|Course title||Seminar on Fourier analysis|
|Organizational form of instruction||Seminar|
|Level of course||Bachelor|
|Year of study||not specified|
|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|
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.
|Learning activities and teaching methods|
On successful completion of this module, students should understand the syllabus topics and be able to apply this knowledge in solving problems.
No prior requirements. The lecture is self-contained.
|Assessment methods and criteria|
Student performance, Seminar Work
Knowledge of the syllabus topics.
|Study plans that include the course|