To solve the ill-posed problem in electrical capacitance tomography ( ECT), a new image reconstruction algorithm based on total variation ( TV) regularization is proposed. 针对由少量角度的投影数据重建CT图像的问题,提出了一种改进的基于图像总变差最小的迭代重建算法。
In order to solve the ill-posed of heat conduction equation, discrete regularization method is used. 热传导方程寻源反问题具有不适定性。
The resolution strategy for ill-posed inverse problems encountered in science and engineering researches is put forward, based on multi-objective optimization. 针对科学和工程研究中的病态逆问题,提出了基于多目标优化的求解方法。
The inverse heat conduction problem ( IHCP) is severely ill-posed problem in the sense that the solution ( if it exists) does not depend continuously on the data. 逆热传导问题(IHCP)是严重不适定问题,即问题的解(如果存在)不连续依赖于数据。
Tikhonov Regularization for Solving Ill-posed Problems Tikhonov正则法在解决不适定问题的应用
Several Regularization Methods for Ill-Posed Problems and Their Numerical Realization 几种不适定问题的正则化方法及其数值实现
According to some practical examples, this thesis gives the basic definition and uniform form of inverse problems and ill-posed problems, and then operator equation is got by discursion. 本文从一些实例出发,给出了反问题和不适定问题的基本概念及反问题的统一形式,从而得出了算子方程。
Density estimation is fundamentally ill-posed, because there are infinitely many probability distributions that could have given rise to the observed finite data set. 密度估计从底子上讲是不适定的,因为有无穷多的概率分布能满足已观测到的有限的数据集。
Nonlinear Implicit Iterative Method and Regularization GMRES Method for Solving Ill-posed Problems 求解不适定问题的非线性隐式迭代法和正则化GMRES方法
Most problems in image restoration are ill-posed, so regularization technique is needed to restrict the problems. 大多数图像复原问题都具有病态性质,需要利用正则化技术对问题加以约束。
But the available first or the second kind of integral equations are ill-posed, so the regularization methods must be employed. 为此,本文提出接触力优化的一个熵正则化模型,并利用基于正则化过程的序列二次结构优化算法求解。
Error estimates of finite dimensional regularized method for solving ill-posed problem 有限维正则化方法求解不适定问题的误差估计
A Mixed Newton-Tikhonov Method for Nonlinear Ill-Posed Problems 求解非线性不适定的混合Newton-Tikhonov迭代法
Research on the Non-classical Regularization Methods for Some Ill-posed Problems 求解几类不适定问题的非经典正则化方法研究
Characteristics of the Best Approximation Solution of Ill-posed Linear Operator Equation 不适定线性算子方程最佳逼近解的特征
Identification of dynamic axle loads on bridges is an inverse problem of structural mechanics, and a notable feature of which is the presence of ill-posed problem. 移动荷载识别属于结构动力学逆问题的范畴,而逆问题的一个显著特点就是存在不适定性。
Sensitivity and Ill-posed Problem of Open EIT 开放式电阻抗成像的灵敏度和病态性问题
Research on Equality Constraint Inversion with Ill-posed Constraint Matrix 附有病态约束矩阵的等式约束反演问题研究
Effective methods that can tackle the ill-posed problems are the so-called regularization methods during the inverse process. 正则化方法是在求该逆过程中解决病态性问题的有效方法。
The theoretical analysis and numerical method for ill-posed problems need to be improved. 无论从定性分析方面,还是从数值计算方面而言,研究不适定问题的理论和计算方法,都尚待改进和完善。
Regularization technique is an effective method of solving ill-posed inverse problems. 非线性不适定问题相对线性不适定问题更为复杂,正则化方法是解决这一不适定问题的一类有效的方法。
Tikhonov's regularization method is applied for solving linear ill-posed problems. 采用Tikhonov正则化方法求解,使问题的不适定性得以解决。
First, the Tikhonov regularization method is employed to solve the ill-posed inverse problem. 首先利用Tikhonov正则化法求解不适定逆问题;
The ill-posed equations are solved by using Tikhonov regularization. 然后采用施加了平滑度约束的Tikhonov正则化方法求解这一病态方程组。
The ill-posed problem can be divided into linear ill-posed problems and nonlinear ill-posed problems. 首先,针对如何建立有效的正则化方法来求解不适定问题,可将不适定问题分为线性不适定问题和非线性不适定问题。
For solving the ill-posed inverse problems, generally use the classical Tikhonov regularization method. 对于病态反问题的求解,一般采用经典的Tikhonov正则化方法。
In this thesis, we have discussed how to solve the nonlinear ill-posed problems. 本文主要研究非线性反问题和不适定问题的求解。
Nowadays the methods studied for nonlinear ill-posed problems are Tikhonov-regularization and iterative regularized methods. 现在研究用来求解非线性不适定问题的方法主要有Tikhonov正则化方法和正则化迭代法两种。
The ill-posed inverse problem of remote sensing was solved using prior information. 利用先验知识解决了遥感反演的病态问题。
In the first section, we introduce the concept of ill-posed problem and its relation with inverse problem. 我们在第一节中介绍不适定问题的特点及其与反问题的关系。