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将微波成像应用于生物医学领域中具有许多潜在应用优势。如同其它物理逆问题 ,下面的两个问题是微波成像计算中常遇到的 :1、是否能得到唯一解 ?2、解是否稳定 ?这两个问题通常称为伪逆和病态问题。它们严重影响了逆问题求解的准确性。文中介绍了微波成像算法的基本原理 ,就伪逆和病态的概念进行了讨论 ,给出了正则化方法等几种可用于求解伪逆和病态问题的方法 ,特别通过举例 ,讨论了这些求解方法的优点和缺点。
There are many potential application advantages of applying microwave imaging in the biomedical field. As with other physical inverse problems, the following two problems are commonly encountered in the field of microwave imaging: 1. Can a unique solution be obtained? 2. Is the solution stable? These two problems are often referred to as pseudo-inverse and ill-posed problems. They seriously affect the accuracy of inverse problem solving. In this paper, the basic principle of microwave imaging algorithm is introduced. The concept of pseudo-inverse and ill-conditioned are discussed. Some methods, such as regularization method, are provided to solve the pseudo-inverse and ill-posed problems. In particular, The advantages and disadvantages.