Fast inverse solver for magnetic image using time marching scheme with regularization of bounded variations
Fast inverse solver for magnetic image using time marching scheme with regularization of bounded variations
复制标题
使用具有有界变化正则化的时间推进方案的磁图像快速逆求解器
DOI：
10.11499/sicep.2003.0_62_3
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
K. Ito
中科院分区：
文献类型：
--
作者：
F. Kojima;D. Yorifuji;K. Ito
考虑了恢复由于裂纹的存在而产生的感应磁场的计算方法。裂纹的存在可以作为一组磁偶极子来检测，并且可以通过磁测量来重建该磁荷密度。在实际磁测量中，严重的不适定问题是由观测噪声引起的。使用具有有界变化正则化的输出最小二乘法，将问题转化为适定微分积分方程。提出了一种使用离散傅里叶变换的快速计算算法。因此，通过在迭代求解器中对卷积应用快速傅里叶变换，可以实现主要的计算节省。实验上，它显示了我们的迭代求解器与无噪声应用 FFT 和不使用 FFT 的计算时间的比较。
A computational method for recovering induced magnetic fields due to the existence of cracks are considered. The crack existence can be detected as a sets of magnetic dipoles and the reconstruction of this magnetic charge densities can be done from the magnetic measurement. In practical magnetic measurements, the severe ill-posed problem is caused by the observation noise. The problem is transformed into a well-posed differential-integral equation using output least squares approach with a regularization of bounded variation. A fast computation algorithm is proposed using discrete Fourier transform. Hence the major computational saving can be achieved by applying fast Fourier transform to the convolution in our iterative solver. Experimentally, it has shown the comparison of the computational time for our iterative solver with noise free applying FFT and without FFT.