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...

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Bibliographic Details
Published in:Sensors (Basel, Switzerland) Switzerland), 2021-10, Vol.21 (21), p.7057
Main Authors: Nagib, Karim, Mezgebo, Biniyam, Fernando, Namal, Kordi, Behzad, Sherif, Sherif S.
Format: Article
Language:English
Subjects:
Error correction
Fourier transforms
Frequency domain analysis
non-uniform discrete fourier transform
Nondestructive testing
Optical Coherence Tomography
redundant samples
Signal to noise ratio
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Summary: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 scaled 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.
ISSN:1424-8220
1424-8220
DOI:10.3390/s21217057