| Course title | Seminar on Fourier analysis | 
|---|---|
| Course code | OPT/SF | 
| Organizational form of instruction | Seminar | 
| Level of course | Bachelor | 
| Year of study | not specified | 
| Semester | Winter | 
| Number of ECTS credits | 4 | 
| Language of instruction | Czech | 
| Status of course | Compulsory-optional | 
| Form of instruction | Face-to-face | 
| Work placements | This is not an internship | 
| Recommended optional programme components | None | 
| Lecturer(s) | 
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| Course content | 
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         1. Fourier transformation: Definition and properties, digital FT, sampling. 2. Applications: Convolution, correlation, numerical derivation. 3. Optical FT: Fraunhofer diffraction, Fourier properties of lenses. 4. Imaging: PSF and OTF. 5. Optical aberrations: Wave aberrations, apodization, Strehl ratio. 6. Spatial spectrum filtering: High pass and low pass filters, selective filtering. 7. Discrimination: Recognition of images and patterns, matched filters. 8. Image reconstruction: PSF deconvolution, inverse and Wiener filters, applications. 9. Advanced applications I: Principal components analysis, image compression, JPEG. 10. Advanced applications II: Super-resolution techniques, phase reconstruction, Gerchberg-Saxton algorithm. 11. Advanced applications III: Radon transformation, FT in ray tomography.
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| Learning activities and teaching methods | 
| Lecture, Demonstration | 
| Learning outcomes | 
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                 On successful completion of this module, students should understand the syllabus topics and be able to apply this knowledge in solving problems.  | 
        
| Prerequisites | 
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                No prior requirements. The lecture is self-contained.
                
                
                    
                        
                    
                    
                
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| Assessment methods and criteria | 
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                        Student performance, Seminar Work
                        
                        
                         Knowledge of the syllabus topics.  | 
        
| Recommended literature | 
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| Study plans that include the course | 
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Digital and Instrument Optics (2019) | Category: Physics courses | 3 | Recommended year of study:3, Recommended semester: Winter |