ill-posed problem 中文意思是什麼
ill-posed problem
解釋
不適定問題-
Ill - posed nature and regularization of inverse problem for one dimensional wave equation
一維波動方程反問題的不適定性及正則化分析 -
The electromagnetic inverse scattering is one of most difficult problem due partly to its ill - posed, nonlinear and instablity nature
由於逆散射問題的求解存在病態性、非唯一性以及不穩定性，這給它的求解帶來很大困難。 -
By means of idea of the quasi - solution the inverse problem is converted into a sequence of well - posed forward problems and an ill - posed system of algebraic equations
應用擬解法的思想，把原問題分解為一系列適定的正問題和一個不適定的線性代數方程組。 -
If the edge types are classified in prior, then the smoothing scale can be selected rightly and the ill - posed problem of edge detection will be solved comparatively well
若能預先對邊緣類型進行分類，則可選取合適的平滑尺度，較好地解決邊緣檢測的「兩難」問題。 -
In conclusion the main contents are as follows : 1. in the field of edge detection, the noise reducing and edge localization are contradictory parts and are regarded as an ill - posed problem
主要內容有： 1 ）在邊緣檢測中，噪聲消除與邊緣定位是兩個相互矛盾的部分，是一個「兩難」問題。 -
This paper emploied gp ( genetic program ) to identify and built the model of right - side function of parabolic equations and adopt regularization method to solute its intrinsic ill - posed problem
摘要用遺傳程序設計反演二維拋物型方程右端函數模型並在求解右端函數的適應值評價中我們採用正則化來解決反演中的不適定問題。 -
Due to the fact that the problem of reconstructing image from compton scattering energy spectral data is an ill - posed problem, any error or noise in the measurements will be amplified in the reconstruction results
由於從康普頓散射能譜直接求逆重建密度圖像是一個不適定性問題，測量的微小誤差會在重建結果中被放大。 -
The artificial neural network is used to tackle an ill - posed problem of the parameter identification and to approximate nonlinear function relationship between the vibration responses of the hydraulic generator and model parameters
利用人工神經網路具有解決參數識別反問題不適定性的能力，建立了水輪機系統響應與模型參數之間近似的非線性函數關系。 -
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。 -
On one hand, from the technique of constrained least squares and limited energy of additive noise, an effective restored approach by adopting regularization method to overcoming ill - posed problem, solving an equation with a single variable, and using space iterative algorithm is proposed ; on the other hand, aiming at the restoration of blurred image, another effective restoration approach based on least - square algorithm is also proposed in this paper. this method firstly adopts increment iterative algorithm to improve convergence and meanwhile applies regularization technique to overcome ill - posed problem. in the computations, the regularized parameter has its adaptive character, which can be determined in terms of the restored image at each iteration step therefore automatically correct to the appropriate value
一是從約束最小二乘出發，在加性噪聲能量有界的前提下，採用正則化方法來克服病態問題，通過解一個單變量方程，並利用空域迭代運算實現了一種有效的圖像復原;二是針對模糊圖像的復原問題，從最小二乘演算法出發，採用增量迭代的方法改善演算法的收斂性，同時結合正則化技術克服問題的病態性質，並引入自適應的正則化參數，使其與圖像復原的迭代運算同步進行並自動修正到最優值。 -
The algorithm only needs to solve an ill - posed linear system and a well - posed minimization problem and requires only the knowledge of the near field measurements of the scattered fields due to point source fields at a finite number of incidence and observation points distributed over a limited aperture
該演算法只需求解一個不適定的線性系和一個適定的非線性最小化問題，而且只需要點源入射場的散射場在某個有限孔徑中若干有限個入射和測量點上的近場測量信息。 -
Based on this ill - posed problem of edge detection, the edge types that exist in real images are described as mathematical models and the edge models that smoothed by gaussian function are regarded as the research objects. the paper systematically analyzes the characteristics of the different edge types and the relations between the localization of the different edge types and the smoothing scale while using the numerical differentiation as the method to detect edges
本文從邊緣檢測的「兩難」問題出發，對實際圖像中可能出現的邊緣類型進行了數學模型描述，然後把高斯平滑后的邊緣模型作為研究對象，系統地分析了採用微分法檢測邊緣時，不同的邊緣類型表現出來的特性，以及不同類型的邊緣定位與平滑尺度的關系。 -
On the basis of a united mixed media model including porous medium, equivalent continuum fracture medium and discrete fracture medium, the seepage parameter inverse problem about fracture rock masses is studied systematically and some effective measures are presented to decrease the ill - posed property and improve the reliability of parameter identification. the indirect method widely used in parameter identification fields is applied to solve the seepage parameter inverse problem
在此基礎上，本文採用包容多孔介質、多裂隙介質及離散裂隙介質的統一域混合模型，利用目前參數反演領域應用最為廣泛的間接法，首先針對裂隙巖體滲流場單場參數反問題進行了深入研究，主要目的是改善參數反問題的適定性以提高參數反演的可靠程度。 -
Inverse technique is to determine unknown causes based on observation of their effects, it has been applied to many fields of scientific research and engineering practice. due to their intrinsic ill - posed and non - linear characteristics, the inverse problems are more difficult to solve than their corresponding direct problems. so, in this dissertation, the generalized integrated optimization, a recent advanced method, was applied to solve inverse problem of mechanic engineering
由於反演問題的不適定性和非線性，其求解難度較大，因此本文運用一種新興的方法來研究新的反演設計方法，提出基於廣義集成優化的反演設計方法，以應用於機械設計為目標，系統研究了該方法應用於機械設計的一些關鍵技術，並將該方法應用到具體的設計實踐之中。 -
Regularization theory is introduced as a natural framework for studying this classic, ill posed problem which otherwise admits an infinite number of solutions
而正規化理論就成為研讀經典、非良置性問題的自然架構，得以容納大量的解答方式。
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