分解算子

New image fusion method based on biorthogonal wavelet that different frequency component on each decomposition level uses different operator is proposed.

bstract 提出一种各分解层上的不同频率分量采用不同的融合算子的双正交小波函数图像融合的新方法。

According to their processes of construction, the projection methods are classified into three types in the present paper, namely, the Helmholtz-Hodge decomposition projection methods, the operator splitting projection methods and the local continuous projection methods.

本文根据投影方法的构造思路，将众多的投影方法分成了3类，即： Helmholtz-Hodge分解类投影方法、算子分裂类投影方法和局部连续投影方法，并详细的介绍了3类投影方法的发展历程和求解步骤。

Keywords: Multiscales analysis,Marr edge detection operator,Wavelet decomposition,Edge detection,Degree of the details selection

小波分解的级数控制观察距离"调焦"，改变 Marr算子中的标准差σ、可实现在同一分辨率级上所要求检测边缘的细节程度。

In order to construct the spectral decomposition of the Frobenius-Perron operator for a general Chebyshev maps We define a suitable dual pairs or rigged Hilbert space, which provides mathematical meaning for the spectral decomposition.

为了构建广义Chebyshev映射在Frobenius-Perron算子下的一种谱分解。

A dynamic interaction schematic of an end bearing or elastic bearing pile with arbitrary force at pile top is founded. By using Helmholtz resolution and the operator decomposition method, Biots equations governing motions of a porous solid saturated with interstitial fluid are decoupled.

建立饱和土中端承桩和摩擦桩在任意激振力作用下的理论模型，利用位移势函数及微分算子分解方法，得到饱和土层Biot动力固结方程的分离变量解。

Based on the energy operator Teager of the wavelet coefficients,the energy of the decomposed magnetic memory signals was increased.Using the signal singularity detection theory of the wavelet transform,combining the observation on the multidimensional transform results and the in Russia patented technique,the selfadaptive wavelet noise suppression of the signal was realized and the characteristic gradient of the magnetic memory was extracted.

基于小波系数的"Teager"能量算子，增强了分解后的磁记忆信号能量；从小波变换的信号奇异性检测理论出发，把多尺度变换结果观测与俄罗斯专利技术相结合，能准确判断异常应力集中区，实现了信号自适应小波消噪，提取了磁记忆的特征量梯度。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

In order to compute the converse of Laplacian algorithm rapidly, the theory of helical spectral factorization method is applied.

为了实现其中Laplacian算子的快速求逆，文中引入Claerbout螺旋坐标系谱因式分解理论。

Due to the effect of curvature of shell, the equation of motion of elastic waves in shell is much more complex than that in plate. The method of operator factorization can't be directly used to solve the equation of motion of elastic waves in shell by reducing it to the second order partial differential equations.

由于壳体曲率的影响，使得壳体的弹性波动方程比平板的运动方程复杂得多，难以直接采用算子因式分解方法，将其化成二阶偏微分方程求解。

Based on site projection operator,a systematic method is proposed to factorize the single-particle π Hamiltonian into irreducible representations of the maximal symmetry of the molecule.

基于位置投影算子，提出了一个系统的方法，用来按照分子的最大对称群，彻底地分解π电子共轭体系的哈密顿。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。