變形測量理論
Deformation Surveying
| 節 | 週五 |
|---|---|
2 09:00–09:50 | 變形測量理論 EB404 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
Deformation monitoring, in a generalized point of view, can be interpreted as the technique to locate and analyze elusive signals obscured in environmental or observational noises. This course will place emphasis on geodetic applications either in engineering or scientific researches. Statistical theorems associated with the titled issue will be introduced to the details so that students can have the clear picture conceptually to handle the task of stochastic data processing, and the ability to develop decent tool to deal with the problems encountered in the future. Meanwhile, several examples will be presented in the class as well to serve as the supplementary guide helping students get a better idea about this subject. As the technology evlolutes, constantly monitored deformation data are possible nowadays. Time series analysis would be the tool to elaborate small signals hidden in noise over a significant long period temporal interval. This lecture will adress some introduction for radndom process including the topics of optimal prediction such as Kriging/ collocation, spectrum techniques/Fourier series.
fundamental adjustment linear algebra
- Review of Gauss Markov Model, Least squared parameter estimation, and relevant theorems
- Best linear uniformaly unbiased estimator
- error ellipse, confidence ellipse
- datum deficiency
- Gauss Markov model with constraints
| 週次 | 主題 |
|---|---|
| 第 1 週 | review of Gauss Markov model |
| 第 2 週 | Best linear uniformly unbiased estimator |
| 第 3 週 | Error ellipse, confidence ellipse datum deficiency and split of parameter vector |
| 第 4 週 | review |
| 第 5 週 | Gauss Markov Model with constraints (full rank design matrix) BLUUE of unknown vector, unbiased predictor for error vector, and their dispersion. |
| 第 6 週 | Rank deficient Gauss Markov model with constraints. General Inverse Symmetrical general inverse Reflexive general inverse |
Parameter Estimation and Hypothesis Testing in Linear Models by K.R. Koch, Springer 1997 Concepts of Network and Deformation Analysis by W. F. Caspary, School of Surveying, the University of New South Wales, Australia (1988).