A novel algorithm based on L1-Lp norm for inverse problem of electromagnetic tomography
作者： Xianglong Liu , Ze Liu
DOI: 10.1016/J.FLOWMEASINST.2019.01.010
关键词: Regularization (mathematics) 、 Image resolution 、 Optimization problem 、 Algorithm 、 Iterative reconstruction 、 Inverse problem 、 Tomography 、 Tikhonov regularization 、 Computer science 、 Iterative method
摘要: Abstract Electromagnetic tomography (EMT) is a novel imaging modality of electrical tomography, which appears to be very promising. The precision and speed image reconstruction algorithms EMT are the keys its application in industrial biomedical fields. Image typical ill-posed ill-conditioned inverse problem. Following analyzing advantages disadvantages traditional Tikhonov regularization algorithm total variation algorithm, new objective functional introduced with L1 norm on data term Lp this paper, transforms problem into an optimization Besides, L1-Lp framework solved by approximation Gauss-Newton algorithm. Both numerical simulation experimental results demonstrate that proposed capable enhancing spatial resolution. It also proves has better performance terms patterns, compared such as linear back projection (LBP), standard projected Landweber iterative
sci-hub.se 参考文章(27)
Xizi Song, Yanbin Xu, Feng Dong, A hybrid regularization method combining Tikhonov with total variation for electrical resistance tomography Flow Measurement and Instrumentation. ,vol. 46, pp. 268- 275 ,(2015) , 10.1016/J.FLOWMEASINST.2015.07.001
Ze Liu, Wen Li, Fangqi Xue, Junyan Xiafang, Bin Bu, Zheng Yi, Electromagnetic Tomography Rail Defect Inspection IEEE Transactions on Magnetics. ,vol. 51, pp. 1- 7 ,(2015) , 10.1109/TMAG.2015.2430283
Robert Merwa, Karl Hollaus, Oszkar Biró, Hermann Scharfetter, Detection of brain oedema using magnetic induction tomography: a feasibility study of the likely sensitivity and detectability. Physiological Measurement. ,vol. 25, pp. 347- 354 ,(2004) , 10.1088/0967-3334/25/1/038
N Terzija, W Yin, G Gerbeth, F Stefani, K Timmel, T Wondrak, A J Peyton, Use of electromagnetic induction tomography for monitoring liquid metal/gas flow regimes on a model of an industrial steel caster Measurement Science and Technology. ,vol. 22, pp. 015501- ,(2011) , 10.1088/0957-0233/22/1/015501
W Yin, A J Peyton, A planar EMT system for the detection of faults on thin metallic plates Measurement Science and Technology. ,vol. 17, pp. 2130- 2135 ,(2006) , 10.1088/0957-0233/17/8/011
Ze Liu, Guoyin Yang, Nan He, Xiaoying Tan, Landweber iterative algorithm based on regularization in electromagnetic tomography for multiphase flow measurement Flow Measurement and Instrumentation. ,vol. 27, pp. 53- 58 ,(2012) , 10.1016/J.FLOWMEASINST.2012.04.011
Jianna Hao, Wuliang Yin, Qian Zhao, Kai Xu, Guang Chen, Preconditioning of projected SIRT algorithm for electromagnetic tomography Flow Measurement and Instrumentation. ,vol. 29, pp. 39- 44 ,(2013) , 10.1016/J.FLOWMEASINST.2012.10.007
K Hollaus, C Magele, R Merwa, H Scharfetter, Fast calculation of the sensitivity matrix in magnetic induction tomography by tetrahedral edge finite elements and the reciprocity theorem Physiological Measurement. ,vol. 25, pp. 159- 168 ,(2004) , 10.1088/0967-3334/25/1/023
Lu Ma, Manuchehr Soleimani, Hidden defect identification in carbon fibre reinforced polymer plates using magnetic induction tomography Measurement Science and Technology. ,vol. 25, pp. 055404- ,(2014) , 10.1088/0957-0233/25/5/055404
S Liu, L Fu, W Q Yang, Optimization of an iterative image reconstruction algorithm for electrical capacitance tomography Measurement Science and Technology. ,vol. 10, ,(1999) , 10.1088/0957-0233/10/7/102