Short articles that connect the topics of the wiki. Each follows one thread through several chapters and links to the detailed articles along the way.
- From Physics to Linear Algebra: from the conductivity equation to the sparse linear systems that are actually solved.
- Anatomy of an EIT Reconstruction: the pieces of an iterative reconstruction and how they fit together.
- Choosing a Linear Solver: direct factorisations, preconditioned Krylov methods and fast transforms, and when each one fits.
- Choosing an Optimizer: Gauss–Newton, quasi-Newton and proximal methods, depending on the objective and the regulariser.
- Classical and Learned Priors: from Tikhonov and total variation to denoisers and diffusion models.
For a guided entry, see the reading paths on the start page.
References
- J. L. Mueller, S. Siltanen (2012). Linear and Nonlinear Inverse Problems with Practical Applications. SIAM. doi:10.1137/1.9781611972344
- A. Adler, D. Holder (eds.) (2021). Electrical Impedance Tomography: Methods, History and Applications, 2nd ed. CRC Press. doi:10.1201/9780429399886