A Fast Barzilai-Borwein Gradient Projection for Sparse Reconstruction Algorithm Based on 3D Modeling: Application to ERT Imaging

oleh: Shouxiao Li, Huaxiang Wang, Tonghai Liu, Ziqiang Cui, Joanna N. Chen, Zihan Xia

Format: Article
Diterbitkan: IEEE 2021-01-01

Deskripsi

Image reconstruction for electrical resistance tomography (ERT) is an ill-posed inverse problem. L<sub>1</sub> regularization is used to solve the inverse problem. An effective method of Barzilai-Borwein gradient projection for sparse reconstruction (GPSR-BB) can resolve the inverse problem into bound-constrained quadratic programming and achieve a gradient projection with line search. However, it is computationally expensive to solve the problem when the data dimension is substantial. Hence, a projection method is employed and combined with the GPSR-BB algorithm to improve the real-time performance. The problem can be mainly solved in the Krylov subspace. For comparison, another L<sub>1</sub> regularization GPSR-BB method based on the truncated singular value decomposition is also conducted. Both simulation (with 3D modeling) and experimental results demonstrate the new method&#x2019;s effectiveness in reducing the computational time and improving the image quality.