Imaging Inverse Problems
Deconvolution, CT, MRI reconstruction, and plug-and-play priors.
Imaging Inverse Problems. Deconvolution, CT, MRI reconstruction, and plug-and-play priors.
Foundations and canonical references
The standard treatments of imaging inverse problems approach the subject from complementary angles. Natterer, Mathematical Methods in Image Reconstruction (2001) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Scherzer, Variational Methods in Imaging (2008) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for imaging inverse problems include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2001Mathematical Methods in Image Reconstructionnatterer-2001, wubbeling-2001
- textbook · primary · 2008Variational Methods in Imagingscherzer-2008
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