基于曲波变换的图像融合方法

本文在研究了曲波变换的特性后,提出了一种基于曲波变换的图像融合方法,并分别将由不同传感器获得的不同分辨率的遥感图像和医学图像利用此方法进行了融合.这种方法不仅能够完好地显示了源图像各自的信息,而且能很好地将源图像的细节融合在一起.实验结果表明采用这种方法可以得到更好的融合效果.     

快速离散Curvelet变换域的图像融合

目的单一图像往往难以捕获一个场景下所有的细节信息,针对这一问题,可以通过多传感器或同一传感器的不同方式来获取多幅图像,然后通过图像融合技术将获得的多幅图像进行融合。为了提高图像融合的质量,提出一种基于快速离散Curvelet变换(FDCT)的图像融合新方法。方法不同于以往的方法,提出一组新的融合规则。分别采用基于局部能量和改进拉普拉斯能量和的方法,通过对FDCT分解得到的低频和高频系数进行系数选择,然后对得到的融合系数进行FDCT逆变换重构得到融合图像。结果通过对大量的多模态医学图像、红外可见光图像以及多聚焦图像进行图像融合实验,无论是运用视觉的主观评价,还是均值、标准差、信息熵以及边缘信息保持度等客观评价标准,本文方法都优于传统的基于像素平均、小波变换、FDCT以及双边梯度等融合方法。结论对比现有的方法,本文方法对多模态和多聚焦等形式的图像融合都表现出优越的融合性能。     

基于静态小波变换和2代曲波变换的图像融合算法

提出了一种基于静态小波变换(SWT)和2代曲波(curvelet)变换的图像融合算法.首先将原图像分别进行SWT变换得到高、低频分量.然后,对低频分量采用基于2代曲波变换的方法进行融合,对高频分量基于绝对值最大的方法进行融合.最后进行SWT逆变换得到最终的融合图像.实验结果表明,该算法具有SWT变换和2代曲波变换二者的优点,主客观评价均优于单独SWT变换和单独2代曲波变换融合算法,也优于离散小波变换(DWT)和曲波变换相结合的融合算法.     

基于提升静态小波变换与联合结构组稀疏表示的多聚焦图像融合

为抑制传统小波变换在多聚焦图像融合中产生的伪吉布斯现象,以及克服传统稀疏表示的融合方法容易造成融合图像的纹理与边缘等细节特征趋于平滑的缺陷,提高多聚焦图像融合的效率与质量,采用一种基于提升静态小波变换（LSWT）与联合结构组稀疏表示的图像融合算法。首先对实验图像进行提升静态小波变换,根据分解后得到的低频系数与高频系数各自不同的物理特征,采用不同的融合方式。选择低频系数时,采用基于联合结构组稀疏表示的系数选择方案;选择高频系数时,采用方向区域拉普拉斯能量和（DRSML）与匹配度相结合的系数选择方案。最后经逆变换重构得到最终融合图像。实验结果表明,改进的算法有效地提高了图像的互信息量、平均梯度等指标,完好地保留图像的纹理与边缘等细节信息,融合图像效果更好。     

基于PCNN和最优化评价准则的曲波域图像融合

利用曲波变换能够准确捕获图像高维奇异信息的特点,提出了一种在曲波域中基于脉冲耦合神经网络和最优化评价准则的图像融合方法。该方法用曲波变换对输入图像进行多尺度分解,再利用脉冲耦合神经网络的全局耦合特性对高频子带曲波系数进行选取,定义图像融合的目标函数,根据最优化目标函数确定低频曲波系数的融合权值,进行曲波逆变换得到融合图像。实验结果以及与其他算法的比较分析表明了算法的有效性和优越性。     

基于曲波变换的红外/可见光图像融合

和小波变换相比较,曲波变换能更好地表示图像的边缘信息.在此基础上给出了一种基于曲波变换的图像融合方法,并将其应用于红外和可见光图像融合.首先,对红外图像和可见光图像分别进行曲波变换,得到两幅图像的低频分量和不同尺度的高频分量.在对源图像的各分量融合时,对低频分量采用平均加权进行融合.对高频分量采用取绝对值较大的方法进行融合,得到融合后的低频分量和不同尺度的高频分量,最后对这些融合后的分量进行重构,得到融合图像.仿真结果表明:和基于小波变换的融合算法相比较,该算法较好地保留了源图像的细节信息,提高了融合的效果.     

应用邻域方差加权平均的curvelet变换融合

提出一种基于邻域方差加权平均的多源遥感图像曲波变换融合方法。将低分辨率的多光谱图像和高分辨率的全色图像作曲波变换,融合图像的曲波系数中的低频分量取多光谱图像的低频分量,中高频系数与高频系数采用邻域方差加权平均的方法由两幅图像曲波变换系数共同决定。逆曲波变换得到融合图像。实验表明算法有效提高了图像的清晰度和保持了光谱特性。     

有效的红外与可见光图像融合方法研究*

针对红外图像可视化程度弱、对比度低的问题, 提出一种基于轮廓小波变换和区域能量的红外与可见光图像融合算法。首先进行多尺度小波分解, 然后进行多方向滤波; 引入循环平移方法来消除伪吉布斯失真;采用基于区域的能量融合规则, 重构变换系数得到最终融合结果;最后用信息熵、信噪比等指标来评价融合的性能。实验表明,该方法不论在客观评价还是在主观评价指标上都优于其他融合方法, 提高了融合图像的视觉效果, 可以得到更加清晰的融合图像。     

基于曲波变换的渐变镜头转场检测算法

曲波变换在处理“曲线奇异”时有明显的优势。给出了曲波变换的计算方法、公式和具体步骤。对dissolve渐变转场过程中的各相邻帧进行曲波变换。以曲波变换后高频系数的平方作为图像帧的特征量,计算相邻帧间此特征量的欧氏距离。用大量的高清码流对算法进行了实验。实验结果表明,此算法有较高的查全率和查准率。     

基于小波变换和曲波变换的图像边缘检测新算法

针对图像处理中的边缘检测问题,提出了一种基于小波变换和曲波变换的图像边缘检测新算法。首先对原始图像进行小波变换得到小波边缘图像;然后对原始图像进行曲波变换并使用Canny算子得到曲波边缘图像;最后基于小波变换的窗口内边缘强度自适应融合算法将小波边缘图像和曲波边缘图像进行融合得到最终边缘图像。该方法结合了小波变换描述图像细节特征的优势和曲波变换处理曲线或直线边缘特征的优势,能全面刻画边缘图像的纹理与细节信息,提高了图像清晰度。仿真实例表明了该算法的有效性。     

基于离散曲波变换的图像Hash算法

为了提高图像Hash算法的鲁棒性,提出一种新的基于离散曲波变换的图像Hash算法。该算法首先对图像预处理,再进行基于“打包”的快速离散曲波变换,提取出包含图像主要特征的曲波低频系数和边缘信息较丰富的细节2层系数作为特征向量;然后用Logistic方程对特征向量加密;最后进行量化压缩得到图像Hash序列。实验结果表明,该算法与已有传统算法相比,具有更高的鲁棒性;能有效区分不同图像,具有易碎性;混沌系统的引入使算法具有安全性。     

A statistical and Wiener filtering algorithm based on the curvelet transform for SAR images

Synthetic aperture radar (SAR) images contain many kinds of noise. Speckle noise is multiplicative noise generated by the coherent imaging processes involved in SAR images and brings a great hindrance to the interpretation and application of SAR images, so it is considered the first major kind of noise in SAR images. SAR images also contain other incoherent additive noises generated by other factors, such as Gaussian noise, which are all considered the second major kind of noise. In order to reduce the impact of noise as much as possible, after an in-depth study of SAR imaging and noise-generating mechanism, curvelet transform principle, and Wiener filtering characteristic, a novel filtering method, here called the statistical and Wiener based on curvelet transform (SWCT) method is proposed. The SWCT algorithm processes two different kinds noise based on their properties. Specifically, it establishes a two-tiered filtering framework. For the first kind of noise, the algorithm uses the curvelet transform to decompose the SAR image and uses the statistical characteristics of the SAR image to generate an adaptive filtering threshold of the coefficients of decomposition to recover the original image. Then it filters every sub-band image at each decomposed scale and performs the inverse curvelet transform. The second kind of noise is directly filtered using the Wiener filter in the SWCT algorithm. Using the two-tiered filtering model and fully exploiting statistical characteristics, the SWCT algorithm not only reduces the amount of coherent speckle noise and incoherent noise effectively but also retains the edges and geometric details of the original SAR image. This is very good for target detection, classification, and recognition. Qualitative and quantitative tests were performed using simulated speckle noise, Gaussian noise, and real SAR images. The proposed SWCT algorithm was found to remove noise effectively and the performance of the algorithm was tested and compared to the mean filter, enhanced gamma-MAP (maximum a posterior probability) filter, wavelet transform filter, Wiener filter, and curvelet transform filter. Experiments carried out on real SAR images confirmed that the new method has a good filtering effect and can be used on different SAR images.     

基于快速离散曲波变换的图像去噪算法

Curvelet变换可以更好地表示曲线奇异函数的异向性及图像边缘,因此更适合于多尺度图像去噪。针对传统阈值法存在的不足,在分析wrapping方法的快速离散曲波变换基础上,提出结合Cycle Spinning循环平移方法的菱形块阈值规则去噪法,并自适应地对不同的Curvelet子块进行阈值化。该方法可以消除由于Curvelet变换缺乏平移不变性而产生的图像失真,并且更好地利用曲波系数的相关性。实验结果表明,该方法与传统的小波去噪、曲波硬阈值去噪、曲波软阈值去噪、曲波软硬阈值折中法去噪相比,使得去噪图像的峰值信噪比更高,视觉效果更好。     

基于Curvelet变换多聚焦图像融合

探讨了可见光多聚焦图像的融合问题,提出了一种基于Curvelet变换的图像融合算法。针对Curvelet分解的不同频率域,分别讨论了低频系数和高频系数的选择原则。在选择高频系数时,通过引入Wronskian行列式从而定义局部区域线性相关度,并根据该线性相关度进行高频系数的选择;在选择低频系数时,直接采用平均法。实验结果表明：文中所给出的融合算法能够得到多个目标聚焦都很清晰的图像。     

基于曲波变换的红外与可见光图像融合算法

针对小波不能有效捕捉图像轮廓的不足,提出一种基于第2代曲波变换的图像融合算法。近似分量计算采用加权平均融合规则,细节分量计算采用像素级多分辨率融合扩展框架和对比敏感带通函数融合规则。实验结果表明,该算法在保留源图像边缘轮廓、抑制噪声方面均优于小波,融合图像更符合人眼视觉特性。     

一种自适应阈值曲波图像去噪算法

利用曲波变换进行图像去噪能取得较好的效果,但是现有的曲波去噪没有充分利用图像曲波系数的特点,容易过分扼杀图像的细节信息.本文提出了一种基于阈值自适应的曲波图像去噪算法,利用图像经过曲波变换后的能量分布特性选取阈值,以更好地保护图像细节.实验结果表明,该算法可以将每一尺度上的信号与噪声在最大程度上分离,有效去除了高斯白噪声,进一步提高了峰值信噪比,更好地实现了去除噪声与保护图像细节之间的平衡.     

一种多聚焦图像融合方法

提出一种基于小波变换的多聚焦图像融合方法．该方法首先通过小波变换得到源图像的小波系数，然后对低频和高频分量采用不同的融合规则和融合算子构造融合图像的小波系数，最后基于一致性检测由高低频融合系数得到最终的融合结果．用两组源图像数据验证所提出的融合算法，并与其他融合算法进行比较，仿真结果表明该算法在多聚焦图像融合中优于其他方法．     

A New Multiwavelet-Based Approach to Image Fusion

Image fusion refers to the techniques that integrate complementary information from multiple image sensor data such that the new images are more suitable for the purpose of human visual perception and the compute-processing tasks. In this paper, a new image fusion algorithm based on multiwavelet transform to fuse multisensor images is presented. The detailed discussions in the paper are focused on the two-wavelet and two-scaling function multiwavelets. Multiwavelets are extensions from scalar wavelet, and have several unique advantages in comparison with scalar wavelets, so that multiwavelet is employed to decompose and reconstruct images in this algorithm. In this paper, the image fusion is performed at the pixel level, other types of image fusion schemes, such as feature or decision fusion, are not considered. In this fusion algorithm, a feature-based fusion rule is used to combine original subimages and to form a pyramid for the fused image. When images are merged in multiwavelet space, different frequency ranges are processed differently. It can merge information from original images adequately and improve abilities of information analysis and feature extraction. Extensive experiments including the fusion of registered multiband SPOT multispectral XS1\XS3 images, multifocus digital camera images, multisensor of VIS\IR images, and medical CT\MRI images are presented in this paper. In this paper, mutual information is employed as a means of objective assessing image fusion performance. The experiment results show that this fusion algorithm, based on multiwavelet transform, is an effective approach in image fusion area.     

A general framework for image fusion based on multi-scale transform and sparse representation

In image fusion literature, multi-scale transform (MST) and sparse representation (SR) are two most widely used signal/image representation theories. This paper presents a general image fusion framework by combining MST and SR to simultaneously overcome the inherent defects of both the MST- and SR-based fusion methods. In our fusion framework, the MST is firstly performed on each of the pre-registered source images to obtain their low-pass and high-pass coefficients. Then, the low-pass bands are merged with a SR-based fusion approach while the high-pass bands are fused using the absolute values of coefficients as activity level measurement. The fused image is finally obtained by performing the inverse MST on the merged coefficients. The advantages of the proposed fusion framework over individual MST- or SR-based method are first exhibited in detail from a theoretical point of view, and then experimentally verified with multi-focus, visible-infrared and medical image fusion. In particular, six popular multi-scale transforms, which are Laplacian pyramid (LP), ratio of low-pass pyramid (RP), discrete wavelet transform (DWT), dual-tree complex wavelet transform (DTCWT), curvelet transform (CVT) and nonsubsampled contourlet transform (NSCT), with different decomposition levels ranging from one to four are tested in our experiments. By comparing the fused results subjectively and objectively, we give the best-performed fusion method under the proposed framework for each category of image fusion. The effect of the sliding window’s step length is also investigated. Furthermore, experimental results demonstrate that the proposed fusion framework can obtain state-of-the-art performance, especially for the fusion of multimodal images.