AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL ARMLET MULTI-WAVELETS WITH MULTIPLICITY r AND DILATION FACTOR a

The purpose of this paper is to construct an orthogonal Armlet multi-wavelets with mul-tiplicity r and dilation factor a.Firstly,the definition of Armlets with dilation factor a is proposed in this paper.Based on the Two-scale Similar Transform(TST),the notion of the Para-unitary A-scale Similar Transform(PAST) is introduced,and we also give the transform on the all two-scale matrix symbols of the multi-wavelets with dilation a.Then we show that the PAST and the transform on the matrix symbols of the multi-wavelets keep the orthogonality of the multi-wavelets system.We discuss the condition that multi-wavelets corresponding to the multi-scaling functions are all Armlets.After performing the PAST and the transform on the matrix symbols of the multi-wavelets,the multi-scaling function can be balanced and the corresponding multi-wavelets can be Armlets at the same time.The construction of Armlets with high order is also discussed.At last,by a given example,we can conclude that the algorithm is feasible and efficient.

高阶平衡的多尺度函数和高阶Armlet的构造

文章研究了多尺度函数平衡性与对应的Armlet多小波的构造,陈述了高阶平衡多尺度函数的定义与高阶Armlet多小波的定义,以及相关定理;并且证明了一个构造高阶多尺度函数的同时使得对应的多小波也是高阶Armlet的构造定理。最后,给出了一个多尺度函数是高阶平衡的同时对应多小波函数也是高阶Armlet的构造算法。

基于Armlets的人脸光照补偿

提出了一种用于非均匀光照条件下人脸识别的光照补偿算法。该算法通过在对数域计算2维Arm lets多小波变换来实现人脸光照补偿,然后直接在对数域进行人脸识别。在Yale B人脸库中与其他光照补偿算法进行了比较,实验结果表明,该方法的平均误识率仅为0.18%,优于现有的其他算法。

二重紧支撑正交插值平衡的多尺度函数和插值Armlet多小波函数的构造

多小波作为单小波的推广,可以同时拥有正交性、紧支撑性、光滑性、对称或反对称性、高阶消失距等诸多优良性质.为了避免多小波的预滤波,Lian Jianao引入了Armlet多小波.本文以Armlet多小波的基本理论为基础,给出二重紧支撑正交插值平衡的多尺度函数和具有插值性的Armlet多小波函数的构造方法,并且建立了相应的多小波采样定理,最后给出关于二重紧支撑正交插值的平衡Armlet多小波的两个构造算例.

一种新的Armlet多小波的构造算法

具有Armlet性质的多小波以及具有平衡性质的多小波在图像处理等领域中有很好的应用前景。为了避免离散多小波变换的预滤波,连建傲提出了Armlet的概念。此外,Leburn提出了平衡的概念,也可以避免预滤波。文章给出一个关于多尺度函数是平衡的与其对应的多小波是Armlet多小波的构造算法和算例。

多尺度函数的平衡性与Armlet的研究

研究了多尺度函数的平衡性与其对应的多小波的存在条件,对特定算法下构造出的正交多小波进行变换,得到平衡化多尺度函数及对应的多小波函数,进一步讨论了正交对称的情形。最后结合算法,构造了一个关于多尺度函数是平衡的及对应的多小波的算例。

多尺度函数平衡与Armlet多小波的显式构造

本文研究了关于多尺度函数是平衡的同时其对应的多小波是Armlet多小波的问题,给出了该问题的一种显式构造方法.首先给出了仿酉矩阵的构造,然后利用仿酉两尺度相似变换讨论了多尺度函数平衡性与对应的Armlet多小波的关系,最后给出了平衡Armlet多小波的构造定理和算例.

Dyadic Bivariate Fourier Multipliers for Multi-Wavelets in L^2(R^2)

The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were completely characterized by the Wutam Consortium(1998) and Z. Y. Li, et al.(2010). But there exist no more results on orthogonal multivariate wavelet matrix multipliers corresponding integer expansive dilation matrix with the absolute value of determinant not 2 in L~2(R~2). In this paper, we choose 2I2=(~2~0)as the dilation matrix and consider the 2 I2-dilation orthogonal multivariate waveletΨ = {ψ, ψ, ψ},(which is called a dyadic bivariate wavelet) multipliers. We call the3 × 3 matrix-valued function A(s) = [ f(s)], where fi, jare measurable functions, a dyadic bivariate matrix Fourier wavelet multiplier if the inverse Fourier transform of A(s)( ψ(s), ψ(s), ψ(s)) ~T=( g(s), g(s), g(s))~ T is a dyadic bivariate wavelet whenever(ψ, ψ, ψ) is any dyadic bivariate wavelet. We give some conditions for dyadic matrix bivariate wavelet multipliers. The results extended that of Z. Y. Li and X. L.Shi(2011). As an application, we construct some useful dyadic bivariate wavelets by using dyadic Fourier matrix wavelet multipliers and use them to image denoising.

Balance of multi-wavelets

The discrete scalar data need prefiltering when transformed by discrete multi-wavelet, but prefiltering will make some properties of multi-wavelets lost. Balanced multi-wavelets can avoid prefiltering. The sufficient and necessary condition of p-order balance for multi-wavelets in time domain, the interrelation between balance order and approximation order and the sampling property of balanced multi-wavelets are investigated. The algorithms of 1-order and 2-order balancing for multi-wavelets are obtained. The two algorithms both preserve the orthogonal relation between multi-scaling function and multi-wavelets. More importantly, balancing operation doesnt increase the length of filters, which suggests that a relatively short balanced multi-wavelet can be constructed from an existing unbalanced multi-wavelet as short as possible.

新疆地区青铜时代螺旋首铜臂钏的发现及来源

近年来,新疆地区青铜时代的墓葬中陆续出土两端有螺旋形装饰的铜臂钏,是中国早期青铜器中发现的新类型。公元前2千纪至1千纪间,这类铜臂钏在欧亚草原地区流行起来,它是安德罗诺沃文化的典型饰品之一。考察这类器物的源流有助于加深了对青铜时代东西文化交流的认识。

Capitalizing on Superconvergence for More Accurate Multi‑Resolution Discontinuous Galerkin Methods

This article focuses on exploiting superconvergence to obtain more accurate multi-resolution analysis. Specifcally, we concentrate on enhancing the quality of passing of information between scales by implementing the Smoothness-Increasing Accuracy-Conserving (SIAC) fltering combined with multi-wavelets. This allows for a more accurate approximation when passing information between meshes of diferent resolutions. Although this article presents the details of the SIAC flter using the standard discontinuous Galerkin method, these techniques are easily extendable to other types of data.

唐代的臂钏与指环

本文基于墓葬和遗址的考古发现,对唐代臂钏和指环作了全面梳理,在形制分析的基础上,考察其使用状况、分布地域、等级特征和文化内涵。研究表明,唐代臂钏较指环更为流行,分布地域也更广,两者作为较私密的装饰品,均不具有等级标识作用。

Image Fusion Real-time System Based on FPGA and Multi-DSP

In order to solve complex algorithm that is difficult to achieve real-time processing of Multiband image fusion within large amount of data, a real-time image fusion system based on FPGA and multi-DSP is designed. Five-band image acquisition, image registration, image fusion and display output can be done within the system which uses FPGA as the main processor and the other three DSP as an algorithm processor. Making full use of Flexible and high-speed characteristics of FPGA, while an image fusion algorithm based on multi-wavelet transform is optimized and applied to the system. The final experimental results show that the frame rate of 15 Hz, with a resolution of 1392 × 1040 of the five-band image can be used by the system to complete processing within 41ms.

Armlet多小波的构造算法

给出将紧支撑的非Armlet正交多小波变换成1阶或更高阶的紧支撑Armlet正交多小波的构造算法.此构造算法是显式的,且保持原多小波的所有性质.最后给出一个构造算例.

A New Class of Multi-wavelet Bases: V-System

The V-system is a complete orthogonal system of functions defined on the interval [0, 1], generated by finite Legendre polynomials and the dilation and translation of a function generator, which consists of a finite number of continuous and discontinuous functions. The V-system has interesting properties, such as orthogonality, symmetry, completeness and short compact support. It is shown in this paper that the V-system is essentially a special multi-wavelet basis. As a result, some basic properties of the V-system are established through the well-developed theory of multi-wavelets. From this point of view, more other V-systems are constructed.

Cycle-slip Detection of GPS Carrier Phase with Methodology of SA4 Multi-wavelet Transform

That cycle-slips remain undetected will significantly degrade the accuracy of the navigation solution when using carrier phase measurements in global positioning system （GPS）. In this paper, an algorithm based on length-4 symmetric/anti-symmetric （SA4） orthogonal multi-wavelet is presented to detect and identify cycle-slips in the context of the feature of the GPS zero-differential carrier phase measurements. Associated with the local singularity detection principle, cycle-slips can be detected and located precisely through the modulus maxima of the coefficients achieved by the multi-wavelet transform. Firstly, studies are focused on the feasibility of the algorithm employing the orthogonal multi-wavelet system such as Geronimo-Hardin-Massopust （GHM）, Chui-Lian （CL） and SA4. Moreover, the mathematical characterization of singularities with Lipschitz exponents is explained, the modulus maxima from wavelet to multi-wavelet domain is extended and a localization formula is provided from the modulus maxima of the coefficients to the original observation. Finally, field experiments with real receiver are presented to demonstrate the effectiveness of the proposed algorithm. Because SA4 possesses the specific nature of good multi-filter properties （GMPs）, it is superior to scalar wavelet and other orthogonal multi-wavelet candidates distinctly, and for the half-cycle slip, it also remains better detection, location ability and the equal complexity of wavelet transform.

试论刘家河商墓出土金臂钏

北京刘家河商代墓葬出土金臂钏年代早、器型大,是研究商代北方地区黄金制品工艺及形制发展的重要实物资料。本文利用科技检测及文献解读的方法,探讨了金臂钏制作工艺、形制演变及传播等问题。研究表明,两件金臂钏材质不同,但均为自然金;采用熔铸、锤揲、打磨等工艺制作而成。从时空方面考察,刘家河金臂钏承接了夏家店下层文化因素,并对燕山南麓向东和燕山北麓及辽西丘陵地区产生了影响。