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TFG_Pomar_Konstantinovic_Jovan.pdf (1.41 MB)

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Bachelor thesis

Publication date

2025-06-09

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cc-by-nc-nd (c) Jovan Pomar Konstantinovic, 2025
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/227574

Fourier Analysis in the Realm of Crystals

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Abstract

In this thesis, we study Fourier series and the practical implementation of the discrete Fourier transform through the FFT. Finally, we explain the basic operating principles of STEM and provide a theoretical justification for applying the 2D DFT to projected atomic lattices.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Jordi Marzo, Jordi Arbiol i Ivan Pinto

Subject

Transformacions de Fourier, Anàlisi de Fourier, Processament digital d'imatges, Microscòpia electrònica, Treballs de fi de grau, Jovan Pomar Konstantinovic

Subject (English)

Fourier transformations, Fourier analysis, Digital image processing, Electron microscopy, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

POMAR KONSTANTINOVIC, Jovan. Fourier Analysis in the Realm of Crystals. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/227574

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