Signal and image approximation using interval wavelet transform.

In signal approximation, classical wavelet synthesis are known to produce Gibbs-like phenomenon around discontinuities when wavelet coefficients in the cone of influence of the discontinuities are quantized. By analyzing a function in a piecewise manner, filtering across discontinuities can be avoided. Using this principle, the interval wavelet transform can generate sparser representations in the vicinity of discontinuities than classical wavelet transforms. This work introduces two new constructions of interval wavelets and shows how they can be used for image compression and upscaling.     

基于小波零交叉基元的多分辨率图像匹配方法

文中将小波变换运用到立体视觉的图像匹配中,选取合适的二进小波基,以二进小波变换的多尺度零交叉为匹配基元,较多地利用了图像的结构特征。在匹配过程中采用由粗到精的层决匹配策略和严格的匹配约束,减小了对应点搜索范围,并从局部和整体两个角度进行匹配后的质量控制。实验结果证明,该方法具有较高的匹配精确度和较快的匹配速度,并且算法稳定。     

Efficient blind image restoration using discrete periodic Radon transform

Restoring an image from its convolution with an unknown blur function is a well-known ill-posed problem in image processing. Many approaches have been proposed to solve the problem and they have shown to have good performance in identifying the blur function and restoring the original image. However, in actual implementation, various problems incurred due to the large data size and long computational time of these approaches are undesirable even with the current computing machines. In this paper, an efficient algorithm is proposed for blind image restoration based on the discrete periodic Radon transform (DPRT). With DPRT, the original two-dimensional blind image restoration problem is converted into one-dimensional ones, which greatly reduces the memory size and computational time required. Experimental results show that the resulting approach is faster in almost an order of magnitude as compared with the traditional approach, while the quality of the restored image is similar.     

A modified statistical approach for image fusion using wavelet transform

The fusion of images is an important technique within many disparate fields such as remote sensing, robotics and medical applications. For image fusion, selecting the required region from input images is a vital task. Recently, wavelet-based fusion techniques have been effectively used to integrate the perceptually important information generated by different imaging systems about the same scene. In this paper, a modified wavelet-based region level fusion algorithm for multi-spectral and multi-focus images is discussed. Here, the low frequency sub-bands are combined, not averaged, based on the edge information present in the high frequency sub-bands, so that the blur in fused image can be eliminated. The absolute mean and standard deviation of each image patch over 3 × 3 window in the high-frequency sub-bands are computed as activity measurement and are used to integrate the approximation band. The performance of the proposed algorithm is evaluated using the entropy, fusion symmetry and peak signal-to-noise ratio and is compared with recently published results. The experimental result proves that the proposed algorithm performs better in many applications.     

一种提升格式的非线性插值小波图像编码方法

在Sweldens等人提出的提升格式(Lifting Scheme)的基础上,提出了一种非线性的避免边缘的小波变换方法.针对信号的局部特性选择提升格式中的预测环节,同时将如何选择预测环节的信息保存在小波系数中,避免了额外的存储空间.对于保存选择信息的小波系数做简单的可逆变换,使其不会因为量化和压缩编码等原因而丢失,从而保证逆变换的稳定性.     

基于小波变换的因特网图像传输

基于因特网的图像传输,使用的协议通常是无损协议TCP/IP。无损协议对待丢失的数据包要求重传,这大大增加了传输时间。因此,提出了一种基于小波变换的因特网图像传输方案,能大大缩短通过因特网的图像传输时间。     

Curved wavelet transform for image coding.

The conventional two-dimensional wavelet transform used in existing image coders is usually performed through one-dimensional (1-D) filtering in the vertical and horizontal directions, which cannot efficiently represent edges and lines in images. The curved wavelet transform presented in this paper is carried out by applying 1-D filters along curves, rather than being restricted to vertical and horizontal straight lines. The curves are determined based on image content and are usually parallel to edges and lines in the image to be coded. The pixels along these curves can be well represented by a small number of wavelet coefficients. The curved wavelet transform is used to construct a new image coder. The code-stream syntax of the new coder is the same as that of JPEG2000, except that a new marker segment is added to the tile headers. Results of image coding and subjective quality assessment show that the new image coder performs better than, or as well as, JPEG2000. It is particularly efficient for images that contain sharp edges and can provide a PSNR gain of up to 1.67 dB for natural images compared with JPEG2000.     

基于小波变换的图像重构算法研究

小波变换是当前图像处理、应用数学和工程学科中一个迅速发展的领域,它具有多分辨率分析的特性,同时又在变换域有表征信号局部特征的能力,能有效地从信号中提取信息。本课题以MATLAB作为平台,研究小波变换的mallet算法,对一维离散采样信号进行滤波和重采样,并扩展到多维信号中。根据算法结果,对图像进行小波分解,重构其近似信...     

离散小波变换在医学图像中的应用

本文以三维医学体数据作为研究对象,充分利用离散小波变换,对其进行多分辨率分解,把三维医学体数据分解成三个不同方向上的子医学体数据。实验结果表明,三维医学体数据经过离散小波变换后被分割成八个子频带,其主要能量和特征集中在低频子带系数中,可以用来提取特征向量构造零水印。     

Synthetic aperture radar image compression using tree-structured edge-directed orthogonal wavelet packet transform

Currently, wavelet-based coding algorithms are popular for synthetic aperture radar (SAR) image compression, which is very important for reducing the cost of data storage and transmission in relatively slow channels. However, standard wavelet transform is limited by spatial isotropy of its basis functions that is not completely adapted to represent image entities like edges or textures, which means wavelet-based coding algorithms are suboptimal to image compression. In this paper, a novel tree-structured edge-directed orthogonal wavelet packet transform is proposed for SAR image compression. Inspired by the intrinsic geometric structure of images, the new transform improves the performance of standard wavelet by filtering along the regular direction first and then along the orthogonal direction with directional lifting structure. The cost function of best basis selection is designed by textural and directional information for tree-structured edge-directed orthogonal wavelet packet transform. The new transform including speckle reduction can be used to construct SAR image coder with the embedded block coding with optimal truncation for transform coefficients, and arithmetic coding for additional information. The experimental results show that the proposed approach outperforms JPEG2000 and Fast wavelet packet (FWP), both visually and item of PSNR values.     

Predictive subband image coding with wavelet transform

Wavelet transform can decompose images into various multiresolution subbands. In these subbands the correlation exists. A novel technique for image coding by taking advantage of the correlation is addressed. It is based on predictive edge detection from the LL band of the lowest resolution level to predict the edge in the LH, HL and HH bands in the higher resolution level. If the coefficient is predicted as an edge it is preserved; otherwise, it is discarded. In the decoder, the location of the preserved coefficients can also be found as in the encoder. Therefore, no overhead is needed. Instead of complex vector quantization, which is commonly used in subband image coding for high compression ratio, simple scalar quantization is used to code the remaining coefficients and achieves very good results.     

小波变换在图像压缩过程中的作用

介绍图像压缩原理,分析小波变换用于图像压缩的一般步骤,基于多分辨分析的理论基础,重点与详细的说明了小波变换在图像压缩中的数学计算过程所起到的作用,并用MATLAB给予模拟演示.     

Image coding using wavelet transform

A scheme for image compression that takes into account psychovisual features both in the space and frequency domains is proposed. This method involves two steps. First, a wavelet transform used in order to obtain a set of biorthogonal subclasses of images: the original image is decomposed at different scales using a pyramidal algorithm architecture. The decomposition is along the vertical and horizontal directions and maintains constant the number of pixels required to describe the image. Second, according to Shannon's rate distortion theory, the wavelet coefficients are vector quantized using a multiresolution codebook. To encode the wavelet coefficients, a noise shaping bit allocation procedure which assumes that details at high resolution are less visible to the human eye is proposed. In order to allow the receiver to recognize a picture as quickly as possible at minimum cost, a progressive transmission scheme is presented. It is shown that the wavelet transform is particularly well adapted to progressive transmission.     

Direction-adaptive discrete wavelet transform for image compression.

We propose a direction-adaptive DWT (DA-DWT) that locally adapts the filtering directions to image content based on directional lifting. With the adaptive transform, energy compaction is improved for sharp image features. A mathematical analysis based on an anisotropic statistical image model is presented to quantify the theoretical gain achieved by adapting the filtering directions. The analysis indicates that the proposed DA-DWT is more effective than other lifting-based approaches. Experimental results report a gain of up to 2.5 dB in PSNR over the conventional DWT for typical test images. Subjectively, the reconstruction from the DA-DWT better represents the structure in the image and is visually more pleasing.     

基于小波的图像超分辨率重建算法研究

在遥感图像、医学图像等领域，最初获得的图像分辨率往往达不到期望的水平。图像的超分辨率重建就是在低分辨率图像基础上重建出高分辨率图像的技术。针对已有重建算法中的不足，给出一种将高频能量适当降低的SHR重建算法；并进而针对高频细节不能高质量重建的问题，利用小波反变换对高频信息进行重建，提出了一种基于小波高频重建的图像超分辨率重建算法——SHW算法。实验证明，这两种算法的性能比已有图像超分辨率重建算法均有不同程度提高。     

Medical image enhancement algorithm based on wavelet transform

Low contrast and poor quality are main problems in the production of medical images. By using the wavelet transform and Haar transform, a novel image enhancement approach is proposed. First, a medical image was decomposed with wavelet transform. Secondly, all high-frequency sub-images were decomposed with Haar transform. Thirdly, noise in the frequency field was reduced by the soft-threshold method. Fourthly, high-frequency coefficients were enhanced by different weight values in different sub-images. Then, the enhanced image was obtained through the inverse wavelet transform and inverse Haar transform. Lastly, the image's histogram was stretched by nonlinear histogram equalisation. Experiments showed that this method can not only enhance an image?s details but can also preserve its edge features effectively.     

基于小波变换的改进影像金字塔模型

随着遥感影像数据量不断增长,为了更加高效地组织与管理海量的遥感影像,研究并提出了改进的基于小波分解的影像金字塔构建方法。利用多分辨率分析和图像的小波分解与重构算法,参考影像金字塔构建的一般方法,将图像小波分解的不同级系数量化、编码后,分别存储于金字塔的不同层中。该构建方法可以有效地降低金字塔各层之间的数据冗余,减少总数据量和浏览时的数据流量,并能更好地支持嵌入式码流和渐进式传输。     

基于小波变换的加权图像融合方法

提出了一种基于小波变换的多光谱图像与高空间分辨率图像融合方法。该方法通过局部方差准则利用加权平均将高空间分辨率图像和多光谱图像经小波分解的低频分量进行融合,然后将融合的低频分量和高空间分辨率图像的细节分量结合进行小波反演变换得到融合图像。通过和WT方法的融合结果进行对比评价,表明了该方法在提高多光谱图像的空间细节表现能力和保持光谱信息上都有很好的效果。     

用小波变换抑制SAR图像中的斑点噪声

抑制合成孔径雷达图像中的斑点噪声一直是处理图像并得到准确图像信息的难点,提出了一种基于小波变换抑制合成孔径雷达（SAR）图像中的斑点噪声的方法,对原有的小波变换方法作了改进,能更好地保留图像的边缘信息,并能简化计算量。在仿真实验中使用了合成的模拟图像和真实的合成孔径雷图像,并与以往的小波去噪滤波方法以及一些经典的斑点噪声滤波方法（包括中值滤波,Lee滤波,Frost滤波）进行比较,在综合考虑了滤波算法在均匀区域对斑点噪声的抑制能力以及保留边缘信息能力的情况下,提出的算法有更好的效果。     

Color monogenic wavelet transform for multichannel image denoising

This paper proposes an effective color image denoising algorithm using the combination color monogenic wavelet transform (CMWT) with a trivariate shrinkage filter. The CMWT coefficients are one order of magnitude with three phases: two phases encode the local color information while the third contains geometric information relating to texture within the color image. In the CMWT domain, a trivariate Gaussian distribution is applied to capture statistical dependencies between the CMWT coefficients, and then a trivariate shrinkage filter is derived using a maximum a posteriori estimator. The performance of the proposed algorithm is experimentally verified using a variety of color test images with a range of noise levels in terms of PSNR and visual quality. The experimental results demonstrate that the proposed algorithm is equal to or better than current state-of-the-art algorithms in both visual and quantitative performance.