浓度剖面的实验数据由非线性扩散方程的数值解进行拟合。
Numerical resolution of a non-linear diffusion equation was used to fit the experimental data.
提出了一种将正交滤波和非线性扩散相结合的取向估计方法。
This paper presents a method for orientation estimation which combines the quadrature filtering with nonlinear diffusion.
研究由退化非线性扩散方程所支配系统的周期最优控制问题。
This paper deals with the periodic optimal control governed by a degenerate nonlinear diffusion equation.
这些非线性图像滤波大多源于求解初始值为输入图像的非线性扩散方程。
These filters may boil down to solving nonlinear diffusion equations with initial values being input images.
而且为了保持图像特征，利用图像的方向导数局部地调整非线性扩散系数。
To preserve image features, the nonlinear diffusion coefficients are locally adjusted according to the directional derivatives of the image.
第一章介绍了这类非线性扩散方程的物理背景以及单调迭代法的大致过程。
In Chapter 1, we introduce the physics background of this class of nonlinear diffusion equation and generalize the monotone iteration.
基于偏微分方程的图像非线性扩散滤波，关键是确定合适的扩散机制与参量。
The key of image nonlinear diffusion filtering based on PDE (Partial Differential Equations) is to determine the appropriate diffusion mechanism and parameters.
本文基于一类非线性扩散过程的离散可观测数据，建立一种新的参数估计方法。
The paper proposes a new method to estimate nonlinear diffusions based on discretely observed data, and gives some properties of the corresponding parameters estimation.
在叠加成像方面，CRS叠加、非线性扩散滤波等可直接用来提高地震成像质量。
As for stack imaging, CRS stack and nonlinear diffusion filtering have been used to enhance the effects of seismic imaging in various seismic processing steps.
并通过基于该方法的四阶非线性扩散的图像去噪实验，结果表明了该方法的有效性。
The effectiveness of this method can be proved by using the fourth-order nonlinear diffusion of image de-noising experiment which is based on this method.
在第二章中我们主要利用群分支法来求解非线性扩散方程(2.4)的分离变量解。
In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
本文主要运用一种具有全局收敛性的单调迭代法求解了一类非线性扩散方程的数值解。
This paper mainly studies the numerical solution of a class of nonlinear diffusion equations using a monotone iteration method with the global convergence.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
通过设计扩散系数为梯度模及曲率的函数，提出了一种保护角点的非线性扩散滤波模型。
A corner preserving nonlinear diffusion filter is proposed, whose diffusion coefficient is the function of the gradient and the curvature.
探讨SAR图像相干斑抑制的非线性扩散方程方法。以抑制SAR图像噪声，提高图像质量。
This paper discusses the problem of speckle reducing of SAR image based on nonlinear diffusion equation in order to reduce the noise of SAR image and improve the image's quality.
本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计。
In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux.
其次我们得到一类带有非线性扩散项的MBSC B方程组在二维有界区域上弱解的存在唯一性。
Then the existence and uniqueness of weak solutions for a BSCB System with nonlinear diffusion term are established on 2-d bounded domains.
通过对目前非线性扩散算法的分析、总结，提出了基于区域特征分析的地形图图像自适应平滑算法。
With the summary and analysis of available anisotropic diffusion algorithms, a new adaptive diffusion algorithm based on image characteristics is presented.
进而深入研究了经典的基于偏微分方程的后处理方法，包括方向扩散，自蛇模型等非线性扩散方程。
After that we studied several Post-processing models based on PDE of Anisotropic Diffusion, including Directional Diffusion and Self-Snake model.
非线性扩散方程滤波是一种有效的图象增强算法，能在清除图象噪音的同时保存界面不发生漂移或模糊。
Nonlinear diffusion equation filtering is a powerful tool for enhancing image while preserving edges not drifting or blurred.
利用打靶法、上下解方法和不动点定理等工具，研究有孔区域上一类具非局部边值条件的非线性扩散方程。
The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains.
本文考虑盐淡水混合海湾沿岸的工厂和河流汇入污染物的非线性扩散现象，用有限元法进行数值分析计算。
This paper has focused on nonlinear diffusion of sewage from factories and rivers on mixing region of salt and fresh water of seaward firth. Finite element method has been used in this paper.
同时，我们详细研究了两类扩散方程的差分格式，讨论了处理各类边界条件的方法，以及处理非线性扩散的方法。
Moreover, we study numerical methods for two kinds of diffusion equations, and discuss how to deal with numerically different boundary conditions and the nonlinear diffusion.
利用小波变换能够很好地保留图像细节信息的特点，提出了一种将非线性扩散方程和小波变换相结合的图像去噪方法。
Using the features of wavelet transform that can save detail image information, an image denoising method with the combination of nonlinear diffusion and wavelet transform was presented.
利用二阶的非线性扩散方程进行图像去噪易产生具有“阶越效应”的去噪结果，也即使分段光滑的图像变为分段常量的。
Image denoising with second order non-linear diffusion PDEs often leads to an undesirable staircase effect, namely, the transformation of smooth regions into piecewise constant ones.
本文在基于偏微分方程的图像去噪方面进行了以下的研究：就非线性扩散偏微分方程的解法，引入了跳点有限差分格式。
We made the following research in image denoising based on PDEs. On the solution of nonlinear partial differential equations, the check-board finite difference scheme is introduced.
但这种非线性扩散方程在进行图像去噪的过程中存在两个缺点：滤波过后依然存在孤立噪声点和边缘处的噪声难以去除。
There are two shortcomings when such filter is used for image denoising: single speckle is reserved after filtering and noise at edges cannot be eliminated successfully.
为了了解由阀门注入的快速气体通过管道进入系统时的流动状态，必须求解在固定流量边界条件下的一维非线性扩散方程。
Flowing state of the gas during gas flows into the system was given by means of the calculation. The character of B-A nude gauge in flowing gases and the piezoelectric valve was measured.
为了了解由阀门注入的快速气体通过管道进入系统时的流动状态，必须求解在固定流量边界条件下的一维非线性扩散方程。
Flowing state of the gas during gas flows into the system was given by means of the calculation. The character of B-A nude gauge in flowing gases and the piezoelectric valve was measured.
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