Title
Fourier Analysis and Holographic Representations of 1D and 2D Signals
Abstract
In this paper, we focus on Fourier analysis and holographic transforms for signal representation. For instance, in the case of image processing, the holographic representation has the property that an arbitrary portion of the transformed image enables reconstruction of the whole image with details missing. We focus on holographic representation defined through the Fourier Transforms. Thus, We firstly review some results in Fourier transform and Fourier series. Next, we review the Discrete Holographic Fourier Transform (DHFT) for image representation. Then, we describe the contributions of our work. We show a simple scheme for progressive transmission based on the DHFT. Next, we propose the Continuous Holographic Fourier Transform (CHFT) and discuss some theoretical aspects of it for 1D signals. Finally, some testes are presented in the experimental results
Year
Venue
Keywords
2006
Clinical Orthopaedics and Related Research
pattern recognition,image processing,fourier series,fourier analysis,fourier transform
Field
DocType
Volume
Discrete-time Fourier transform,Computer vision,Non-uniform discrete Fourier transform,Fourier analysis,Computer science,Discrete Fourier series,Fourier inversion theorem,Fourier transform,Artificial intelligence,Discrete Fourier transform,Fractional Fourier transform
Journal
abs/cs/060
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Gilson A. Giraldi19821.93
B. F. Moutinho200.34
D. M. L. De Carvalho300.34
Jauvane C. de Oliveira410212.62