Regular Discrete Cosine Transform and its Application to Digital Images Representation
Discrete cosine transform dct-i, unlike dct-ii, does not concentrate the energy of a transformed vector sufficiently well, so it is not used practically for the purposes of digital image compression. By performing regular normalization of the basic cosine transform matrix, we obtain a discrete cosin...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Zagreb, Faculty of Graphic Arts
2011-11-01
|
Series: | Acta Graphica |
Subjects: | |
Online Access: | http://www.actagraphica.hr/images/stories/Acta_2011_1-2_str_3-12.pdf |
id |
doaj-dff1f66daf6d4af09eb865132355ae44 |
---|---|
record_format |
Article |
spelling |
doaj-dff1f66daf6d4af09eb865132355ae442020-11-24T23:17:54ZengUniversity of Zagreb, Faculty of Graphic ArtsActa Graphica0353-47072011-11-01221-2/ 11110Regular Discrete Cosine Transform and its Application to Digital Images RepresentationYuri A. GadzhievDiscrete cosine transform dct-i, unlike dct-ii, does not concentrate the energy of a transformed vector sufficiently well, so it is not used practically for the purposes of digital image compression. By performing regular normalization of the basic cosine transform matrix, we obtain a discrete cosine transform which has the same cosine basis as dct-i, coincides as dct-i with its own inverse transform, but unlike dct-i, it does not reduce the proper ability of cosine transform to the energy concentration. In this paper we consider briefly the properties of this transform, its possible integer implementation for the case of 8x8-matrix, its applications to the image itself and to the preliminary rgb colour space transformations, further more we investigate some models of quantization, perform an experiment for the estimation of the level of digital images compression and the quality achieved by use of this transform. This experiment shows that the transform can be sufficiently effective for practical use, but the question of its comparative effectiveness with respect to dct-ii remains open.http://www.actagraphica.hr/images/stories/Acta_2011_1-2_str_3-12.pdfImage CompressionFrequency Transformsdct |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yuri A. Gadzhiev |
spellingShingle |
Yuri A. Gadzhiev Regular Discrete Cosine Transform and its Application to Digital Images Representation Acta Graphica Image Compression Frequency Transforms dct |
author_facet |
Yuri A. Gadzhiev |
author_sort |
Yuri A. Gadzhiev |
title |
Regular Discrete Cosine Transform and its Application to Digital Images Representation |
title_short |
Regular Discrete Cosine Transform and its Application to Digital Images Representation |
title_full |
Regular Discrete Cosine Transform and its Application to Digital Images Representation |
title_fullStr |
Regular Discrete Cosine Transform and its Application to Digital Images Representation |
title_full_unstemmed |
Regular Discrete Cosine Transform and its Application to Digital Images Representation |
title_sort |
regular discrete cosine transform and its application to digital images representation |
publisher |
University of Zagreb, Faculty of Graphic Arts |
series |
Acta Graphica |
issn |
0353-4707 |
publishDate |
2011-11-01 |
description |
Discrete cosine transform dct-i, unlike dct-ii, does not concentrate the energy of a transformed vector sufficiently well, so it is not used practically for the purposes of digital image compression. By performing regular normalization of the basic cosine transform matrix, we obtain a discrete cosine transform which has the same cosine basis as dct-i, coincides as dct-i with its own inverse transform, but unlike dct-i, it does not reduce the proper ability of cosine transform to the energy concentration. In this paper we consider briefly the properties of this transform, its possible integer implementation for the case of 8x8-matrix, its applications to the image itself and to the preliminary rgb colour space transformations, further more we investigate some models of quantization, perform an experiment for the estimation of the level of digital images compression and the quality achieved by use of this transform. This experiment shows that the transform can be sufficiently effective for practical use, but the question of its comparative effectiveness with respect to dct-ii remains open. |
topic |
Image Compression Frequency Transforms dct |
url |
http://www.actagraphica.hr/images/stories/Acta_2011_1-2_str_3-12.pdf |
work_keys_str_mv |
AT yuriagadzhiev regulardiscretecosinetransformanditsapplicationtodigitalimagesrepresentation |
_version_ |
1725582831205220352 |