- 担当教員
- 天谷 賢治
- 使用教室
- 金1-2(W832)
- 単位数
- 講義：1 演習：0 実験：0
- 講義コード
- 77006
- シラバス更新日
- 2012年9月21日
- 講義資料更新日
- 2012年9月21日
- 学期
- 後期
講義概要
In this course we will define inverse problems and discuss some general methodology for their solution. In particular we will focus on linear inverse problem. Using these tools, we will study some classic and modern inverse problems. About half of the course will be theoretical development and the other half will be application to specific problems.
講義の目的
This course will provides full details on a vriety of inverse problem-solving techniques, includes examples and algorithms.
講義計画
1. Introduction / Linear Algebra
2. Linear Inverse Problems
3. Probability
4. Singular value decomposition
5. Nonlinear inverse problems
6. Generalized Inverse
7. Least Squares (smoothness, weighting)
8. Maximum Liklihood and EM Algorithm
9. Baysian Estimation
10. Theory of the Computed Tomography
教科書・参考書等
""Inverse engineering hand book"" K.A.Woodbury, CRC Press
""Computed Tomography,"" J.Hsieh, SPIE Press
関連科目・履修の条件等
This class requires knowledge of fundamentals on the numerical analysis the signal processing in undergraduate levels.
成績評価
Evaluation will be based on the term-end examination.
