论文标题
基于平面中Calderón方法的各向异性逆电导率问题的直接重建算法
A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón's method in the plane
论文作者
论文摘要
提出了一种基于Calderón的线性化方法用于重建各向同性电导率的直接重建算法，以二维的各向异性电导率提出。为了克服各向异性逆电导率问题的非唯一性，假定已知不受干扰的各向异性张量的条目已知\ emph {a先验{a先验}，并且仍然是重建多样性标量。飞机上的准形式图促进了基于Calderón各向异性电导率的方法。该方法在高和低对比度的不连续的径向对称电导率上得到了证明。
A direct reconstruction algorithm based on Calderón's linearization method for the reconstruction of isotropic conductivities is proposed for anisotropic conductivities in two-dimensions. To overcome the non-uniqueness of the anisotropic inverse conductivity problem, the entries of the unperturbed anisotropic tensors are assumed known \emph{a priori}, and it remains to reconstruct the multiplicative scalar field. The quasi-conformal map in the plane facilitates the Calderón-based approach for anisotropic conductivities. The method is demonstrated on discontinuous radially symmetric conductivities of high and low contrast.
