ill-posedness 中文意思是什麼
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In this paper, the behavior of the ill - posedness of the anisotropic diffusion is analyzed through the energy function
針對各向異性擴散方程中的「病態性」問題，從能量函數的角度對其原因進行分析，並依據穩定性的要求選擇合適的擴散系數。 -
Since there exists ill - posedness in reconstructing velocity on the surface and reconstructing pressures in the field, this paper attempts to introduce an iterative regularization method to resolve such inverse problems
由輻射聲壓重構結構表面振動速度和聲場聲壓存在解的離散病態問題，試圖利用一種迭代正則化方法來解決此類逆問題。 -
Now the two issues we are confronted with are : first, a reasonable regularization technique is required to overcome the ill - posedness of the problem ; second, we are required to develop a computational efficient technique to reduce the complexity of the solving, which in turn promotes the implementation of the solving algorithm
目前，逆問題研究中需要解決的關鍵問題是： 1對逆問題中的病態現象，給出一種合理的正則化方法； 2減少逆問題求解所需的計算量，增強求解演算法的可實施性。 -
Then, a new regularized conjugate - gradient reconstruction algorithm was proposed for optical tomograpy, in which the ill - posedness of the reconstruction problem and as a result the quality of the reconstructed image are improved by introducing two regularization terms of image entropy and the local smoothing function
其次，提出了一種正則化共軛梯度ot圖像重建演算法，通過引入圖像熵和局部平滑函數作為正則化項有效改善了重建問題中的病態特性，提高重建圖像的質量。最後，提出一種多解析度的ot圖像重建演算法。 -
This is due to the following two facts : the ill - posedness induced by the incompleteness of the observation data can make the solving much more difficult ; in addition, the observation system involved multiple sensors are required to compensate the inaccuracy of the observation equipment, which will inevitably make the cost of the computation prohibitively expensive
這是因為，一方面，由觀測數據的不完全性等因素導致的病態現象往往會給逆問題的求解帶來很大困難；另一方面，由於觀測設備自身性能和觀測環境等因素的限制，要獲得更高的估計精度往往需要用多個傳感器對目標進行觀測，這必將給求解逆問題帶來由於計算量過大而難以實現的困難。
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