PhD Subjects
Advanced Mathematical Methods in Geodesy BMEEOAFD001 Dr. Gyula Tóth
Physical and Theoretical Geodesy BMEEOAFD002 Dr. Lajos Völgyesi
Dynamic Methods in Geodetic Application of Artifical Earth's Satellites BMEEOAFD003 Dr. József Ádám - Dr. Lóránt Földváry -Dr. Gyula Tóth
Earth Science Foundations of Geodesy BMEEOAFD004 Dr. Péter Biró - Dr. Lajos Völgyesi
Geophysical Bases of the Earth' Models BMEEOAFD005 Dr. Péter Varga
Theory and Practice of the Reference Systems in Geodesy BMEEOAFD006 Dr. József Ádám - Dr. József Varga
Cadastre Information Systems BMEEOAFD007 Dr. Ferenc Sárközy - Dr. Zoltán Siki
Spatial Data Models and Databases BMEEOAFD008 Dr. Ferenc Sárközy - Dr. Zoltán Siki
Global Navigation Satellite Systems (GNSS) BMEEOAFD009 Dr. Szabolcs Rózsa - Dr. Bence Takács
New Space Positioning Systems BMEEOAFD010 Dr. József Ádám - Dr. István Fejes - Dr. Lóránt Földváry
GIS Systems for Buildings BMEEOAFD011 Dr. László Kis Papp
Integrated Surveying Systems BMEEOAFD012 Dr. Szabolcs Rózsa - Dr. Bence Takács
Automated Surveying in Engineering Geodesy BMEEOAFD013 Dr. Ferenc Sárközy - Dr. Károly Dede
Usage and Development of Internet Applications in the Engineering Practice BMEEOAFD014 Dr. Zoltán Siki

Advanced Mathematical Methods in Geodesy
BMEEOAFD001
(Dr. Gyula Tóth)

Computer algebra and numerical matrix systems. Advanced methods in linear algebra. Ill-conditioned problems. Singular value decomposition. Sparse matrix factorization. QR factorization and the method of least squares. Advanced geometrical methods. Bezier-curves and B-splines. Statistical hypothesis testing. Kalman filter. Robust estimation methods. Kriging, universal kriging, semivariogram. Foundations of functional analysis. Approximation in Hilbert space. Wavelets and selected applications in geodesy. Time series analysis. Fourier, Laplace and z-transforms. Digital filters. AR, MA, ARMA filters. A critical look at power spectrum estimation methods. Multitaper spectrum estimation.

Physical and Theoretical Geodesy
BMEEOAFD002
(Dr. Lajos Völgyesi)

Earth models, the Earth as an equilibrium body, orientation parameters of the Earth, geodetic reference systems. Interpretation of the gravity field, isostasy, geodesy and geodynamics. Different methods of geoid determination, applying the modern mathematical and geophysical results. Role of GPS in geoid determination, application of FFT and collocation methods. Time variation of geoid, terrestrial and space gradiometry.

Dynamic Methods in Geodetic Application of Artifical Earth's Satellites
BMEEOAFD003
(Dr. József Ádám - Dr. Lóránt Földváry - Dr. Gyula Tóth)

Determination of the Earth's gravity field structure by using different satellite geodetic observations. Theoretical foundation of the celestial mechanics twobody-problem. Theory of the satellite motion in Earth's gravity field. Methods of the determination of the geopotential coefficients. Atmospheric and lunisolar perturbations. Outline of the current practical results and trends. Detailed description of the latest geopotential solutions.

Earth Science Foundations of Geodesy
BMEEOAFD004
(Dr. Péter Biró - Dr. Lajos Völgyesi)

Time variation of the gravity field. Geodetic effects of the time variation of the earth gravity field. Changes in height and gravity in time variable gravity field. Investigation of simple earth models. Height and gravity in the real earth gravity field. Variation of the astronomic coordinates and true surface movements. A three dimensional solution of the geodetic-geodynamic boundary value problem. Use of satellite geodetic observations.

Geophysical Bases of the Earth' Models
BMEEOAFD005
(Dr. Péter Varga)

The four main problems discussed within the frames of the subject are:

Theory and Practice of the Reference Systems in Geodesy
BMEEOAFD006
(Dr. József Ádám - Dr. József Varga)

International conventional celestial and terrestrial reference systems (ICRS, ITRS) and their practical realizations (ICRFs, ITRFs). Geodetic reference systems and planar coordinate systems in Europe and Hungary. Transformation between different reference frames.

Cadastre Information Systems
BMEEOAFD007
(Dr. Ferenc Sárközy - Dr. Zoltán Siki

Evolution of cadastre systems, state-of-art cadastre systems, international overview.
Existing and developing cadastre systems used in Hungary.
Theoretical and practical issues of cadaster systems' planning. Introduction to cadastre based municipal and regional systems.

Spatial Data Models and Databases
BMEEOAFD008
(Dr. Ferenc Sárközy - Dr. Zoltán Siki)

Formation of the georelational data model. Vector and raster based models, hybrid models. Types of the data model: conceptual model, logical model, physical model. CASE tools supporting the model building. The object-oriented approach, basic concepts, object-relational models. Function field models. Multi scale object representation. Graphics - or geography-centered data models.
Spatial data transfer standards. Spatial indexing, static and dynamic division templates. Application of relation and object-relational databases for storage of spatial data.

Global Navigation Satellite Systems (GNSS)
BMEEOAFD009
(Dr. András Krauter - Dr. Szabolcs Rózsa - Bence Takács)

Brief history of global positioning. Satellite systems for global positioning (Navstar GPS, Glonass, Galileo) and their subsystems. Theory of satellite global positioning: reference systems, time systems, satellite signal structure, orbit determination, main error sources. Methods for observation and data processing, differential and real-time kinematic methods.
International GPS Service. Satellite-Based Augmentation System (SBAS) and Ground-Based Augmentation Systems (GBAS). GNSS infrastructure generations: passive GPS-network, active GPS-network and post processing, active GPS-network and real-time processing. GNSS realizations in Europe and Hungary. Possible trends for GNSS.

New Space Positioning Systems
BMEEOAFD010
(Dr. József Ádám - Dr. István Fejes - Dr. Lóránt Földváry)

Observational methods and practical application of the geodetic VLBI (Very Long Baseline Interferometry). An extension of VLBI into space: Space-VLBI. New space gravity missions (CHAMP, GRACE GOCE) for high precision and high resolution determination of the Earth's gravity field. Satellite altimetry.

GIS Systems for Buildings
BMEEOAFD011
(Dr. László Kis Papp)

  1. Necessity for implementation of a GIS system.
  2. The structure of GIS: hardware/software elements, databases, users.
  3. Determination of geometric data of a GIS:
    - data acquisition methods: direct data collection by surveying, photogrammetry and remote sensing;
    - indirect data collection from existing maps, databases, plans by digitasing or integration of existing digital database parts;
    - data evaluation: by computers;
    - visualisation of new informations: data supply in text or image format.
  4. Relationship among data evaluation methods: relationship between scale and resolution.
  5. The sequence of implementation of a GIS.
  6. Data acquisition for public facilities:
    - facility database related to the environment of a new construction investment;
    - socio-economic database of a new construction;
    - infrastructure database of a new construction.
  7. GIS systems for buildings after deployment.

Integrated Surveying Systems
BMEEOAFD012
(Dr. Szabolcs Rózsa - Dr. Bence Takács)

Elements of surveying systems. Etalons, gauges, sensors, decoders. Classification of integrated surveying systems. Basic types of surveying systems, their construction and principles of operation. Data evaluation, storage, structuring. The role of radiocommunication in measurement technology. Analysis of measurement information, precision and integrity. Intelligent data storage and visualization of measurement information.

Automated Surveying in Engineering Geodesy
BMEEOAFD013
(Dr. Ferenc Sárközy - Dr. Károly Dede)

Targets, instruments and possibilities for automation in engineering surveying and setting out. Contactless measuring instruments, principle of operation. Description and use of the servotachymeter instruments. Methods and instruments for control of construction machinery. Automatic scanning tachymeters.
Case studies about the applications of the above mentioned methods and instruments.

Usage and Development of Internet Applications in the Engineering Practice
BMEEOAFD014
(Dr. Zoltán Siki)

The main purpose of the subject is to give an overview of the base of the Internet ready application on the field of GIS and virtual reality.
Main topics:

Open source softwares/development tools are mainly used in case studies and examples (e.g. Apache, PostgreSQL, PHP, Tcl/Tk, UMN Mapserver, Java, JavaScript).