( ) u p 0 ( ) u u f ∇ ≈ p n f ≈ 1, 2, , u U = K 从数学上看,该问题是病态问题(Ill-posed problem),即解是不唯一的.因此,如果期望从众多解中找到满意解, 就需要建立合适的数学模型.
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, as well as noise brought by circuit and device. In fact, the problem is mathematically inverse and ill-posed problem.
实际中,该问题解决属于数学上的反问题、也是病态问题。
参考来源 - 正则化最小二乘结合偏微分方程的图像复原技术研究Experiments show validity of the approach presented, and possibility in some extent to revolve the ill-posed problem of reconstructing the object’s 3-D structure from the 2-D images.
实验结果表明了所提方法的可行性,在一定程度上解决了从二维图像重建目标三维结构的不适定问题。
参考来源 - 基于骨架的目标表示和识别技术研究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。
参考来源 - 桥梁移动荷载识别的不适定问题研究·2,447,543篇论文数据，部分数据来源于NoteExpress
With normalization of the digital edge set, the ill-posed problem is effectively regularized.
通过对边缘点集的归一化运算，有效地正则化了提取椭圆的边缘点集的病态性；
The major advantage of MREIT is the high impedance resolution imaging and improvement of the ill-posed problem in conventional EIT.
其最大优点在于能得到高分辨率的阻抗分布图像，改善常规EIT技术的缺陷。
It is well known that optical tomography(OT) is an ill-posed problem and some proper apriori information is incorporated in order to decrease the ill-poseness.
光学层析成像是一个病态重建过程，为降低重建过程中的病态特性，需加入合适的先验信息。
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