Course detail

Processing of multidimensional signals

FEKT-BPC-ZVSAcad. year: 2024/2025

The Processing of Multidimensional Signals course addresses one-dimensional time signals and two-dimensional image signals. Computer based methods and procedures intended for signal and image processing are the main parts of the course.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Entry knowledge

The basic knowledge on the level of secondary school is required in the Processing of Multidimensional Signals course.

Rules for evaluation and completion of the course

Weekly computer exercises (40 pts) and a final exam (60 pts) are evaluated during the Processing of Multidimensional Signals course. For successful pass the course, obtaining of at least half of available points is required in both mentioned parts.
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Aims

The course is  aimed to discrete signals and discrete images. First of all, fundamentals of signal processing, sampling theory, signal reconstruction and discrete filters are introduced with a view to further image processing. Next part of the course contains theory of discrete image processing as geometric and brightness transformations, integral transformations, gradient operators, mathematical morphology and fundamentals of segmentation and classification.
Graduate of the course is able to design and to implement algorithms and methods for processing of both one-dimensional time signals and two-dimensional image signals.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Gonzalez, R.C. & Woods, R.E., Digital image processing. 4th ed., Upper Saddle River: Prentice-Hall, 2017, ISBN 1292223049 (CS)
Hlaváč V., Šonka M.: Počítačové vidění. Grada 1992. ISBN 80-85424-67-3. (CS)

Recommended reading

Russ J.C.: The Image Processing Handbook. CRC Press 1995. ISBN 0-8493-2516-1. (EN)
Sonka M., Hlavac V., Boyle R.: Image Processing, Analysis and Machine Vision. Thomson 2008. ISBN 978-0-495-08252-1. (EN)

Classification of course in study plans

  • Programme BPC-AMT Bachelor's 3 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

1. Introduction to signal processing.
2. Introduction to image processing.
3. Discrete image.
4. Image representation and properties.
5. Brightness transformations.
6. Geometrical transformations.
7. Noise filtration.
8. Edge and corner detection.
9. Integral transform I.
10. Integral transform II.
11. Mathematical morphology.
12. Colour models. Image files formats.

Laboratory exercise

39 hod., compulsory

Teacher / Lecturer

Syllabus

Practical practice of the material from the lecture
  1. Using MATLAB in image processing
  2. Discrete signals
  3. Discrete images
  4. Arithmetic operations
  5. Brightness transformations
  6. Geometric transformations
  7. Discrete convolution
  8. Linear and non-linear filtering
  9. Edge detection
  10. Filtering in the frequency domain
  11. Morphological operations
  12. Signal processing examples