NA: Reconstruction methods for very noisy Electron Tomography data
Development of numerical methods for inverse problems in structural biology.
In structural biology, Transmission Electron Microscopes are applied to gain insight into the three-dimensional structure of subcellular units on a length scale of few nanometers. Due to low contrast and high radiation sensitivity of biological specimens, data are typically very noisy. This makes the inverse problem of reconstructing the 3d structure from a series of such noise-contaminated 2d projections very hard and requires sophisticated regularization methods. The goal of this project is to develop and evaluate numerical methods which can help foster the discovery of previously unknown biological relations.
 D. Fanelli and O. Öktem. Electron tomography: a short overview with an emphasis on the absorption potential model for the forward problem. Inverse Problems, 24(1):013001, 2008.
 H. Kohr and A. K. Louis. Fast and high-quality reconstruction in electron tomography based on an enhanced linear forward model. Inverse Problems, 27(4):045008, 2011.
 E. T. Quinto and O. Öktem. Local tomography in electron microscopy. SIAM J. Appl. Math., 68(5):1282-1303, 2008.