[PDF] Discrete Fourier Transform (DFT) PDF lecture6_2D

(IDFT) transform Inverse 1 - = = ∑ - N nn N k j kF N f(n) N π Yao Wang, NYU-Poly 2D Discrete Fourier Transform • Definition Assuming f(m n) m = 0 1

Fourier transform of a 2D set of samples forming a bidimensional sequence • As in the 1D case, 2D-DFT, though a self-consistent transform, can be considered

[PDF] Discrete Fourier Transform - WPI Computer Science (CS) Department

Image is a discrete 2D function ○ For discrete functions we need only finite number of functions ○ For example, consider the discrete

[PDF] 2D Discrete Fourier Transform

Example 1: 10x10 pixel image, 5x5 averaging filter Image domain: Num of operations = 102 x 52=2500 Using DFT: N1 +N2 -1=14 Smallest 2n is 24=16

[PDF] Discrete Fourier Transform (DFT)

(IDFT) transform Inverse 1 - = = ∑ - N nn N k j kF N f(n) N π Yao Wang, NYU-Poly 2D Discrete Fourier Transform • Definition Assuming f(m n) m = 0 1

[PDF] Lecture 2: 2D Fourier transforms and applications

B14 Image Analysis Michaelmas 2014 A Zisserman • Fourier transforms and spatial frequencies in 2D • Definition and meaning • The Convolution Theorem

[PDF] Problem 1 (50 pts)

Compute the two-dimensional DFT with size M=N=4 for the following 4x4 stripe image note: all credits are given for correct calculation but different normalizing