Course: Seminar on Fourier analysis

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Course title Seminar on Fourier analysis
Course code OPT/SFA
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)
  • Stoklasa Bohumil, Mgr. Ph.D.
  • Řeháček Jaroslav, prof. Mgr. Ph.D.
Course content
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
Lecture, Demonstration
Learning outcomes

On successful completion of this module, students should understand the syllabus topics and be able to apply this knowledge in solving problems.
Prerequisites
No prior requirements. The lecture is self-contained.

Assessment methods and criteria
Student performance, Seminar Work

Knowledge of the syllabus topics.
Recommended literature


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Digital and Instrument Optics (1) Physics courses 3 Winter