摘要
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 advantages in the biomedical applications of microwave imaging. Just like many other inverse problems, microwave imaging usually confronts two problems: 1)Does the inverse problem always have unique solution? 2)Do small perturbations of the forcing function always result in small perturbations of the solution? These problems are usually called pesudoinversion and ill posedness. They are handicaps to obtain precise solution. This paper introduced the theory of the microwave imaging, discussed the concept of pseudoinversion and ill posedness, Specifically, presented some methods such as regularizing scheme, which can be used to resolve pseudoinvere and ill posed problems. Also, the advantages and disadvantages of these methods were discussed.
出处
《电波科学学报》
EI
CSCD
2000年第1期65-69,共5页
Chinese Journal of Radio Science
基金
国家高科技发展计划!(no.6 96 310 40 )
国家自然科学基金资助项目! (6 97710 2 1)
关键词
微波成像
算法
病态
伪逆
医学成像
Microwave imaging
Algorithm
Pseudoinversion
Ill posedness
Linear equation
Dielectric permittivity
