Two dimensional Fourier transform using MATLAB

Author

Zavadil, Jaromir ; Tuma, Jiri ; Valicek, Jan ; Mahdal, Miroslav ; Los, Jaroslav

Author_Institution

Dept. of Control Syst. & Instrum., VSB - Tech. Univ. of Ostrava, Ostrava-Poruba, Czech Republic

fYear

2013

fDate

26-29 May 2013

Firstpage

432

Lastpage

435

Abstract

Two dimensional Fourier transform is a powerful tool for image processing, especially in the field of image restoration and filtration. But also it is useful for detection of periodicities at any angle with respect to the image edge. This paper describes the use of two dimensional Fourier transform in the MATLAB environment to compute the length of a wave and the angle between the line that connects points with the same phase and the edge of an image. Several sets of images were processed in order to demonstrate the properties of two dimensional Fourier transform. The results along with description of the main algorithm are presented.

Keywords

Fourier transforms; edge detection; filtering theory; image restoration; mathematics computing; MATLAB environment; image edge; image filtration; image processing; image restoration; periodicity detection; two dimensional Fourier transform; Digital images; Discrete wavelet transforms; Fourier transforms; MATLAB; Manganese; Process control; Wavelet analysis; Fourier transform; MATLAB; image processing; two dimensional;

fLanguage

English

Publisher

ieee

Conference_Titel

Carpathian Control Conference (ICCC), 2013 14th International

Conference_Location

Rytro

Print_ISBN

978-1-4673-4488-3

Type

conf

DOI

10.1109/CarpathianCC.2013.6560583

Filename

6560583