Page 57 - Computational Retinal Image Analysis
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3  Ophthalmic instruments     47




                     The axial size of the images is restricted now by the instantaneous coherence
                  length of the source, however this is not limited to a couple of mm as in the case of
                  CB-OCT. Typically MEMS based SSs can provide axial ranges from 3 to 4 mm to
                  1 cm depending on the speed data is sampled. In terms of axial resolutions, SSs have
                  a more limited spectral range, of maximum 100 nm. As current technology only al-
                  lows for fast (>100 kHz), stable SSs for wavelengths superior to 1060 nm, SS-OCT
                  instruments can only deliver image with axial resolutions of 4.8 μm in air. However,
                  SS-OCT instruments provide better sensitivity than CB-OCT and a better depth pen-
                  etration in the choroid as the scattering is reduced at longer wavelength. The use
                  of CB-OCT at longer wavelengths is restricted due to the unavailability of the fast
                  cameras.
                  3.8.5   Methods of generating images in SD-OCT
                  To produce an A-scan in SD-OCT, the integral of the product between an experimen-
                  tally acquired spectrum, obtained by interfering light from the sample and reference
                  arm of the interferometer and a kernel function is calculated. To eliminate the chirp-
                  ing due to nonlinear wavelength mapping and due to unbalanced dispersion, two
                  methods can be used: a wide spread method is based on FFT that operates on the
                  experimental spectra, or a novel method (Master/Slave) that operates on the kernel
                  function.
                     When using the FFT based method, each experimental spectrum is re-sampled
                  then multiplied by a function that cancel the effect of the unbalanced dispersion. A
                  relationship between the phase of the modified spectrum and a new wavenumber
                  distribution is obtained, then an A-scan compensated for broadening is produced
                  by calculating the FFT of the product between the re-sampled spectrum and an
                  apodization function. The process of calibration (computing the new wavenumber
                  distribution) is performed at each spectral acquisition, before imaging is carried
                  out. To produce accurate information on the reflectivity from within the sample,
                  each acquired experimental spectrum is resampled according, typically via a cubic
                  B-spline interpolation, then correct for the unbalanced dispersion. All these opera-
                  tions limit the capability of the FFT based instruments to operate in real-time as
                  they are executed sequentially. In addition, the resampling operation is time con-
                  suming and must be applied to each acquired experimental spectrum. In contrast
                  to the FFT method, the process of obtaining an axial reflectivity profile utilizing
                  the MS method consists in modifying the kernel function [56]. Thus, a transversal
                  reflectivity profile (T-scan), for a given axial position z i  can be reduced to a simple
                  matrix multiplication [57]. The advantage of this mathematical representation of a
                  T-scan is that it can be generated in real-time. Collections of T-scans can be pro-
                  duced in real-time as now all operations are parallelizable. Furthermore, an entire
                  en-face MS based SD-OCT image can be produced in real-time, multiple en-face
                  images from different axial positions along depth can also be generated without
                  producing entire large 3D volumes. This allows for defining axial regions of in-
                  terest where B-scans can be generated without producing redundant data, hence
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