离散

The foundations theory of wavelet analysis are introduced, including integral wavelet transform , discrete wavelet transform , wavelet frames theory and its decomposition and reconstruction, multiresolution analysis theory and direct sum decomposition of L〓 space and reconstruction of functions based on multiresolution analysis theory.

介绍了小波分析理论的核心内容，包括积分小波变换、离散小波变换、小波框架理论以及小波框架的分解与重构、多分辨分析理论以及基于MRAT的L〓空间的分解与函数重构算法。

The information Radon coefficient wrap-around of the line on a finite field was caused by the modular arithmetic so that the Radon coefficient information in the periodic oscillations direction was processed with discrete cosine transformation, and other direction information was processed with wavelet analysis in order to reduce the wrap-around of rebuilding information. At the same time, according to the characteristic of the noise, one kind of denoising threshold selection plan was proposed.

正交有限脊波分析处理信息时，有限域平面上的直线由于模运算的存在而引起信息Radon系数的卷绕，为此，对Radon系数周期振荡方向的信息采用离散余弦变换处理，其他方向信息采用小波分析处理，以减少卷绕对信息重建影响；同时，结合图像信息中噪声的特点，提出了一种去噪浮动阈值的选取方案。

Using the directional derivative formula, the governing equation is discreted in the physical domain in which a nonorthogonal grid system is used. Two kinds of AF2 schemes, i. e. AF2-plane relaxation and full implicit AF2, for the TSD equation are proposed. Numerical results show that the full implicit AF2 scheme converges faster than AF2plane relaxation scheme. For the rectangular wing and swept wing, the results of the present method are compared with FP results, and the agreement is good.

采用适合于梯形机翼和后掠机翼的斜网格，利用方向导数公式直接在物理空间对主管方程进行离散；将近似因式分解方法应用于绕机翼的跨音速小扰动势流问题，提出AF2—面松弛和AF2全隐式两种迭代格式，并对它们的收敛速度进行比较，结果表明后者明显快于前者；直机翼和后掠机翼的算例表明，本文方法的结果与精确势流方法的结果吻合良好。

A algorithm of dim small targets detection in infrared image is proposed. Image is processed by using median filter and unsharp mask. The infrared image intensity surface is fitted by Haralickd discrete orthogonal polynomial basis function,and then the maximum points are detected on the fitted intensity surface by convolving the image with the second order directional derivative operators.

提出一种红外弱小多目标图像检测方法，图像先经过中值滤波、高提升滤波增强处理，再用基于Haralick离散正交多项式曲面拟合图像，拟合曲面的极大值点即目标点，可以利用导出的二阶方向导数算子与图像进行卷积得到。

In the final rendering period, the color field, directional point splatting and color refining technologies were applied to obtain a smoothed image of fire from discrete locations of particles.

在粒子渲染过程中，采用了色度场、有向点扩散和颜色锐化技术，由离散的粒子空间分布得到了较为理想的连续火焰图像。

The time-dependent Dirichlet boundary condition was used to describe the variation of water head during water level fluctuation.

模型的求解采用效率较高的积分有限差分法进行空间离散，并编制了全隐式联立求解的计算程序，通过变换主要变量，实现了饱和与非饱和的相互转变，采用随时间变化的Dirichlet边界条件精确模拟水位波动时的变水头边界条件。

A scalable parallel algorithm of block tridiagonal systems for solving the initial boundary value problem of 3D-parabolic equation with the Dirichlet boundary condition is discussed.

对三维抛物型方程带Dirichlet边界条件初边值问题的离散系统使用块三对角可扩展并行算法求解。

A scalable parallel algorithm of block tridiagonal systems for solving the boundary value problem of 2D Poisson equation with the Dirichlet boundary condition is discussed.

对二维Poisson方程带Dirichlet边界条件边值问题的离散系统使用块三对角可扩展并行算法求解。

In chapter 4 and chapter 5, the Dirichlet transmission conditions for overlapping Schwarz methods will be replaced by Robin transmission conditions when applied to general linear elliptic partial differential equations.

为了能够直接应用于某些实际问题，本文第六章把最优Robin参数的确定方法推广到由椭圆型问题离散化得到的稀疏矩阵问题。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法，进而研究如何针对参数曲面使用有限元方法，并把该方法引入到有理Bézier极小曲面造型的设计中，从而将连续的Dirichlet能量函数极小化问题，转化为一个离散形式的目标函数的极小化问题。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。