Početna stranicaVisoka učilištaKorisničke stranice
Analysis and Processing of Geodetic Measurements
Abbreviation: B23A06Load: 30(L) + 0(P) + 0(FE) + 0(LE) + 0(S) + 0(PEE) + 0(E) + 45(DE)
Lecturers in charge: prof. dr. sc. Nevio Rožić
Lecturers:
Course description:

Adoption of theoretical knowledge and empirical skills in analysis and processing of geodetic measurements.

Active empirical application of knowledge from analysis and processing of geodetic measurements in solving surveying tasks based on geodetic measurements data.


Learning outcomes at the level of the programme to which the course contributes
  • Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.
  • Use information technology in solving geodetic and geoinformation tasks.
  • Exercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.
  • Recognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution.
  • Communicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions
  • Take responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines, and for the development of interest in lifelong learning and further professional education.

Learning outcomes expected at the level of the course
  • Explain the basic principles, concepts, methods and procedures for analysis and processing of mutually independent geodetic measurements.
  • Use appropriate technical terminology related to the analysis and processing of geodetic measurements.
  • Understand the laws of theory of errors, mathematical statistics and probability theory in the analysis and processing of geodetic measurement errors.
  • Apply different criteria to assess the quality of geodetic measurements (precision, accuracy, reliability) and the criteria for evaluating the accuracy of mutually independent geodetic measurements.
  • Apply the laws of variances propagation, weights propagation and cofactors propagation in the case of one or more functions of geodetic measurements.
  • Apply adjustment of direct measurements in the three characteristic cases: classical direct measurements, multipe measured vectors and doube measurements.
  • Apply adjustment of indirect measurements in the forms of regular and singular adjustment.
  • Apply adjustment of conditional measurement.
  • Develop standardized geodetic elaborates depicting the results of analysis and processing of geodetic measurements.
  • Plan processing of geodetic measurements from the viewpoint of the volume and types of measurements, the use of appropriate mathematical model of measurement, the application of appropriate technological tools for the realization of processing and to optimize performance.

Course content broken down in detail by weekly class schedule (syllabus)

Lectures (15 weeks with two lecture hours per week):
  1. Overview of the teaching process methodology and implementation, an overview of the course theoretical content, an overview to the teaching performance and evaluation standards. Operational details necessary for the teaching.
  2. General introduction to the analysis and processing of geodetic measurements. Classification of geodetic and surveying measurements. Measuring processes. Matrix algebra and matrix algebra application for the analysis and processing of geodetic measurements.
  3. Theory of measurement errors. Relationship between theory of errors and probability theory and mathematical statistics. The quality of measurements and laws of individual and collective behavior of measurement errors.
  4. Laws of measurement errors propagation. The law of variances propagation, the law of weights propagation and the law of cofactors propagation in case of one or more direct measurement functions.
  5. Methods for measurements mathematical processing (adjustments) and classification of functional and stochastic models of geodetic measurements. Classical direct measurements and adjustment of classical direct measurement.
  6. Direct measurements in the form of multiple measured vectors and double measurements.
  7. Indirect measurement and regular adjustment of indirect measurements. Setting the functional and stochastic models, adjustment algorithm and its application to solving of standardized geodetic problems.
  8. Determination of indirect measurements accuracy criteria, including accuracy criteria of their derived functions. Control mechanisms in the adjustment algorithm.
  9. Singular adjustment of indirect measurements. Setting the functional and stochastic models and adjustment algorithm. The properties of functional model, datum and configuration defect. Application of the pseudoinverse.
  10. Application of the indirect measurements in different surveying tasks, focusing on explicit empirical realization of the theoretical principles of formulating appropriate functional and stochastic models.
  11. Conditional measurement and adjustment of conditional measurement. Setting the functional and stochastic models of conditional measurement, adjustment algorithm and its application to solving standardized geodetic problems.
  12. Conditional measurement accuracy criteria, including accuracy criteria of their derived functions. Control mechanisms in the adjustment algorithm.
  13. Application of conditional measurement adjustmet in surveying tasks, focusing on explicit empirical implementation of the theoretical principles of formulating appropriate functional and stochastic models.
  14. Summary of the course theoretical content and preparation for final exam.
  15. Review and analysis of the results of the teaching process.

Exercises (15 weeks, 3 excercise hours per week):
  1. Overview of the teaching process methodology and implementation, an overview of the course exercises content, an overview to the teaching performance, evaluation standards and operational details necessary for the exercises.
  2. Empirical exercise no. 1: Application of matrix algebra operations in measurement adjustment algorithms.
  3. Empirical exercise no. 2: Application of Cholesky method in order to invert the symmetric regular matrix, as an integral part of the normal equations solving method.
  4. Project no. 1: Application of variances propagation, weights propagation and cofactors propagation law in the event of one or more functions of geodetic measurements.
  5. Project no. 2: Adjustment of classical direct measurements, multiple measured vectors and double measurements.
  6. Colloquium no. 1: The empirical application of the law of variances propagation, weights propagation, cofactors propagation and adjustments of direct measurements.
  7. Project no. 3: Regular adjustment of indirect measurements - trilateration network.
  8. Project no. 4: Regular adjustment of indirect measurements - triangulation network.
  9. Project no. 5: Singular adjustment of indirect measurements - levelling network.
  10. Colloquium no. 2: Empirical application of regular and singular adjustment of indirect measurements.
  11. Project no. 6: Adjustment of conditional measurements - triangulation network.
  12. Project no. 7: Adjustment of conditional measurement - trilateration network.
  13. Colloquium no. 3 Empirical application of adjustment of conditional measurement.
  14. Summary of the course empirical content and preparation for examinations.
  15. Review and analysis of the results of the exercises teaching process.

Screening student work
  • Class attendance - 1 ECTS
  • Tests - 1 ECTS
  • Oral exam - 1 ECTS
  • Written exam - 1 ECTS
  • Project - 1 ECTS
Lecture languages: - - -
Compulsory literature:
1. Feil, L.: Teorija pogrešaka i račun izjednačenja - 1. dio. Geodetski fakultet Sveučilišta u Zagrebu, Zagreb, 1989.
2. Feil, L.: Teorija pogrešaka i račun izjednačenja - 2. dio. Geodetski fakultet Sveučilišta u Zagrebu, Zagreb, 1990.
3. Rožić, N.: Računska obrada geodetskih mjerenja. Geodetski fakultet Sveučilišta u Zagrebu, Zagreb, 2007.
Recommended literature:
4. Čubranić, N.: Teorija pogrešaka s računom izjednačenja. Liber, Zagreb, 1980.
5. Klak, S.: Teorija pogrešaka i račun izjednačenja. Liber, Zagreb, 1982.
Prerequisit for enrollment:
Passed : Analytical Geometry and Linear Algebra
Completed : Basics of Statistics
Passed : Vector Analysis
Passed : Land Surveying
Passed : Mathematical Analysis
Legend
L - Lectures
P - Practicum
FE - Field exercises
LE - Laboratory exercises
S - Seminar
PEE - Physical education excercises.
E - Exercises
DE - Design exercises
* - Not graded
Copyright (c) 2006. Ministarstva znanosti, obrazovanja i športa. Sva prava zadržana.
Programska podrška (c) 2006. Fakultet elektrotehnike i računarstva.
Oblikovanje(c) 2006. Listopad Web Studio.
Posljednja izmjena 2018-10-09