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首页> 外文期刊>Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data >On real-time algorithms for the location search of discontinuous conductivities with one measurement
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On real-time algorithms for the location search of discontinuous conductivities with one measurement

机译:一种测量非连续电导率的实时算法

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摘要

We discuss, and compare, two simple methods that provide coordinates of a point in the vicinity of one inclusion within some object with homogeneous electrical properties. In the context of nondestructive testing such an inclusion may correspond to a material defect, whereas in medicine this may correspond to a lesion in the brain, to name only two possible applications. Both methods use only one pair of voltage/current measurements on the entire boundary of the object to determine a single pair of coordinates that is considered to be close to the center of the inclusion. The first method has been proposed previously by Kwon, Seo and Yoon; the second method, called here the effective dipole method, appears to be new. We discuss limitations of the two methods and derive error bounds for the effective dipole method under realistic assumptions. Finally, we also comment on other methods to localize inclusions.
机译:我们讨论并比较了两种简单的方法,这些方法提供具有均匀电特性的某些对象中一个包含物附近的点的坐标。在非破坏性测试的背景下,这样的夹杂物可能对应于物质缺陷,而在医学上,这可能对应于脑部病变,仅举两个可能的应用。两种方法都只在对象的整个边界上使用一对电压/电流测量值来确定被认为接近包含物中心的一对坐标。 Kwon,Seo和Yoon先前已经提出了第一种方法。第二种方法,这里称为有效偶极方法,似乎是新的。我们讨论了这两种方法的局限性,并在现实的假设下得出了有效偶极子方法的误差范围。最后,我们还评论了其他方法来本地化包含物。

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