All students must validate 30 ECTS per semester.We offer two speciality tracks:

Track 1: Vision and Applications
The first track focuses on various applications of computer vision: biomedical applications, people detection, object tracking, computational photography.

Track 2: Vision and devices
The second track focuses on devices to capture images (intelligent sensors, medical imaging systems) and to visualise and interact with them (augmented reality)




Course name: Numerical Analysis Credits: 4

  • Class type: lecture/lab
  • Hours per week: 2/1
  • Type of the exam: oral exam
  • Prerequisites (if exist): Mathematical Analysis II.; Discrete Mathematics II.; Linear Algebra II.


Solving System of Linear Equations: Gaussian elimination, Jacobi and Gauss-Seidel iteration. Computing eigenvalues: power method, Jacobi’s method, LU algorithm. Polynomial interpolation: Lagrange interpolation, Hermite interpolation, least squares method. Numerical integration: Newton-Cotes formulae, composite formulae. Solution of equations by iteration: Simple iteration, Newton method.
Some least squares problems: fitting lines. rectangles, squares in the plane.
Savitzky-Golay Filter.
Fourier coefficients, Discrete Fourier transform (DFT), properties of the transform, the inverse of DFT. The Hadamard product, relation between the convolution product and the DFT. Trigonometric interpolation
Some applications of DFT, multiplication of polynomials, data smoothing, sound analysis, solving fourth-order boundary value problem of differential equation with DFT.
Algorithm and operating requirements of Fast Fourier transformation (FFT).

Required reading

Gander, W., Hrebicek, J.: Solving Problems in Scientific Computing Using Maple and MATLAB. Springer, 1995.

Recommended reading

  • Lecturer (name, position, degree): Dr. Gábor Szederkényi, professor, DSc
  • Additional lecturers, if exist(name, position, degree): Dr. Lajos Gergó, associate professor, PhD

The European Credit Transfer and Accumulation System (ECTS) is a student-centred system based on the student workload required to achieve the objectives of a programme of study. Its aim is to facilitate the recognition of study periods undertaken abroad by mobile students through the transfer credits. The ECTS is based on the principle that 60 credits are equivalent to the workload of full-time student during one academic year.