Designing of overcomplete dictionaries based on DCT and DWT

Atoms; Biomedical engineering; Computer vision; Discrete wavelet transforms; Image reconstruction; Stereo image processing; Stereo vision; Students; Wavelet transforms; Computation complexity; Convergence rates; Discrete Cosine Transform(DCT); KSVD; Method of optimal directions; Over-complete dictio...

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Main Authors: Qayyum A., Malik A.S., Naufal M., Saad M., Mazher M., Abdullah F., Abdullah T.A.R.B.T.
Other Authors: 57211138712
Format: Conference Paper
Published: Institute of Electrical and Electronics Engineers Inc. 2023
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spelling my.uniten.dspace-228232023-05-29T14:12:29Z Designing of overcomplete dictionaries based on DCT and DWT Qayyum A. Malik A.S. Naufal M. Saad M. Mazher M. Abdullah F. Abdullah T.A.R.B.T. 57211138712 12800348400 57034338400 56567441400 57189096519 57188825497 56594684600 Atoms; Biomedical engineering; Computer vision; Discrete wavelet transforms; Image reconstruction; Stereo image processing; Stereo vision; Students; Wavelet transforms; Computation complexity; Convergence rates; Discrete Cosine Transform(DCT); KSVD; Method of optimal directions; Over-complete dictionaries; Spare Representation; Sparse representation; Discrete cosine transforms Sparse representation is very active area in computer vision and image analysis. It has many applications in de-noising, stereo vision, image painting, image restoration, image de-blurring and many. For sparse modeling, there is need to design an appropriate dictionary. However, there are many dictionaries used for sparse modeling and were reported in literature. In this paper, we implemented the fixed dictionaries and adaptive dictionaries i.e., Method of Optimal Direction (MOD) and KSVD. Both adaptive are used for training the noisy images and computing the error and recovered the number of atoms using adaptive or small patches of images. The result showed that our proposed dictionaries performed much better for atom recovery in noisy patches of the images. The dictionary based on discrete wavelet transform (DWT) basis function with KSVD produced accurate result as compared to all other dictionaries. However, for fast convergence of RMSE value to minimum, DWT with KSVD and MOD dictionaries showed higher convergence rate as compared to discrete cosine transform (DCT) with KSVD and MOD. The computation complexity increased little using the DWT dictionary as compared to DCT dictionary. � 2015 IEEE. Final 2023-05-29T06:12:29Z 2023-05-29T06:12:29Z 2016 Conference Paper 10.1109/ISSBES.2015.7435883 2-s2.0-84965115437 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84965115437&doi=10.1109%2fISSBES.2015.7435883&partnerID=40&md5=e26f09dafc7f1900732c0c0eec4c9fb9 https://irepository.uniten.edu.my/handle/123456789/22823 7435883 134 139 Institute of Electrical and Electronics Engineers Inc. Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
description Atoms; Biomedical engineering; Computer vision; Discrete wavelet transforms; Image reconstruction; Stereo image processing; Stereo vision; Students; Wavelet transforms; Computation complexity; Convergence rates; Discrete Cosine Transform(DCT); KSVD; Method of optimal directions; Over-complete dictionaries; Spare Representation; Sparse representation; Discrete cosine transforms
author2 57211138712
author_facet 57211138712
Qayyum A.
Malik A.S.
Naufal M.
Saad M.
Mazher M.
Abdullah F.
Abdullah T.A.R.B.T.
format Conference Paper
author Qayyum A.
Malik A.S.
Naufal M.
Saad M.
Mazher M.
Abdullah F.
Abdullah T.A.R.B.T.
spellingShingle Qayyum A.
Malik A.S.
Naufal M.
Saad M.
Mazher M.
Abdullah F.
Abdullah T.A.R.B.T.
Designing of overcomplete dictionaries based on DCT and DWT
author_sort Qayyum A.
title Designing of overcomplete dictionaries based on DCT and DWT
title_short Designing of overcomplete dictionaries based on DCT and DWT
title_full Designing of overcomplete dictionaries based on DCT and DWT
title_fullStr Designing of overcomplete dictionaries based on DCT and DWT
title_full_unstemmed Designing of overcomplete dictionaries based on DCT and DWT
title_sort designing of overcomplete dictionaries based on dct and dwt
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2023
_version_ 1806428496857137152
score 13.211869