Paper ID | IMT-CIF-2.7 | ||
Paper Title | Low-Rank Tensor Regression for X-Ray Tomography | ||
Authors | Sanket R. Jantre, Michigan State University, United States; Zichao Wendy Di, Argonne National Lab, United States | ||
Session | IMT-CIF-2: Computational Imaging 2 | ||
Location | Area I | ||
Session Time: | Wednesday, 22 September, 14:30 - 16:00 | ||
Presentation Time: | Wednesday, 22 September, 14:30 - 16:00 | ||
Presentation | Poster | ||
Topic | Computational Imaging Methods and Models: Sparse and Low Rank Models | ||
IEEE Xplore Open Preview | Click here to view in IEEE Xplore | ||
Abstract | Tomographic imaging is useful for revealing the internal structure of a 3D sample. Classical reconstruction methods treat the object of interest as a vector to estimate its value. Such an approach, however, can be inefficient in analyzing high-dimensional data because of the underexploration of the underlying structure. In this work, we propose to apply a tensor-based regression model to perform tomographic reconstruction. Furthermore, we explore the low-rank structure embedded in the corresponding tensor form. As a result, our proposed method efficiently reduces the dimensionality of the unknown parameters, which is particularly beneficial for ill-posed inverse problem suffering from insufficient data. We demonstrate the robustness of our proposed approach on synthetic noise-free data as well as on Gaussian noise-added data. |