ICe: interior cevian initialization for enhanced reconstruction methods

Abstract This paper introduces two novel self-induced basis strategies, interior cevian initialization for orthogonal matching pursuit (ICe) and its $$l_2$$ l 2 -sense optimized version, optimized interior cevian initialization (OICe). These methods address the complexity and convergence issues of t...

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Main Author: A. N. Omara
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:Journal of Electrical Systems and Information Technology
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Online Access:https://doi.org/10.1186/s43067-024-00174-w
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author A. N. Omara
author_facet A. N. Omara
author_sort A. N. Omara
collection DOAJ
description Abstract This paper introduces two novel self-induced basis strategies, interior cevian initialization for orthogonal matching pursuit (ICe) and its $$l_2$$ l 2 -sense optimized version, optimized interior cevian initialization (OICe). These methods address the complexity and convergence issues of the previously proposed self-inspired bases (SIBS) approach. Both algorithms enhance sparse image representation by generating adaptive auxiliary atoms tailored to the image, thereby improving reconstruction quality and computational efficiency. Experimental results show that ICe achieves up to a 35.6% improvement in Normalized Mean Squared Error (NMSE) and a 16.4% increase in Structural Similarity Index (SSIM) compared to conventional OMP. OICe, as the $$l_2$$ l 2 -sense optimized version of ICe, delivers even greater performance, with improvements of up to 40% in NMSE and 18.5% in SSIM. Additionally, both ICe and OICe significantly reduce bits per pixel (BPP) for image encoding, outperforming SIBS when paired with state-of-the-art dictionaries such as KSVD, MOD, RBDL, and ODL. These results highlight the effectiveness of ICe and OICe in addressing key challenges in sparse representation, offering enhanced accuracy and efficiency across a variety of applications.
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spelling doaj-art-74c51c12892d4fb8a33b1f087d1d5fbb2024-11-10T12:12:28ZengSpringerOpenJournal of Electrical Systems and Information Technology2314-71722024-11-0111112710.1186/s43067-024-00174-wICe: interior cevian initialization for enhanced reconstruction methodsA. N. Omara0Computers and Systems Department, Electronics Research Institute (ERI)Abstract This paper introduces two novel self-induced basis strategies, interior cevian initialization for orthogonal matching pursuit (ICe) and its $$l_2$$ l 2 -sense optimized version, optimized interior cevian initialization (OICe). These methods address the complexity and convergence issues of the previously proposed self-inspired bases (SIBS) approach. Both algorithms enhance sparse image representation by generating adaptive auxiliary atoms tailored to the image, thereby improving reconstruction quality and computational efficiency. Experimental results show that ICe achieves up to a 35.6% improvement in Normalized Mean Squared Error (NMSE) and a 16.4% increase in Structural Similarity Index (SSIM) compared to conventional OMP. OICe, as the $$l_2$$ l 2 -sense optimized version of ICe, delivers even greater performance, with improvements of up to 40% in NMSE and 18.5% in SSIM. Additionally, both ICe and OICe significantly reduce bits per pixel (BPP) for image encoding, outperforming SIBS when paired with state-of-the-art dictionaries such as KSVD, MOD, RBDL, and ODL. These results highlight the effectiveness of ICe and OICe in addressing key challenges in sparse representation, offering enhanced accuracy and efficiency across a variety of applications.https://doi.org/10.1186/s43067-024-00174-wInterior ceviansDictionary learningSparse representationSelf-induced basesReconstruction initialization
spellingShingle A. N. Omara
ICe: interior cevian initialization for enhanced reconstruction methods
Journal of Electrical Systems and Information Technology
Interior cevians
Dictionary learning
Sparse representation
Self-induced bases
Reconstruction initialization
title ICe: interior cevian initialization for enhanced reconstruction methods
title_full ICe: interior cevian initialization for enhanced reconstruction methods
title_fullStr ICe: interior cevian initialization for enhanced reconstruction methods
title_full_unstemmed ICe: interior cevian initialization for enhanced reconstruction methods
title_short ICe: interior cevian initialization for enhanced reconstruction methods
title_sort ice interior cevian initialization for enhanced reconstruction methods
topic Interior cevians
Dictionary learning
Sparse representation
Self-induced bases
Reconstruction initialization
url https://doi.org/10.1186/s43067-024-00174-w
work_keys_str_mv AT anomara iceinteriorcevianinitializationforenhancedreconstructionmethods