The solution to the microwave imaging problem is often provided by systems that employ global optimization methods that search for material properties of the selected investigation domain. A novel method for the solution of the microwave imaging problem based on the optimization with a variable number of dimensions is introduced in this article. Shapes of scatterers with an arbitrary complexity can be coded in the form of decision space vectors with varying sizes. The variable number of dimensions formulation of the problem is compared to a conventional approach that uses a regular grid of sub-domains and the optimization algorithm then searches for material properties of individual sub-regions. The influence of the investigation domain parameters like the signal to noise ratio of the measured field, or scatterer's material properties on the stability of the method is discussed in the paper.

中文翻译：

---

使用可变维数优化的微波成像

微波成像问题的解决方案通常由采用全局优化方法的系统提供，这些方法搜索所选研究领域的材料特性。本文介绍了一种基于变维数优化求解微波成像问题的新方法。具有任意复杂度的散射体形状可以以不同大小的决策空间向量的形式进行编码。将问题的可变维数公式与使用规则子域网格的传统方法进行比较，然后优化算法搜索各个子区域的材料特性。调查域参数的影响，如测量场的信噪比或散射体'