离散余弦变换和全息技术相融合的图像压缩感知重构

为了获得理想的图像重构效果,提出一种基于离散余弦变换和全息技术相融合的图像重构算法。首先采用离散余弦变换对图像进行分解保留少数的低频分量,从而构建压缩感知的稀疏基加快重构速度,然后采用全息技术对图像重构结果进行处理,提高图像重构效果,最后采用仿真实验测试算法的性能。实验结果表明,相对于当前经典图像重构算法,本文算法不仅提高了图像重构质量,而且加快了图像重构速度,具有较好的实际应用价值。     

On the discrete cosine transform computation

A generalized signal flow graph for the forward and inverse discrete cosine transform (DCT) based on the Hou's recursive algorithm is described. The regular structure of the generalized signal flow graph enables to realize the DCT and inverse DCT computation for any given N = 2^m, m > 0, and is effectively implementable on a VLSI chip. Computer program for the DCT and inverse DCT computation is also presented.     

基于矢量分解和相位截取Gyrator变换的图像加密

为了提高光学图像加密系统的安全性,采用了矢量分解和相位截取Gyrator变换进行图像加密。原始图像和随机相位函数叠加后做Gyrator变换,矢量分解将Gyrator变换域信息分解为一个随机相位函数和一个复函数。随机相位函数和复函数分别做不同变换角度的Gyrator变换后截取相位得到一个公钥和加密图像,截取振幅得到两个非对称相位密钥。进行了理论分析和数值验证,同时,设计了解密光学装置。结果表示:两个非对称相位密钥做为私钥,三个Gyrator变换角度做为额外密钥,这对增强系统的安全性是有帮助的。     

利用离散余弦变换的语音信号压缩方案

利用离散余弦变换后的语音信号能量主要集中在低频段的特点以及语音信号的短时平稳性，研究三种基于一维离散余弦变换的语音压缩方案。Matlab仿真结果表明三种方案的数据压缩率高，重建语音信号具有艮好的清晰度和自然度。     

一种基于分数傅立叶变换的图像加密技术

本文基于分数傅立叶变换的多样性,通过不同级次的分数傅立叶变换与谱变换相结合,提出了一种新的光学图像加密算法。经计算机模拟验证,此算法确实可行可靠。     

A new optimal digital halftoning technique based on the discrete cosine transform

Digital halftoning is a technique to display a gray-level image with a bilevel device. Conventionally, most halftoning techniques are done in the spatial domain. A new halftoning technique based on the discrete cosine transform is proposed. The method chooses an optimal bilevel image to display the original gray-level image and minimize the weighted mean square error based on the discrete cosine transform domain. The simulation results indicate that our algorithm can produce very good halftoned images without false contours.     

Patch based image denoising using the finite ridgelet transform for less artifacts

Patch based denoising methods have proved to lead to state-of-the-art results. However, in contrast with intensive pursuing of higher peak signal to noise ratio (PSNR), less attention is paid to visual quality improvement of denoised images. In this paper, we first compare the denoising performance in edge and smooth regions. Results reveal that edge regions are the main source for potential performance improvement. This motivates us to investigate the use of the finite ridgelet transform as a local transform for better preservation of directional singularities. A two stage denoising algorithm is then proposed to improve the representation of detail structures. Experimental results in denoising images which only contain white noise show that the proposed algorithm consistently outperforms other methods in terms of PSNR and Structural SIMilarity index. Denoised images by the proposed method also demonstrate good visual quality with the least artifacts and fake structures in experiments on natural images.     

基于Shear变换的彩色地形图混沌加密算法

针对目前研究地形图图像加密算法较少,以及现有图像加密算法易被破解的问题,提出基于Shear变换的彩色地形图混沌加密算法。该算法充分利用了Shear变换的多方向性,能够很好地对地形图的线划要素信息进行置乱的特点,以及Lorenz混沌系统具有极强初值敏感性和更大的密匙空间和安全性的特点。通过对彩色地形图的加密和解密实验,以及抗攻击性能对比实验,表明使用该算法加密后的彩色地形图具有更高的安全性,并且载体图像具有较高的抗攻击性能。     

基于图像置乱技术融合FRFT的光学图像加密

针对二维图像加密系统的安全性问题,本文提出一种融合分数傅里叶变换和图像置换技术的光学图像加密方案。首先,使用jigsaw变换算法将原始图像分解成若干子图,并随机平移子图;然后,利用Arnold变换对图像像素进行置乱;最后,采用分数傅里叶变换加密置乱图像,并迭代重复这些过程。将jigsaw排列指标、Arnold频率和分数傅里叶阶等参数组成一个密钥空间,通过仿真实验在光学实现方面评估算法性能。实验结果表明,本文提出的方案具有很好的灵活性和鲁棒性。     

基于分数傅立叶变换和相位恢复算法的彩色图像加密

提出一种基于分数傅立叶变换和相位恢复算法的彩色图像加密技术。加密时把待加密彩色图像分解为红（R）、绿（G）、蓝（B）三个分量,并构成联合图,然后将联合图迭代编码到两块相位板中,在迭代过程中,同时改变两块相位板。解密时,只需要将编码得到的两块相位板匹配起来放在正确的位置,就可以恢复出高质量的彩色图像。模拟实验表明,该算法收敛速度快,系统安全性能高,并且可以光学实现。     

The fractional Fourier transform over finite fields

The central contribution of this paper is the definition of the fractional Fourier transform over finite fields (GFrFT). In order to introduce the GFrFT, concepts related to trigonometry in finite fields are reviewed and some new ideas put forward. In particular, graphic representations of elements in a finite field are suggested and analogies with real and complex numbers are discussed. A modified version of the finite field Fourier transform is given and its eigenstructure is analyzed. This allows us to develop GFrFT theory and investigate its main characteristics. Some illustrative examples are also given throughout the paper.     

基于离散余弦变换和主成分分析的光照条件人脸识别

在光照变化条件下,人脸识别的正确率急剧下降,为了解决该难题,提出了一种离散余弦变换和主成分分析相融合的光照变化条件人脸识别方法.首先对人脸图像进行分块,并采用离散余弦变换对每一个子块提取DCT系数,然后采用主成分分析提取人脸特征,并采用深度学习算法建立人脸识别的分类器,最后采用ORL和Yale B人脸库进行仿真实验,测试其有效性和优越性.实验结果表明,相比其它光照人脸识别方法,本文方法提高了光照人脸图像的识别率,消除了光照变化的不利影响,具有较强的鲁棒性.     

基于小波多分辨分析的图像融合方法

图像融合的目的是把来自多传感器数据的互补信息合并形成一幅新的图像,以便更好地进行监视和侦察之类的视觉感知[1,2]。在阐述了小波变换多分辨分析的基本原理及其特点的基础上,提出了基于小波多分辨分析的图像融合的新方法。实验结果表明,该方法效果良好,可广泛用于各研究领域。     

Image compressed sensing based on wavelet transform in contourlet domain

Compressed sensing (CS) has been widely concerned and sparsity of a signal plays a crucial role in CS to exactly recover signals. Contourlet transform provides sparse representations for images, so an algorithm of CS reconstruction based on contourlet is considered. Meanwhile, taking into account the computation and the storage of large random measurement matrices in the CS framework, we are trying to introduce the wavelet transform into the contourlet domain to reduce the size of random measurement matrices. Several numerical experiments demonstrate that this idea is feasible. The proposed algorithm possesses the following advantages: reduced size of random measurement matrix and improved recovered performance.     

Radon变换和全变分相融合的图像复原算法

图像复原的核心是点扩散函数的估计和直接去卷积算法,针对拍照过程中,相机和被拍摄物体由于相对运动而导致的图像退化问题,提出一种基于Radon变换和全变分相融合的图像复原算法。首先利用radon变换对图像退化模型参数进行估计,然后采用全变分算法复原退化图像,最后在Matlab 2012平台进行仿真实验对算法的性能检验。仿真结果表明,相对于其它图像复原算法,本文算法可以准确估计退化模型参数,获得了更加理想的图像复原效果,具有一定的实际利用价值。     

基于矩的快速离散余弦变换处理机的设计及实现

阐述了基于矩的离散余弦变换算法和易于ＶＬＳＩ实现的脉动阵列算法结构,然后从软硬件结构划分、电路实现技术等方面探讨离散余弦变换处理机系统的设计思路。最后给出用矩实现的计算框图、电路实现框图以及外围驱动软件的结构设计。     

DCT域迭代混合的数字图像水印

提出了基于离散余弦变换和迭代混合的图像水印算法。选取图像DCT域的中频系数,对其运用迭代混合技术嵌入水印,用新的DCT系数置换原来位置的DCT系数。本系统主要包括水印的嵌入、水印的提取和水印的攻击实验三部分,其中水印图像的攻击试验又包括三种攻击试验:椒盐噪声干扰、滤波和剪切攻击,利用这三种攻击来测试水印算法的性能。仿真实验结果表明,该水印算法对于噪声干扰、滤波和剪切攻击都具有较好的鲁棒性,也是图像迭代混合思想成功应用于数字水印方面的一个例子。     

Direction-adaptive fixed length discrete cosine transform framework for efficient H.264/AVC video coding

The 2D-discrete cosine transform (2D-DCT) is one of the popular transformation for video coding. Yet, 2D-DCT may not be able to efficiently represent video data with fewer coefficients for oblique featured blocks. To further improve the compression gain for such oblique featured video data, this paper presents a directional transform framework based on direction-adaptive fixed length discrete cosine transform (DAFL-DCT) for intra-, and inter-frame. The proposed framework selects the best suitable transform mode from eight proposed directional transform modes for each block, and modified zigzag scanning pattern rearranges these transformed coefficients into a 1D-array, suitable for entropy encoding. The proposed scheme is analysed on JM 18.6 of H.264/AVC platform. Performance comparisons have been made with respect to rate-distortion (RD), Bjontegaard metrics, encoding time etc. The proposed transform scheme outperforms the conventional 2D-DCT and other state-of-art techniques in terms of compression gain and subjective quality.     

基于Contourlet变换的图像去噪方法

图像去噪是数字图像处理领域的一项重要技术.传统的基于小波变换的去噪方法,去噪效果不是很理想.为了解决这一问题,提出了一种基于Contourlet变换的图像去噪方法.实验结果表明,与传统小波去噪方法相比,该方法不但可以保留图像的边缘信息,而且能提高去噪后图像的信噪比.