SELECTIVE MINIMUM-NORM SOLUTION OF THE BIOMAGNETIC INVERSE PROBLEM
SELECTIVE MINIMUM-NORM SOLUTION OF THE BIOMAGNETIC INVERSE PROBLEM
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DOI：
10.1109/10.387200
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发表时间：
1995-06-01
影响因子：
4.6
通讯作者：
OKABE, Y
中科院分区：
文献类型：
--
作者：
MATSUURA, K;OKABE, Y
提出了一种新的多偶极子估计方法，它给出了生物磁逆问题的稀疏解，这个解是从线性无关数据方程的基本可行解中提取出来的，这些可行解是通过选择与磁传感器数目完全相同的偶极矩来获得的。通过改变选择，我们搜索所选择的矩的最小范数向量，从而得到一个实用的稀疏解；关于L(P)范数(p=2，1，0.5，0.2)的计算机模拟解在真实源偶极子附近有少量的有效矩，特别是L(1)范数的解等价于原始反问题的最小L(1)范数解，该解可以用线性规划唯一地计算。
A new multidipole estimation method which gives a sparse solution of the biomagnetic inverse problem is proposed, This solution is extracted from the basic feasible solutions of linearly independent data equations, These feasible solutions are obtained by selecting exactly as many dipole-moments as the number of magnetic sensors. By changing the selection, we search for the minimum-norm vector of selected moments, As a result, a practically sparse solution is obtained; computer-simulated solutions for L(p)-norm (p = 2, 1, 0.5, 0.2) have a small number of significant moments around the real source-dipoles, In particular, the solution for L(1)-norm is equivalent to the minimum-L(1)-norm solution of the original inverse problem, This solution can be uniquely computed by using Linear Programming.