提升小波变换与分形相结合的图像压缩

提出了一种提升小波变换与分形相结合的图像压缩方案.充分利用小波变换后系数能量的分布特性,对提升小波变换后的低频部分采用改进的分形图像压缩编码,其余部分采用集合分裂嵌入块(SPECK)编码算法.试验结果表明,该方法在提高了压缩效率的同时,获得了较高的恢复图像质量.     

基于Radon变换的横向剪切干涉图的自动检测技术

在分析测试原理的基础上,指出了现有方法的横向剪切量获得的不足,根据剪切图和Radon变换在边缘处具有突变的特点,提出了一种基于Radon变换的横向剪切干涉图的剪切量的自动检测方法,首先根据二维图像的Radon变换结果,得到剪切图的横向移动方向,对图形进行方向校正。然后利用干涉图形的特点对图形在X和Y方向上进行Radon变换,得到剪切量。利用MATLAB进行编程,实验结果表明该方法具有很好的性能和较高的实用价值。     

保费收入随机化的风险模型

本文推广了龚日朝(2001)的风险模型,把保费随机化,利用鞅方法讨论了保单来到过程与索赔来到过程均为Po isson过程的破产概率.接着又讨论了G erber-Sh iu期望折现函数,推导出了其满足的积分方程,以及L ap lace变换.最后利用随机游动的知识,讨论了当保单来到过程与索赔来到过程为同一更新过程时的破产概率.     

傅里叶变换红外光谱与拉曼光谱分析碳青霉烯药物亚胺培南的结构特征

本文采用傅里叶变换红外光谱和激光拉曼光谱对碳青霉烯药物亚胺培南进行光谱检测,并对其的分子振动光谱与结构特征进行分析和探讨,分析了亚胺培南在固相状态下的结构形式,从而为药物合成及质量控制提供了重要的参考价值。     

用多焦点全息透镜实现多重谱分数傅里叶变换

提出用多焦点全息透镜实现多重谱分数傅里叶变换.利用全息方法通过一次曝光制作出多焦点的全息透镜,分析了用此全息元件实现这种变换的条件,并在实验上实现了多重谱分数傅里叶变换. 实验结果表明这种变换方法简便可行,可广泛应用于多通道光学信息处理系统及多目标图像识别系统中.     

改进形态学相关算法以识别高相似度灰度图像

从形态学角度定义了灰度联合图像相似度，提出两种基于位表示法形态学相关算法的改进算法，通过提取位表示法的图像片边缘特征或二元化位表示法的图像片功率谱，以提高位表示法形态学相关算法对高相似度灰度图像的识别能力。     

多棱锥镜产生多光束干涉场的理论和实验研究

提出了一种使用多棱锥镜和多棱台镜产生多束相干光形成二维和三维光学格子的方法。理论分析和数值模拟了多束轴对称平面波干涉产生的二维及三维点阵结构的特性,得到了光场分布随光束数增加的关系,发现随着干涉光数目的增加,干涉场会复杂变化,当棱锥棱数足够多近似于一个圆锥时,干涉场会变为同心圆结构的贝塞尔光束的场分布。实验上使用多棱锥和多棱台镜进行了多光束干涉实验,得到了多束轴对称平面波干涉形成的光学格子,将数值模拟与实验结果进行了比较,二者完全吻合。     

Time variation of the electromagnetic transfer function of the earth estimated by using wavelet transform

In order to accurately estimate the geomagnetic transfer functions in the area of the volcano Mt. Iwate (IWT), we applied the interstation transfer function (ISTF) method to the three-component geomagnetic field data observed at Mt. Iwate station (IWT), using the Kakioka Magnetic Observatory, JMA (KAK) as remote reference station. Instead of the conventional Fourier transform, in which temporary transient noises badly degrade the accuracy of long term properties, continuous wavelet transform has been used. The accuracy of the results was as high as that of robust estimations of transfer functions obtained by the Fourier transform method. This would provide us with possibilities for routinely monitoring the transfer functions, without sophisticated statistical procedures, to detect changes in the underground electrical conductivity structure.     

Application of the finite Hankel transform to a diffusion problem without azimuthal symmetry

The problem treated in this paper concerns calculating the evolution of the pressure in a single-phase, slightly compressible fluid in a porous medium consisting of communicating layers. The fluid is produced through a point sink located on the side of an otherwise sealed cylindrical wellbore. This location of the sink causes the flow around the wellbore to be azimuthally asymmetric.The problem is solved through successive application of Laplace, finite Fourier and finite Hankel transforms. Although apparently straightforward, this approach leads to serious numerical difficulties. The published form of the inversion formula for the finite Hankel transform leads to inaccurate computation for the higher azimuthal modes even with 128 bit arithmetic. An alternative form is developed which enables accurate evaluation of the solution with the more practical 64 bit arithmetic. The technique for two-layer solution presented here can be directly extended to a problem with a larger number of communicating layers. This is the first instance of successful application of the finite Hankel transform to an azimuthally asymmetric diffusion problem.     

一种基于预测分类的小波图像编码

对于小波较像编码，如何有效地组织小波域系数是提高图像压缩效果的关键。本文在研究小波域系数统计特性的基础上，提出一种用于图像压缩的预测分类模式，与基于零树结构的编码不同的是它充分利用了小波域中“重要”系数的各种相关性，并通过结合提出的种子膨胀算法实现系数的分类输出，实验结果表明该方法所取得的压缩效果要优于基于零树结构的图像编码，同时又具有较强的鲁棒性。