| Course title | Seminar on Fourier analysis |
|---|---|
| Course code | OPT/SF |
| Organizational form of instruction | Seminar |
| Level of course | Bachelor |
| Year of study | 3 |
| 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 |