Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples

In this paper, we use Frame Theory to develop a generalized OCT image reconstruction method using redundant and non-uniformly spaced frequency domain samples that includes using non-redundant and uniformly spaced samples as special cases. We also correct an important theoretical error in the previou...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Karim Nagib, Biniyam Mezgebo, Namal Fernando, Behzad Kordi, Sherif S. Sherif
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	optical coherence tomography non-uniform discrete fourier transform redundant samples Chemical technology TP1-1185
Acceso en línea:	https://doaj.org/article/f4244208704e4684800b9d3d2e416594
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:f4244208704e4684800b9d3d2e416594
record_format	dspace
spelling	oai:doaj.org-article:f4244208704e4684800b9d3d2e4165942021-11-11T19:04:53ZGeneralized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples10.3390/s212170571424-8220https://doaj.org/article/f4244208704e4684800b9d3d2e4165942021-10-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/21/7057https://doaj.org/toc/1424-8220In this paper, we use Frame Theory to develop a generalized OCT image reconstruction method using redundant and non-uniformly spaced frequency domain samples that includes using non-redundant and uniformly spaced samples as special cases. We also correct an important theoretical error in the previously reported results related to OCT image reconstruction using the Non-uniform Discrete Fourier Transform (NDFT). Moreover, we describe an efficient method to compute our corrected reconstruction transform, i.e., a <i>scaled</i> NDFT, using the Fast Fourier Transform (FFT). Finally, we demonstrate different advantages of our generalized OCT image reconstruction method by achieving (1) theoretically corrected OCT image reconstruction directly from non-uniformly spaced frequency domain samples; (2) a novel OCT image reconstruction method with a higher signal-to-noise ratio (SNR) using redundant frequency domain samples. Our new image reconstruction method is an improvement of OCT technology, so it could benefit all OCT applications.Karim NagibBiniyam MezgeboNamal FernandoBehzad KordiSherif S. SherifMDPI AGarticleoptical coherence tomographynon-uniform discrete fourier transformredundant samplesChemical technologyTP1-1185ENSensors, Vol 21, Iss 7057, p 7057 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	optical coherence tomography non-uniform discrete fourier transform redundant samples Chemical technology TP1-1185
spellingShingle	optical coherence tomography non-uniform discrete fourier transform redundant samples Chemical technology TP1-1185 Karim Nagib Biniyam Mezgebo Namal Fernando Behzad Kordi Sherif S. Sherif Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
description	In this paper, we use Frame Theory to develop a generalized OCT image reconstruction method using redundant and non-uniformly spaced frequency domain samples that includes using non-redundant and uniformly spaced samples as special cases. We also correct an important theoretical error in the previously reported results related to OCT image reconstruction using the Non-uniform Discrete Fourier Transform (NDFT). Moreover, we describe an efficient method to compute our corrected reconstruction transform, i.e., a <i>scaled</i> NDFT, using the Fast Fourier Transform (FFT). Finally, we demonstrate different advantages of our generalized OCT image reconstruction method by achieving (1) theoretically corrected OCT image reconstruction directly from non-uniformly spaced frequency domain samples; (2) a novel OCT image reconstruction method with a higher signal-to-noise ratio (SNR) using redundant frequency domain samples. Our new image reconstruction method is an improvement of OCT technology, so it could benefit all OCT applications.
format	article
author	Karim Nagib Biniyam Mezgebo Namal Fernando Behzad Kordi Sherif S. Sherif
author_facet	Karim Nagib Biniyam Mezgebo Namal Fernando Behzad Kordi Sherif S. Sherif
author_sort	Karim Nagib
title	Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
title_short	Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
title_full	Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
title_fullStr	Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
title_full_unstemmed	Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples
title_sort	generalized image reconstruction in optical coherence tomography using redundant and non-uniformly-spaced samples
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/f4244208704e4684800b9d3d2e416594
work_keys_str_mv	AT karimnagib generalizedimagereconstructioninopticalcoherencetomographyusingredundantandnonuniformlyspacedsamples AT biniyammezgebo generalizedimagereconstructioninopticalcoherencetomographyusingredundantandnonuniformlyspacedsamples AT namalfernando generalizedimagereconstructioninopticalcoherencetomographyusingredundantandnonuniformlyspacedsamples AT behzadkordi generalizedimagereconstructioninopticalcoherencetomographyusingredundantandnonuniformlyspacedsamples AT sherifssherif generalizedimagereconstructioninopticalcoherencetomographyusingredundantandnonuniformlyspacedsamples
_version_	1718431680441614336

Generalized Image Reconstruction in Optical Coherence Tomography Using Redundant and Non-Uniformly-Spaced Samples

Ejemplares similares