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针对二元小波框架在图像处理中应用的有效性,本文研究二元最小能量小波框架的特征.给出二元最小能量小波框架存在的充分必要条件,刻画了二元最小能量小波框架的特征.通过对加细函数和小波函数对应的面具函数进行多相分解,提出二元最小能量小波框架的分解与重构算法,并给出数值算例. 相似文献
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This paper is devoted to investigating the solutions of refinement equations of the form Ф(x)=∑α∈Z^s α(α)Ф(Mx-α),x∈R^s,where the vector of functions Ф = (Ф1,… ,Фr)^T is in (L1(R^s))^r, α =(α(α))α∈Z^s is an infinitely supported sequence of r × r matrices called the refinement mask, and M is an s × s integer matrix such that lim n→∞ M^-n =0, with m = detM. Some properties about the solutions of refinement equations axe obtained. 相似文献
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级联算法在计算机图形和小波分析中都有很重要的作用.对任意的初始函数φ0,一个级联序列(φ_n)_(n=1)~∞是由迭代产生的序列φ_n=C_aφ_(n-1)(n=1,2,…),其中 C_a 定义为C_ag=sum from α∈Ζa(α)g(2·-α),g∈L_p(R).用函数序列和联合谱半径刻画了级联序列的收敛性.作为一个结果,证明了任意的级联收敛序列都有几何收敛速度,即‖φ_(n-1)-φ_n‖_[L_p(R)]=O((?)~n)对某个(?)∈(0,1)成立.不要求对面具的求和定则的条件. 相似文献
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《数学的实践与认识》2015,(15)
基于双向加细小波函数和双向小波尺度函数,给出了矩阵伸缩的双向小波的定义;给出矩阵伸缩的多分辨分析,并给出矩阵伸缩的小波的正交条件,得到矩阵伸缩的双向小波包;并得到相关性质和结论. 相似文献
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A new technique for designing a varactor-tunable frequency selective surface (FSS) with an embedded bias network is proposed and experimentally verified. The proposed FSS is based on a square-ring slot FSS. The frequency tuning is achieved by inserting varactor diodes between the square mesh and each unattached square patch. The square mesh is divided into two parts for biasing the varactor diodes. Full-wave numerical simulations show that a wide tuning range can be achieved by changing the capacitances of these loaded varactors. Two homo-type samples using fixed lumped capacitors are fabricated and measured using a standard waveguide measurement setup. Excellent agreement between the measured and simulated results is demonstrated. 相似文献
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本文研究多尺度双向向量值正交小波的存在性、构造算法与性质.利用多分辨分析理论,时频分析方法与矩阵理论,给出紧支撑多尺度双向向量值正交小波的构造算法,得到多尺度双向向量值小波包的正交公式与向量值小波包基.推广了向量值正交小波的概念. 相似文献
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It is well known that the convergence of multivariate subdivision schemes with finite masks can be characterized via joint spectral radius. For nonnegative masks, we will present in this paper some computable simply sufficient conditions for the convergence, which will cover a substantially large class of schemes. 相似文献
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