Course detail

Geodesy 3

FAST-BEA010Acad. year: 2025/2026

Theoretical principals and application of transformations in plane and space. Trigonometrical measurement of height differences. Centering of directions and distances. Principles, Measurement and processing of GNSS (GPS, GLONASS etc.). Special directional measurement – gyroskopic and magnetic measurement. Survey of underground line and object, including their location.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

prof. Ing. Viliam Vatrt, DrSc.

Department

Institute of Geodesy (GED)

Entry knowledge

Fundamental knowledge of mathematics, geometry and physics. Knowlendge of basic geodetic measurement and computation.

Rules for evaluation and completion of the course

Verification of knowledge and skills takes place in exercises. Students are motivated to continuous study even during the lessons. The teacher repeatedly emphasizes essential profile information. The exam is carried out in the form of a test as well as in writing. Evaluation is carried out according to valid principles with a set scale of evaluation.


Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Getting an overview of problems in transformation. Acquaintance with basic principles and methods of measurement and orientation of geodetic networks. Gyroskopic and magnetic measurement. Basic methods of space geodesy.
Student gets overview of transformation, acquaintances with basic principles and methods of measurement and orientation of geodetic networks, gyroskopic and magnetic measurement and basic of space geodesy.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Nevosád, Z., Vitásek,J.: Geodézie III. Průvodce předmětem Geodézie III, VUT v Brně, 2005. (CS)

Recommended reading

Kratochvíl, V., Fixel, J.: Globální systém určování polohy – GPS. Využití v geodézii. VA v Brně, 2001. (CS)
Kratochvíl, V.: Polohové geodetické sítě – aplikace MNČ a transformace. VA v Brně, 2000. (CS)
Nevosád, Z., Vitásek, J.: Geodézie III. VUT v Brně, Vutium, 2000. (CS)

Classification of course in study plans

  • Programme BPC-GK Bachelor's 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Viliam Vatrt, DrSc.

Syllabus

  • 1. Trigonometric leveling. Geometrical leveling (presice leveling, very precise leveling).
  • 2. Two-dimensional conformal transformation. Calculation of transformation parameters by LSQ adjustment.
  • 3. Helmert's, affine and projective transformations. Correction transformed coordinates weighted average method.
  • 4. Three-dimensional conformal transformation. Rotating matrices. Calculation of transformation parameters by LSQ adjustment.
  • 5. Basics of GNSS – GPS, GLONAS and more.
  • 6. GNSS signals, navigation message correction measurements.
  • 7. Equation of the code and phase measurements. Solution of the autonomous positioning.
  • 8. Differential and linear combinations of code and phase measurements – principles and purpose.
  • 9. Differential GNSS systems, GNSS Applications.
  • 10. Selected methods of orientation – gyro measurements. Conversion of azimuth into bearing.
  • 11. Selected methods of directional orientation – magnetic measurements.
  • 12. Finding the points with known coordinates in terrain.
  • 13. Further development of technologies in geodesy.

Exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Ladislav Bárta, Ph.D.
Ing. Ondřej Vystavěl

Syllabus

  • 1. Trigonometric leveling 1.
  • 2. Trigonometric leveling 2.
  • 3. The calculation parameters conformal and Helmert transformation LSQ adjustment.
  • 4. The calculation parameters conformal and Helmert transformation LSQ adjustment.
  • 5. Equipment for GNSS.
  • 6. Static, rapid static and stop and go method of GPS measuring 1.
  • 7. Static, rapid static and stop and go method of GPS measuring 2.
  • 8. Processing static and stop and go measurements – 1.
  • 9. Processing static and stop and go measurements – 2.
  • 10. Real-time measurement.
  • 11. Gyroscophics azimuth.
  • 12. Finding the lost points with known coordinates.
  • 13. Credit.