则,容易造成伪影与真实结构的混淆。采用线性化校正方法对该伪影进行抑制,提高了重建图像质量,改善了通过CT重建图像进行几何测量的精度。     

基于背景信息的磁共振成像尖峰噪声消除

磁共振成像扫描过程中如果在K空间中出现尖峰噪声,将会严重影响图像质量. 该文提出了一种利用磁共振图像背景信息来定位并修复尖峰噪声的方法. 首先将K空间数据沿着频率编码k_x和相位编码k_y 2个方向分别进行一维傅立叶变换,然后在获得的2个中间域数据中,分别截取出背景区域, 进行一维反傅立叶变换得到与背景对应的频率域数据,通过对背景频率域数据的分析,获得尖峰噪声的k_x和k_y坐标,最后对异常点进行修复. 该算法可以很好地消除各种模式的尖峰噪声,与已有的算法相比,能够更好地处理K空间中连续多个相位编码行上出现尖峰噪声的情况,有效地消除图像伪影.     

不对称离散分数傅里叶变换实现数字图像的加密变换

利用不对称分数傅里叶变换的特性,提出了一种图像加密变换的新方法。对图像的x,y方向分别实施不同级次的一维分数傅里叶变换,得到加密图像。解密方法就是对变换后的图像实施对应级次的分数傅里叶逆变换,只有当x,y方向的逆变换级次分别与原变换级次都相同或者满足周期条件时,才能恢复原图像。加密变换有效地提高了图像加密和防伪力度。数值计算验证了方法的正确性和可行性。     

低能X射线工业CT图像杯状伪影校正

为了去除X射线工业CT图像中的杯状伪影,提高CT图像的识别能力和量化分析精度,提出一种基于分度投影和权函数的射束硬化校正方法。首先分析得出杯状伪影主要是由X射线连续谱穿过被测物体过程中出现的射束硬化所导致。然后扫描阶梯模型,采集不同厚度下的投影数据并求出线衰减系数,通过拟合曲线,得到硬化模型函数和权函数校正模型函数,并确定权函数。接着,扫描被测圆柱形工件,采集不同分度下的投影数据。最后,针对每一个分度投影数据,采用权函数与当前分度投影数据乘积的方法进行硬化校正。对含有杯状伪影的实际CT图像进行了校正实验,结果表明,与多项式拟合法相比,该方法校正后的灰度图像没有放大噪声,且信噪比提高3.29%,有效地消除了杯状伪影,同时较好地保留了图像边界细节。     

基于双相位编码联合变换相关器的图像位移探测算法

提出了基于双相位编码联合变换相关器(JTC)的图像位移探测算法.随机产生一相位码对参考图像编码,与目标图像叠加作为输入图像,通过傅里叶变换得到联合功率谱,用同样的相位码对其编码并进行滤波,傅里叶逆变换后得到涉及位移矢量的互相关峰.给出了多帧图像间位移矢量的探测技术.相比传统的相关器探测技术,此算法能更有效地利用输入平面...     

Estimation of mutual information objective function based on Fourier shift theorem: an application to eddy current distortion correction in diffusion tensor imaging

Diffusion tensor imaging requires correction of eddy current distortion in diffusion-weighted images. An effective retrospective correction approach is to transform a diffusion-weighted image to maximize the mutual information (MI) between the transformed diffusion-weighted image and the corresponding T2-weighted image. In the literature, either linear interpolation or partial volume interpolation is applied to estimate the MI objective function. However, these interpolation methods induce artifacts to the MI objective function, thus compromising correction results. In this work, the MI objective function is estimated based on interpolation using Fourier shift theorem. This method eliminates the artifacts incurred with the aforementioned interpolation methods. The algorithm is further improved by approximating pixel values using their nearest neighbors in the up-sampled spatial domain, resulting in dramatically increased computational efficiency without compromising the correction results. The effects of varying the number of quantization levels and using Parzen window filtering to smooth the MI objective function are also investigated to obtain optimized algorithm parameters. The diffusion tensor image quality after applying the proposed distortion correction method is significantly improved visually.     

Single image motion deblurring: An accurate PSF estimation and ringing reduction

In this paper we have proposed a single image motion deblurring algorithm that is based on a novel use of dual Fourier spectrum combined with bit plane slicing algorithm and Radon transform (RT) for accurate estimation of PSF parameters such as, blur length and blur angle. Even after very accurate PSF estimation, the deconvolution algorithms tend to introduce ringing artifacts at boundaries and near strong edges. To prevent this post deconvolution effect, a post processing method is also proposed in the framework of traditional Richardson–Lucy (RL) deconvolution algorithm. Experimental results evaluated on the basis of both qualitative and quantitative (PSNR, SSIM) metrics, verified on the dataset of both grayscale and color blurred images show that the proposed method outperforms the existing algorithms for removal of uniform blur. A comparison with state-of-the-art methods proves the usefulness of the proposed algorithm for deblurring real-life images/photographs.     

An adaptive super-resolution method based on regional pixel information and ringing artifacts suppression

Multi-frame image super-resolution (SR) aims to utilize information from a set of low-resolution (LR) images to compose a high-resolution (HR) one. In this paper, a novel multi-frame image super-resolution algorithm is proposed based on regional pixel information and ringing artifacts suppression. Firstly, a new regularization term which adopts Regional Adaptive Weight Coefficients (RAWC) is produced to keep edges and flat regions. After detailed analysis, an iterative process is given for image reconstruction. Then an adaptive term according to the local variance of iterative correction image is designed to evaluate the ringing artifacts. Finally, the original iteration is updated by adding the restraint term for better visual effects and lower noise of reconstructive HR image. Thorough experimental results show the proposed algorithm is effective for SR reconstruction and ringing artifacts suppression.     

基于PHLST的红外与可见光图像融合算法

针对图像融合过程中边缘处理和区域一致性的问题,提出一种基于多重调和局部正弦变换的红外与可见光图像融合新算法.多重调和局部正弦变换的多重调和分量μ代表了图像缓慢变化的"趋势",在空域进行加权融合;残差分量υ体现了源图像的"波动",在傅里叶正弦变换域进行融合,以充分提取可见光图像的细节信息.由于不存在边缘效应,同时残差分量...     

Ring artifacts correction based on the projection-field in neutron CT

Ring artifacts will happen mostly when the detector has inconsistent response among the detector channels, and the characteristic produced rings centered in the iso-center in the reconstructed slices inevitably affect the recognition and analysis of the corresponding sample structures in neutron computed tomography(CT). In this work, a ring correction method based on the projection-field(RCP) is proposed, it is a pre-processing method and provides the corrected projection data directly, which is also conducive to efficient data storage and other algorithmic researches. Simulation and physical experiments are performed for verifying the effect of the method, and one of the correction methods based on the imagefield is used for comparison. The results demonstrate that the RCP can correct the ring artifacts well without reducing the image resolution or over-correction.     

Optical color image hiding scheme by using Gerchberg–Saxton algorithm in fractional Fourier domain

We proposed an optical color image hiding algorithm based on Gerchberg–Saxton retrieval algorithm in fractional Fourier domain. The RGB components of the color image are converted into a scrambled image by using 3D Arnold transform before the hiding operation simultaneously and these changed images are regarded as the amplitude of fractional Fourier spectrum. Subsequently the unknown phase functions in fractional Fourier domain are calculated by the retrieval algorithm, in which the host RBG components are the part of amplitude of the input functions. The 3D Arnold transform is performed with different parameters to enhance the security of the hiding and extracting algorithm. Some numerical simulations are made to test the validity and capability of the proposed color hiding encryption algorithm.     

基于同态信号处理的数字全息广义线性重建算法研究

为了提高数字全息图的重建速度和精度,本文提出了一种基于同态信号处理的数字全息广义线性重建算法. 首先利用预放大数字全息显微系统并结合同态信号处理原理进行了理论分析,得到了广义线性重建算法的实现条件及重建步骤,并对该算法的优点进行了分析;然后利用计算机模拟和实验相结合的方法对理论分析进行了验证. 结果表明：数字全息广义线性重建算法不仅可以有效的消除全息图频谱中零级项的干扰,实现高精度再现,而且由于采用一个完整象限的固定区域滤波,避免了常规线性算法的手动滤波操作,极大地提高了重建速度,同时最大限度地保留了原始像中的高频成分,实现全息图的高分辨重建. 关键词： 数字全息显微术 同态信号处理 傅里叶变换 分辨率     

分数傅里叶变换啁啾滤波

针对常规傅里叶变换所不能解决的啁啾噪声滤除问题，利用Wigner分布函数分析分数傅里叶变换的空域和频域特性，提出在分数傅里叶变换域进行啁啾滤波的方法。并将该方法应用到图像处理中，对分数傅里叶变换滤除一维和二维图像的啁啾噪声进行了计算机仿真，获得了满意的效果，结果表明该方法在图像处理中的有效性。     

Image encryption based on double random amplitude coding in random Hartley transform domain

We propose an image encryption scheme based on double random amplitude coding technique by using random Hartley transform, which is defined according to the random Fourier transform. The significant feature of this algorithm is that the encrypted image is real and convenient for storage as well as transfer of the encrypted information. Moreover, the algorithm has enhanced security and the correct information of original image can be well protected under bare decryption, blind decryption and brute force attacks. Numerical simulation results are also presented in support of the proposed scheme.