小波双线性插值搜索算法及其在光学遥感图像中的应用

详细分析了在小波双线性插值中高频外推阈值门限与峰值信噪比的变化关系,提出了基于峰值信噪比最大的小波双线性插值搜索算法。提出的算法能够自动搜索到峰值信噪比最大的高频外推最佳阈值门限,实现了在不破坏光学遥感图像原始信息的情况下,提高了图像的空间分辨率,有利于对图像的细节信息进行观察分析。实验结果表明:该算法能够得到比双线性插值和全小波插值更高的峰值信噪比、熵值和更好的图像细节效果,是一种适合提高光学遥感图像分辨率的有效算法。     

基于小波双三次插值提高光学遥感图像空间分辨率的研究

为了尽可能的保持光学遥感图像的原始信息,提高图像的空间分辨率,有利于对图像的细节信息进行观察分析,本文提出了小波双三次插值方法,并将其应用于提高光学遥感图像空间分辨率.实验结果表明,该算法得到了比全小波插值和小波双线性插值更高的峰值信噪比和更好的图像细节效果,是一种适合提高光学遥感图像分辨率的有效算法.     

基于小波变换和奇异值分解的图像水印算法研究

利用小波变换频谱特性和图像奇异值分解特征,提出了一种结合人眼对比感知特性的图像水印算法。并通过结合人眼视觉特性,将置乱的水印以一定的强度嵌入到图像的奇异值矩阵中,采用其逆过程提取水印,通过仿真进行了验证。对其实施了压缩、剪切、高斯噪声和中值滤波攻击测试,与前人提出的8种水印算法的抗攻击性能进行对比分析。结果表明,在质量因子为20%的较强压缩攻击下,提取水印的NC值仍能达到0.8359,含水印图的PSNR和SSIM达到25.0908dB和0.8451,且比8种水印算法具有更好的鲁棒性。综合表明,提出的算法有效地解决了水印嵌入过程中鲁棒性、视觉透明性与水印嵌入量之间的平衡问题。     

双正交小波插值的CCD图像超分辨恢复

给出了一种构造双正交小波滤波器的设计方法,应用该方法得到的双正交小波对低分辨率图像进行小波分解。对分解后的图像结构进行分析,提出双三次插值与方向插值相结合的方法,对分解后图像插值。对插值后图像小波逆变换,得到超分辨率图像。应用于CCD图像,获得了比双线性插值高的峰值信噪比(25.3090dB),图像细节信息增强了。实验结果表明,算法应用于CCD图像不仅提高了图像的空间分辨率,同时也提高了图像的峰值信噪比,还比较好地保留了图像的边缘信息,且经过该方法恢复后的图像更适合人眼观察,细节丰富,更加清晰,畸变小,是一种提高CCD图像空间分辨率的有效方法。     

一种基于小波变换的红外图像放大算法

图像放大技术的关键在于使放大后的图像尽可能地保持原始图像的清晰度。对于红外图像而言,传统的内插法存在着一定的缺陷。提出了一种基于小波变换的图像放大新算法,该算法对原始图像先进行小波变换获得高频系数,然后运用牛顿插值算法放大高频系数,以此作为放大图像的高频成份,而将原始图像作为低频成份,最后进行小波逆变换,重构出放大图像。实验证明该方法在图像细节方面具有很好的放大效果。     

基于峰值信噪比和小波方向特性的图像奇异值去噪技术

提出一种利用小波变换子图像不同的方向特性和峰值信噪比进行奇异值分解的图像去噪算法。由于图像经过小波变换后,低频子图像集中了原图像的大部分能量噪声,故仅作简单维纳滤波;而噪声则主要集中在小波域中的三个不同方向的高频子图中,且系数较小,因此可以利用奇异值分解进行去噪处理,即用较大的奇异值和对应的特征向量重构出去噪图像,然而由于奇异值分解固有的行列方向性,对于高频对角线子图重构出的图像去噪效果不理想,故采取旋转至行列方向后再进行常用的奇异值滤波;最后将去噪后的低频和高频子图进行小波反变换重构出最终的去噪图像,其中重构所需的奇异值个数由图像的峰值信噪比确定。 实验结果表明,该方法在有效去噪的同时较好的保留了原有的高频细节信息。     

基于差分曲率的各项异性扩散小波图像降噪算法研究

在 γ 放射性内污染修正均匀冗余阵列编码成像中,为了进一步减少使用最大似然估计(MaximumLikelihood Expectation Maximisation,MLEM)算法进行编码图像重建的伪影,并且提高重建的效率,本文提出了基于差分曲率的各项异性扩散小波图像降噪(Anisotropic Diffusion W...     

光学相干层析图像的小波去噪方法研究

光学相下层析成像过程中产生的噪声恶化了其成像质量.提高图像的信噪比一直是光学相干层析系统研制中一个焦点问题.根据光学相干层析系统采集的原始图像的信号和噪声分布的特点,对双变量收缩的小波去噪方法进行了改进,增加噪声系数比较多的子带的死亡地带半径来去除图像的噪声.利用对比度噪声比率、信噪比和边缘保持参数等评价指标来评价图像的改善效果.结果表明该方法能有效地去除噪声并可保留光学相干层析原始图像的边缘特征.     

静电磁场不规则区域问题的小波插值Galerkin算法

讨论了用小波插值Galerkin方法(WIGM)求解椭圆型偏微分方程,特别是求解区域不规则时的问题.在归纳出WIGM一般形式的基础上,推导出该方法在Sobolev空间范数下的误差界限为C2-m.提出了一种解决不规则区域中静电磁场场分析问题的数值算法,其中选用对称插值尺度函数为基函数,它的对称性及其与平均插值尺度函数的关系可以在一定程度上降低数值求解的计算量.最后通过计算实例说明该算法的有效性.     

基于小波阈值函数与改进中值滤波融合的抑制图像混合噪声算法

针对图像处理中存在椒盐噪声和高斯噪声的问题,提出了一种新的小波阈值函数与改进中值滤波融合的噪声抑制算法。依据椒盐噪声与其周围邻域像素灰度值存在的明显差异,估计椒盐噪声,采取3×3模板进行反复迭代滤除椒盐噪声。对高斯噪声,利用极限思想提出了一种新的小波阈值函数,并引入三个控制变量,通过调节控制变量使所构成的小波系数在一定阈值范围内无限接近原小波系数。实验结果表明,提高了峰值信噪比,减小了均方误差,较好的保留了图像细节。     

Improved multi-scale wavelet in pantograph slide edge detection

The mainstream methods of pantograph slide edge detection are based on canny operator and multi-scale wavelet. The former has good single edge response but the edge is fractured, the latter performs good edge continuity but contains excessive edge points. This paper combines the advantages of both methods and proposes as an improved multi-scale wavelet edge detection method based on canny criteria. Firstly we filtered the pantograph image with edge-preserving symmetric near neighbor filter. Secondly calculated the Gaussian wavelet modulus and arguments at all levels of scale, then suppressed the non-maxima value of modulus along the corresponding arguments. At last, we integrated the modulus drawings at all levels of scale, and connected edge with applicable dual-threshold. Experiments results show that the improved algorithm has both satisfactory performances in single edge response and edge continuity, it markedly improves the efficiency of edge detection algorithm. Peak signal to noise ratio (PSNR) analysis finds that the improved algorithm exceeds canny operator and traditional multi-scale wavelet edge detection. Moreover, it has higher positioning accuracy, clearer details and better noise performance.     

一种减小静止图像压缩效应的后处理算法

提出了一种静止图像压缩的后处理算法.执行了基于Contourlet变换的图像插值迭代方法来恢复图像的高频通带信息,然后该信息和解压图像的高频信息相融合以进一步保护重要的小波系数.在低码率情况下,该算法有助于减小压缩效应并且提高解压图像沿边缘的正则性.在JPEG2 000和SPIHT压缩系统中证实了该方法的性能.仅仅通过一次迭代,后处理图像的峰值信噪比相比于解压图像可提高0.05~0.2 dB.当迭代次数增加时,振铃效应将进一步降低.     

Real-time optical reconstruction of the diffused 3D object using phase information calculated by Continuous Wavelet Transform

We propose the real time optical reconstruction of a three-dimensional (3D) object from a digitally recorded hologram. Phase distribution of the recorded hologram is numerically calculated by 1-dimensional Continuous Wavelet Transform (1D-CWT) for digital reconstruction with phase only information. Also, the phase distribution of 1D-CWT transferred to the spatial light modulator (SLM) is used to obtain optically reconstructed image. It is observed that an efficient real-time analysis can be achieved, if phase of 1D-CWT is used. In the same time, optically reconstructed 3D objects obtained by only phase information are about three times brighter than bleached hologram intensity's. So the minimum power loss can be obtained. Numerical and experimental results are presented.     

A novel multi-scale segmentation algorithm for high resolution remote sensing images based on wavelet transform and improved JSEG algorithm

Considering the difficulties in image segmentation caused by the complexity of diverse ecological environments and various artificial targets in high resolution remote sensing images, especially in city scene, and in order to overcome the limitations existing in the traditional segmentation algorithm, JSEG (J-Segmentation), for high resolution remote sensing image segmentation and to further improve the segmentation accuracy, WJSEG (Wavelet-JSEG), a novel multi-scale segmentation algorithm based on wavelet transform, is proposed, which is an improved JSEG algorithm. WJSEG is an improved form of JSEG in relation to three aspects, including color quantization, multi-scale segmentation and region merging by introducing the multi-scale analysis tool based on wavelet transform. Experiments have been conducted on high resolution SPOT 5 pan-sharpened multispectral image and IKONOS panchromatic image. These experimental results were compared with those gained by the traditional JSEG algorithm and the famous commercial software named eCognition, which validated the effectiveness and reliability of the proposed WJSEG algorithm.     

小波分析及其在光谱分析中的应用

近年来,一种被称为小波变换的数学理论和方法成为众多学科关注的焦点,在分析化学领域中,小波分析也逐渐应用于去噪与平滑,数据压缩等方面,本文介绍了小波分析理论并对其光谱分析中的应用进行了综述。     

基于快速小波分形插值的声纳图像缩放算法

本文讨论主动图像声纳的图像结果显示问题,主要介绍一种基于快速小波分形插值的实时声纳图像缩放算法。并通过对合成孔径声纳图像数据进行算法比较,发现此算法比通用的图像插值算法,如双线性插值和双三次样条插值等,具有更好的性能。由于可以分块并行实现,因此本算法易于应用于实时图像声纳工程中。     

Fourier-inversion and wavelet-transform methods applied to X-ray reflectometry and HRXRD profiles from complex thin-layered heterostructures

We show that X-ray scattering techniques can be used for the assessment of individual layer thicknesses inside complicated semi-conductor heterostructures dedicated to the opto-electronic domain. To this end, we propose methods to overcome two main drawbacks coming from: (1) the complexity of the X-ray profiles and, hence the difficulty to use model-dependent tools such as fitting procedures and (2) large dynamics in intensity due to numerous high diffraction superlattice peaks from superlattices which limit the use of the model-independent Fourier-inversion method.We demonstrate first the reliability of the Fourier-inversion method applied to high-resolution X-ray diffraction profiles curve from quantum well infrared photodetectors heterostructures, complementary to the model-dependent fitting tools. Then, a wavelet-transform-based procedure has been successfully used on X-ray reflectometry profiles containing intense SL Bragg peaks.     

Generalized wavelet transform based on the convolution operator in the linear canonical transform domain

The wavelet transform (WT) and linear canonical transform (LCT) have been shown to be powerful tool for optics and signal processing. In this paper, firstly, we introduce a novel time-frequency transformation tool coined the generalized wavelet transform (GWT), based on the idea of the LCT and WT. Then, we derive some fundamental results of this transform, including its basis properties, inner product theorem and convolution theorem, inverse formula and admissibility condition. Further, we also discuss the time-fractional-frequency resolution of the GWT. The GWT is capable of representing signals in the time-fractional-frequency plane. Last, some potential applications of the GWT are also presented to show the advantage of the theory. The GWT can circumvent the limitations of the WT and the LCT.