Lecture note on inverse problems and reconstruction methods
Numerical Analysis
2024-09-17 v2 Numerical Analysis
Abstract
The area of inverse problems in mathematics is highly interdisciplinary. In various fields of science, engineering, medicine, and industry, there arises a need to reconstruct information about unknown entities that cannot be directly observed. Examples include medical imaging techniques such as X-ray CT and optical tomography. Indeed, the mathematics of inverse problems has often originated from challenges posed by other fields. Inverse problems are often ill-posed and solutions are unstable. In this lecture, we will explore methods to solve such inverse problems.
Cite
@article{arxiv.2409.08505,
title = {Lecture note on inverse problems and reconstruction methods},
author = {Manabu Machida},
journal= {arXiv preprint arXiv:2409.08505},
year = {2024}
}