Dr. Sarah J. Hamilton

Dr. Sarah J. HamiltonMarquette University

Cudahy Hall, 355

MilwaukeeWI53201United States of America(414) 288-6343sarah.hamilton@marquette.eduPersonal Website

Associate Professor, Graduate Chair

Department of Mathematical and Statistical Sciences

Courses Taught

• Differential Equations
• Partial Differential Equations
• Applied Mathematical Analysis

Research Interests

• Inverse problems and nonlinear solution methods
• Applying deep learning methods to computational imaging
• Algorithm development for medical imaging, in particular Electrical Impedance Tomography

Publications

• W. Herzberg, A. Hauptmann, and S. J. Hamilton, Domain independent post-processing with graph U-nets: applications to electrical impedance tomographic imaging, Physiological Measurement, Nov. 2023.
• S. J. Hamilton, P. Muller, D. Isaacson, V. Kolehmainen, O Rajabi Shishvan, G. Saulnier, and J. Toivanen, Fast absolute 3D CGO-based electrical impedance tomography on experimental tank data, Physiological Measurement, 43(12400), 2022.
• W. Herzberg, A. Hauptmann, D. Rowe, and S. J. Hamilton, Graph Convolutional Networks for Model-Based Learning in Nonlinear Inverse Problems, IEEE Transactions on Computational Imaging, vol. 7, 2021.
• S. J. Hamilton, D. Isaacson, V. Kolehmainen, P. Muller, J. Toivanen, and P.F. Bray, 3D Electrical Impedance Tomography Reconstructions from Simulated Electrode Data using Direct Inversion tEXP and Calderón Methods, Inverse Problems & Imaging, 15(5), 2021.
• S.J. Hamilton, A. Hanninen, A. Hauptmann, and V. Kolehmainen, Beltrami-Net: Domain Independent Deep D-bar Learning for Absolute Imaging with Electrical Impedance Tomography (a-EIT), Physiological Measurement (Focus on Recent Advances in Electrical Impedance Tomography), 40(7), 2019.
• S.J. Hamilton, W.R.B. Lionheart, and A. Adler, Comparing D-bar and Common Regularization-based Methods for Electrical Impedance Tomography, Physiological Measurement (Focus on Recent Advances in Electrical Impedance Tomography), 40(4), 2019.
• M.M. Mellenthin, J.L. Mueller, E.D.L. Bueno de Camargo, F. Silva de Moura, T.B.R. Santos, R.G. Lima, S.J. Hamilton, P.A. Mueller, and M. Alsaker, The ACE1 Electrical Impedance Tomography System for Thoracic Imaging, IEEE Instrumentation and Measurement. 2018.
• S.J. Hamilton, J.L. Mueller, and T. Santos, Robust computation in 2D absolute EIT (a-EIT) using D-bar methods with the `exp’ approximation, Physiological Measurement (EIT issue), 39, 2018.
• S.J. Hamilton, and A. Hauptmann, Deep D-bar: Real Time Electrical Impedance Tomography Imaging with Deep Neural Networks, IEEE Transactions on Medical Imaging, Vol. 37, No. 10, October 2018.