Learning Outcomes
The aim of this course is to provide, at an introductory level, the necessary knowledge for the pre-analysis and adjustment of field observations in surveying and geodetic networks for the purpose of estimating station coordinates. The course covers all cases of static networks in different spatial dimensions (1D, 2D, 3D) with particular emphasis on the datum definition problem through selected constraints as well as on the quality evaluation process in network adjustment solutions.
After the successful completion of this course, the students will have the essential skills to deal with the following topics of the Geomatics Engineering profession:
- Understand the main principles and practical aspects related to the pre-analysis and modeling of field observations for network adjustment problems.
- Apply constrained least squares algorithms to estimate station coordinates in control networks.
- Use of statistical tools to analyze the precision level of estimated coordinates in control networks.
- Compute network densification solutions under different options and assess their relative quality.
- Implement statistical tests for checking the reliability of network solutions and proceed with proper interpretation of their results.
Course Content (Syllabus)
The course content is organized in the following sections:
1) Review of least squares adjustment theory
2) Introduction to networks
3) Pre-analysis of network observations
4) Mathematical and stochastic models for network analysis
5) Network adjustment process
6) Network normal equations and the datum choice problem
7) Algorithmic techniques for network adjustment problems
8) Densification of surveying and geodetic networks
9) Accuracy analysis in network adjustment solutions
10) Quality control and statistical testing of network adjustment solutions
11) Applications, practical examples and case studies
Keywords
surveying and geodetic networks, pre-analysis of field observations, network adjustment, coordinate reference system, datum constraints, network densification, network quality control
Course Bibliography (Eudoxus)
1) Τοπογραφικά Δίκτυα και Υπολογισμοί, Δ. Ρωσσικόπουλος, Εκδ. Ζήτη.
2) Τοπογραφικοί Υπολογισμοί και Συνορθώσεις Δικτύων (ανάλυση προγραμμάτων και παραδείγματα), Α. Δερμάνης, Δ. Ρωσσικόπουλος, Α. Φωτίου, Εκδ. Ζήτη.
Additional bibliography for study
1) Strang G., Borre K. (1997) Linear algebra, Geodesy and GPS. Wellesley-Cambridge Press, Wellesley, MA.
2) Ghilani C.D. (2010) Adjustment computations & spatial data analysis. John Wiley & Sons, Inc., Hoboken, New Jersey.
3) Kuang S. (1996) Geodetic network analysis and optimal design: concepts and applications. Ann Arbor Press, Ιnc. Chelsea, Michigan.
4) Leick A. (2004) GPS satellite surveying. John Wiley & Sons, Inc., Hoboken, New Jersey.
5) Grafarend E.W., Sanso F. (eds. 1985) Optimization and design of geodetic networks. Springer-Verlag, Berlin Heidelberg.