Please use this identifier to cite or link to this item:
Title: Approximate trigonometric expansions with applications to image encoding
Authors: Kasparis, Takis 
Memon, Qurban A.
Keywords: Image reconstruction;Performance;Data processing
Issue Date: 1996
Publisher: SPIE
Source: The International Society for Optical Engineering, 1996, Volume 2751, Pages 26-35
Abstract: The objective of data encoding is to transform a data array into a statistically uncorrelated set. This step is typically considered a 'decorrelation' step because in the case of unitary transformations, the resulting transform coefficients are relatively uncorrelated. Most unitary transforms have the tendency to compact the signal energy into relatively few coefficients. The compaction of energy thus achieved permits a prioritization of the spectral coefficients with the most energetic ones receiving a greater allocation of encoding bits. There are various transforms such as Karhunen-Loeve, discrete cosine transforms etc., but the choice depends on the particular application. In this paper, we apply an approximate Fourier expansion (AFE) to sampled one-dimensional signals and images, and investigate some mathematical properties of the expansion. Additionally, we extend the expansion to an approximate cosine expansion (ACE) and show that for purposes of data compression with minimum error reconstruction of images, the performance of ACE is better than AFE. For comparison purposes, the results also are compared with discrete cosine transform (DCT).
ISBN: 0819421324
DOI: 10.1117/12.242017
Rights: © 1996 SPIE
Type: Book Chapter
Appears in Collections:Κεφάλαια βιβλίων/Book chapters

Show full item record

Page view(s)

Last Week
Last month
checked on Feb 21, 2019

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.