Course detail

Numerical Methods of Image Analysis

FSI-TNM-A Acad. year: 2023/2024 Summer semester

The course familiarises students with the digital image processing theory and selected topics of image analysis. It focuses on digital images representation and reconstruction, filtration in frequency and spatial domain, noise analysis and filtration, image enhancement, image segmentation, objects analysis and recognition, analysis of multi-spectral images.

Language of instruction

English

Number of ECTS credits

4

Entry knowledge

Real and complex analysis, functional analysis, basic knowledge of programming

Rules for evaluation and completion of the course

Graded course-unit redit is awarded on condition of having passed a written test, and submitted a semester work.
Missed lessons can be compensated for via make-up topics of exercises.

Aims

The aim of the course is to provide students with information about modern mathematical method of image processing, including programming techniques.
Basic knowledge of classic and digital photography, modern mathematical methods of image processing,
image analysis and pattern recognition.

The study programmes with the given course

Programme N-AIM-A: Applied and Interdisciplinary Mathematics, Master's, compulsory-optional

Programme N-MAI-A: Mathematical Engineering, Master's, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Principles of classic and digital photography
2. Numeric image representation, graphics formats, image data compression
3. Images reconstruction, statistical image characteristics
4. Pixel values transforms
5. Convolution, space domain filtration
6. Fourier transform, frequency domain filtration
7. Low-pass and high-pass filters, nonlinear filters
8. Adaptive filters
9. Additive noise – analysis and filtration
10. Impulse noise – analysis and filtration
11. Image segmentation
12. Object analysis
13. Pattern recognition and object classification

Computer-assisted exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

1. Using of ACC 6.0 image analyzer – basic principles.
2. Programming techniques in numerical image processing and analysis
3 Data compression (lossy and lossless)
4. Statistical methods of image analysis
5. Convolution, space domain filtration
6. FFT algorithm and its using in image processing
7. Low-pass and high-pass filters, nonlinear filters
8. Adaptive filters
9. Additive noise – analysis and filtration
10. Impulse noise – analysis and filtration
11. Image segmentation
12. Object analysis, moment method
13. Pattern recognition and object classification