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Distortion Correction of OCT Images of the Crystalline Lens: Gradient Index Approach

Siedlecki, Damian*; de Castro, Alberto; Gambra, Enrique; Ortiz, Sergio; Borja, David*; Uhlhorn, Stephen*; Manns, Fabrice*; Marcos, Susana*; Parel, Jean-Marie*

Optometry & Vision Science:
doi: 10.1097/OPX.0b013e3182508344
Imaging and Measurement of the Lens and Ciliary Body: Original Articles

Purpose. To propose a method to correct optical coherence tomography (OCT) images of posterior surface of the crystalline lens incorporating its gradient index (GRIN) distribution and explore its possibilities for posterior surface shape reconstruction in comparison to existing methods of correction.

Methods. Two-dimensional images of nine human lenses were obtained with a time-domain OCT system. The shape of the posterior lens surface was corrected using the proposed iterative correction method. The parameters defining the GRIN distribution used for the correction were taken from a previous publication. The results of correction were evaluated relative to the nominal surface shape (accessible in vitro) and compared with the performance of two other existing methods (simple division, refraction correction: assuming a homogeneous index). Comparisons were made in terms of posterior surface radius, conic constant, root mean square, peak to valley, and lens thickness shifts from the nominal data.

Results. Differences in the retrieved radius and conic constant were not statistically significant across methods. However, GRIN distortion correction with optimal shape GRIN parameters provided more accurate estimates of the posterior lens surface in terms of root mean square and peak values, with errors <6 and 13 μm, respectively, on average. Thickness was also more accurately estimated with the new method, with a mean discrepancy of 8 μm.

Conclusions. The posterior surface of the crystalline lens and lens thickness can be accurately reconstructed from OCT images, with the accuracy improving with an accurate model of the GRIN distribution. The algorithm can be used to improve quantitative knowledge of the crystalline lens from OCT imaging in vivo. Although the improvements over other methods are modest in two dimension, it is expected that three-dimensional imaging will fully exploit the potential of the technique. The method will also benefit from increasing experimental data of GRIN distribution in the lens of larger populations.

Author Information



Institute of Physics, Wroclaw University of Technology, Wroclaw, Poland (DS), Instituto de Óptica “Daza de Valdés”, Consejo Superior de Investigaciones Científicas, Madrid, Spain (DS, AdC, EG, SO, SM), Ophthalmic Biophysics Center, Bascom Palmer Eye Institute, University of Miami Miller School of Medicine, Miami, Florida (DB, SU, FM, J-MP), Biomedical Optics and Laser Laboratory, Department of Biomedical Engineering, University of Miami College of Engineering, Coral Gables, Florida (DB, SU, FM, J-MP), and Vision Cooperative Research Centre, Sydney, New South Wales, Australia (J-MP).

Received October 1, 2011; accepted January 9, 2012.

Damian Siedlecki Institute of Physics Wroclaw University of Technology Wybrzeze Wyspianskiego 27 50370 Wroclaw, Poland e-mail:

© 2012 American Academy of Optometry