tikhonov regularization 中文意思是什麼
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This thesis is to recommend a important class of regularized strategies for solving inverse problems - mollifier method. it anaysises the consistency, numerical stability and error estimates of mollified solution. similar to tikhonov regularization, a discrepancy principle for selecting the mol - lifier parameter is proven and applications to numerical differentiation and numerical inversion of abel transform and also given
本文將介紹求解反問題的一類重要的正則化策略?緩鎮法，並基於用gauss核構造的緩鎮運算元，分析了緩鎮解的相容性、數值穩定性和誤差估計，與tikhonov正則化類似，我們證明了決定緩鎮參數的偏差原理。 -
Robust tikhonov regularization method and its applications
正則化方法及其應用 -
Study of travel time tomography by iterative tikhonov regularization inversion
正則化反演研究 -
Tikhonov - phillip ' s regularization inversion method of
正則化方法 -
Then, in the light of the characteristic, based on the tikhonov regularization theorem, two new regularizers are designed to mitigate the ill - condition of the normal matrix in gps rapid positioning
基於tikhonov正則化原理，針對這種特性，設計了兩種正則化矩陣r的構造方法。通過新的正則化矩陣的作用，減弱了法矩陣的病態性。 -
The use of tikhonov regularization theory was to solve ill - posed problem of image reconstruction and the use of sirt algorithm was to improve the quality of the final reconstructed image
為了克服圖像重建中的不適定性問題，利用tikhonov正則化原理進行初始圖像重建。 sirt演算法則用來對初始重建圖像進行迭代改善以獲得最終重建圖像，改善了重建圖像的質量。 -
The numerical differentiation of first and second order with tikhonov regularization
正則化方法求一階和兩階的數值微分 -
This thesis is to present and analyze one class of regularized multi - grid algorithms ( rmga ) for solving operator equations of the first kind. the rmga employs tikhonov ' s regularization to solve the corase grids equations with a new choicing parameter ' s posteriori - method for improving the numerical stability, and adopts a new smoothing strategy to correct the solutions on the fine grids for preserving the high efficiency of mgm. meanwhile, some key technical problems in the process of implementation of rmga are disscussed
本文將提出一類適合第一類運算元方程的正則化的多重網格演算法，它結合一種新的正則參數選取準則，應用tikhonov正則化來求解粗網格方程保證了求解的穩定性；而在將解向細網格延拓時使用了一種新的光順處理策略。 -
Finally, an improved successive approximation process algorithm based on histogram constraint and tikhonov - miller regularization is proposed
最後，本文提出一種結合直方圖約束和tikhonov - miller正則化的連續近似迭代演算法。 -
The voidage measurement and flow pattern identification technique of gas - liquid two - phase flow were studied. experimental results show that the developed measurement technique is effective. the main works are listed as the following : a new hybrid image reconstruction algorithm which combines tikhonov regularization theory with sirt ( simultaneous reconstruction technique ) algorithm was presented
本文基於電容層析成像技術（ ect - electricalcapacitancetomography ） ，對氣液兩相流的空隙率測量和流型辨識方法進行了研究，並通過實驗進行了驗證，得到了一些有益的結論：提出了一種基於tikhonov正則化原理和sirt （ simultaneousreconstructiontechnique ）演算法相結合的組合型量化圖像重建新演算法。 -
( 5 ) three ert reconstruction algorithms are analyzed and compared by the simulation gas / liquid two - phase flow experiment data. their name is the sensitivity coefficient algorithm, the combination algorithm of tikhonov regularization and algebraic reconstruction technique ( art ) and the modified bfgs ( mbfgs ) algorithm
（ 4 ）對實驗中測得的圖像數據，分別採用了靈敏度系數法、 tikhonov正則化技術和art相結合的組合型圖像重建演算法、改進的bfgs演算法進行離線成像。 -
It is a combination of tikhonov regularization and algebraic reconstruction technique ( art ). it is found that the algorithm is stable and the influence of data fluctuation on image reconstruction is eliminated. furthermore, the qualities of the images reconstructed by using the proposed algorithm are improved
建立了新的ert圖像重建演算法的數學模型，提出了一種將tikhonov正則化方法和代數重建演算法（ art相結合的組合型圖像重建演算法，研究表明該演算法是一種較為穩定的演算法，具有克服測量數據波動對圖像重建的影響的能力，同時模擬研究表明該演算法在一定程度上提高了圖像重建的質量。 -
Based on tikhonov regularization method and considering sufficiently the practice of geodesy, the main thread of the choice of the regularizer and the determination of the smoothing parameters is grasped and the in - depth research on the ill - posed problems in geodesy is carried out. a framework of the theory and methods of systematically processing the ill - posed problems has been established and tikhonov regularization method has been evolved in this paper
本文基於tikhonov正則化方法和歐吉坤研究員提出的選權擬合的研究思路，充分考慮大地測量實際，抓住正則化矩陣的選取和正則化參數的確定這條主線，對大地測量中的不適定問題進行了深入研究，建立起了一套較系統的不適定問題處理理論及方法的框架，進一步發展了tikhonov正則化方法。
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