+30 2310 996125 tziavos@topo.auth.gr


The Laboratory of Gravity Field Research and Applications (GravLab) offers and participates in courses of both the Undergraduate and Gradaute Programs of the School of Rural and Surveying Engineering.

Α01 Surveying Instruments and Measurement Techniques

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses11524

Introduction to Surveying. Surveying Control networks. Instruments and methods for measurements of angles, distances and altitudes. Developments in technology of instrumentation and measurements.

Instructors: D Tsoulis, VN Grigoriadis

Υ05 Geoinformation Ι

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses11542

This is an introductory lesson to fundamental programming principles, which are necessary for the development of geoinformation systems, scientific applications and programs for all fields of expertise of a surveyor engineer. The programming language used throughout the course is Microsoft Visual Basic along with the integrated development environment of Microsoft Visual Studio.

Instructors: VN Grigoriadis, V Tsioukas

Α02 Engineering Surveys

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses21542

The topographic space and imagery. Designations surveying benchmarks. Rectangular and polar coordinates. Fundamental problems. Designations topographic points with incisions. Intersection. Resection. Problem Hansen. Polygonometria. Mapping points of detail. Orizontiografiki and elevation display the details. Topographic charts. Cadastral, hydrographic surveying and underground. Realising the topographic to calculate the areas and volumes. diagram to calculate the areas and volumes. Syntax Topographical Chart scale 1:200 in area of ​​about 15 acres.

Instructors: S Spatalas, GS Vergos, VN Grigoriadis, Ch Pikridas

Υ33 Geoinformation IΙ

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses21521

Operating systems with emphasis on Windows. File structures and data bases. Structured programming with emphasis on managing large data files. Functions and subprograms. Internal functions and build dynamic libraries (DLL). Exercises programming syntax algorithms solving the scientific areas of ATM.

Instructors: V Tsioukas, VN Grigoriadis

Α27 Potential Theory

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses3254

Vector Calculus, Causs theorem. Green identities, Stokes’ theorem. Curvilinear orthogonal coordinates. Force field – Potential. Integral theorems of potential theory. Representation of attracting potential by means of spherical and ellipsoidal harmonics.

Instructor: D Tsoulis

Α28 Signals and Spectral Methods in Geoinformatics

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective9563

Fourier series in the plane and sphere. Direct and inverse Fourier transform in one and more dimensions. Fundamentals, properties and theorems of Fourier analysis. Power and energy signals, linear systems and filters. Discrete Fourier transforms and their numerical computations. Hanker and Hartley transforms. Introduction to wavelets. Application of Fourier analysis to Geoinformatics.

Instructors: IN Tziavos, GS Vergos

Α04 Introduction to Gravity Field

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCore Courses4244

Newtonian attractive field. Earth gravity field and its components. Local and geocentric reference system. Gravity anomalies and reduction. Height systems. Spherical harmonics and geopotential models. The geoid. Geoid approximations with terrestrial and satellite data. Levelling with geoid heights and GPS heights.

Instructors: IN Tziavos, GS Vergos, VN Grigoriadis

Α23 Field Application of Layout Plans and Surveying Practice

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCore Courses6343

Basic problems of Field Application of Layout Plans and Surveying Practice. Applications to the scientific field of Rural and Surveying Engineering (RSE) in the frame of field measurements and a practical project. Understanding of surveying problems and adjustment theory for applications in layout plans. Fundamental legislation of RSE layout plans for building construction, city plans and networks.

Instructors: S Spatalas, GS Vergos, V Tsioukas, K Tokmakidis

Υ12 Field Surveying Exercises

OrientationAttendance TypeSemesterYearECTSTheoryLab
CoreCompulsory Courses8468

Installation, measurement and calculation of topographic control networks. Use of maps and aerial photographs outdoors. Identification and marking of photostable. Gathering information about the uses and land values​​. Surveying. Processing and visualization of topographic data. Topographic diagramms. Editing of cadastral and GIS data and information on the uses and land values​​.

Instructors: S Spatalas, GS Vergos, V Tsioukas, VN Grigoriadis, Ch Pikridas, Χ Κωτσάκης, D Tsoulis

Α12 Hydrography and Marine Geodesy

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective7453

Hydrography and marine geodesy. Connections with other sciences. Nautical map and navigations. Physical oceanography. Satellite altimetry. Marine geoid. Radiowaves and radiolocation. Horizontal position determination at sea. Positioning algorithms. Radiosystems and GPS. Depth determination. Echosounding instrumentation. Offshore hydrographic applications. Instrumentation and methodology. Automatic hydrographic surveying.

Instructors: IN Tziavos, VN Grigoriadis

Α16 Gravimetry

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective7453

The Earth’s gravity field. Gravity measurements – Gravimeters – Gravity networks – Second order derivatives of the gravity potentials. Earth tides. The geodetic importance of gravity anomalies. Gravity reductions and isostasy. The statistical description of the gravity field. The importance of gravity anomalies to geophysical prospecting. High accuracy gravity networks. The contribution of gravity measurements in geodynamics.

Instructor: GS Vergos

Α15 Physical Geodesy

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective8463

The boundary value problems and the geoid. The gravity field and the disturbing potential. Legendre polynomial and functions. Spherical harmonics. Digital terrain models and topographic reductions. Integral, stochastic and spectral methods for the determination of gravity field components. The geoid in a local, regional and global scale. The geoid and the unification of height systems. Molodensky’s problem. Airborne gravity and gradiometry. Satellite altimetry.

Instructor: ΗΝ Τζιαβός

Α30 GPS Applications

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective9563

The permananent GPS networks in Greece and its applications on Geodesy and Surveying. The case of Hermes network and other private existed networks. Knowledge of the Real time network techniques in the field and the related coordinates transformations to the Greek Datums.

Instructors: IN Tziavos, Ch Pikridas, D Rossikopoulos

Α36 Space Geodesy and Applications

OrientationAttendance TypeSemesterYearECTSTheoryLab
Geodesy and SurveyingCompulsory Elective9563

Basic definitions of geodetic and geodynamic parameters of the system Earth. Elements of orbit theory. Principles, method of data acquirement and data analysis and fields of application of current satellite systems and dedicated satellite gravity missions (InSAR, SLR, VLBI, CHAMP, GRACE, GOCE). Global digital elevation and crustal models and their role in gravity field modeling. Interdisciplinary applications of current geodetic data.

Instructor: D Tsoulis

ΓΠ0110 Advanced technologies in Geodesy and Surveying

OrientationAttendance TypeSemesterYearECTSTheoryLab
High-Accuacy Surveying ApplicationsCompulsory1184
Modern Geodetic ApplicationsCompulsory1184

Global Positioning System (GPS), Inertial Systems, Laser systems, interferometric systems. Gravimeters, satellite altimeters, satellite gradiometers. Total stations. 3D surveys. Technical specifications of the instruments. Surveys using surveying and photogrammetric instruments. Special topics of high precision surveying. Writing of project assignments.

Διδάσκοντες: Δ Τσούλης, Σ Σπαταλάς

ΓΠ0112 GPS Applications

OrientationAttendance TypeSemesterYearECTSTheoryLab
High-Accuacy Surveying ApplicationsCompulsory1184
Modern Geodetic ApplicationsCompulsory1184

Introduction in GPS. Mathematical models and observation equations. Measurement techniques in static and kinematic methods. Measurement and solution of a GPS baseline.Measurement and adjustment of a GPS network. Reduction of observations and coordinate transformation. Hydrographic applications. Project assignment.

Instructors: K-V Katsampalos, IN Tziavos, Ch Pikridas, A Fotiou

ΓΠ0113 Seminars on background material

OrientationAttendance TypeSemesterYearECTSTheoryLab
High-Accuacy Surveying ApplicationsCompulsory1164
Modern Geodetic ApplicationsCompulsory1164

The students attend 10 to 11 lectures given by staff members of the Department of Geodesy and Surveying, School of Rural and Surveying Engineering, Aristotle University of Thessaloniki, in cutting-edge reserach topics of geodetic science. Each student should finally prepare two extensive scientific reports including literature review and results based on their investigation , either in the scientific areas covered by the lectures or in the wider research area of geosciences.

Instructor: IN Tziavos

ΓΠ0217 Gravity Field and GPS/Leveling

OrientationAttendance TypeSemesterYearECTSTheoryLab
Modern Geodetic ApplicationsCompulsory,,2,1,"7,5",4217.54

Boundary value problems in physical geodesy, stochastic and spectral treatment of Stokes’ integral. Level surfaces of the geoid and the reference ellipsoid. Spectral analysis of geopotential models from CHAMP, GRACE and GOCE through spherical approximations of the degree variances and error degree variances. Vertical datum unification and determination of a common Wo. The contribution of GRACE data to water mass change modeling and detection.

Διδάσκοντες: IN Tziavos, GS Vergos, D Tsoulis

ΓΠ0216 Spectral and Stochastic Methods

OrientationAttendance TypeSemesterYearECTSTheoryLab
Modern Geodetic ApplicationsCompulsory217,54

Fourier and Hartley transforms in the plane and on the sphere. Hankel and Radon transforms. The input-output systems and their spectral representation. Parametric least-squares collocation. The Earth’s gravity field and its stochastic approximation. Combination of spectral and stochastic methods for applications in geosciences. Spectral analysis on the sphere. Spherical harmonic analysis and synthesis. Isostasy and gravity field. Spectral and hybrid methods in topographic mass modeling.

Διδάσκοντες: IN Tziavos, D Tsoulis, VN Grigoriadis

ΓΠ0219 Seminars in specialized geodetic applications

OrientationAttendance TypeSemesterYearECTSTheoryLab
Modern Geodetic ApplicationsCompulsory217,54

Within the frame of the course, each student is assigned a term project which involves extensive bibliographic research, analysis of the theoretical background and presentation of the results. The final goal is the preparation of a technical report on the project results and their presentation.

Instructors: IN Tziavos, GS Vergos, D Tsoulis, VN Grigoriadis