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Optimization of Linear Filtering Model to Predict Post-LASIK Corneal Smoothing Based on Training Data Sets

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DOI: 10.4236/am.2013.412230    3,187 Downloads   4,311 Views   Citations

ABSTRACT

Laser vision correction is a rapidly growing field for correcting nearsightedness, farsightedness as well as astigmatism with dominating laser-assisted in situ keratomileusis (LASIK) procedures. While the technique works well for correcting spherocylindrical aberrations, it does not fully correct high order aberrations (HOAs), in particular spherical aberration (SA), due to unexpected induction of HOAs post-surgery. Corneal epithelial remodeling was proposed as one source to account for such HOA induction process. This work proposes a dual-scale linear filtering kernel to model such a process. Several retrospective clinical data sets were used as training data sets to construct the model, with a downhill simplex algorithm to optimize the two free parameters of the kernel. The performance of the optimized kernel was testedon new clinical data sets that were not previously used for the optimization.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Fabrikant, A. , Dai, G. and Chernyak, D. (2013) Optimization of Linear Filtering Model to Predict Post-LASIK Corneal Smoothing Based on Training Data Sets. Applied Mathematics, 4, 1694-1701. doi: 10.4236/am.2013.412230.

References

[1] S. L. Trokel, R. Srinivasan, and B. Braren, “Excimer Laser Surgery of the Cornea,” American Journal of Ophthalmology, Vol. 96, No. 6, 1983, pp. 710-715.
[2] G.-M. Dai, “Wavefront Optics for Vision Correction,” SPIE Press, Bellingham, 2008.
http://dx.doi.org/10.1117/3.769212
[3] C. Roberts, “The Cornea Is Not a Piece of Plastic,” Journal of Refractive Surgery, Vol. 16, No. 4, 2000, pp. 407413.
[4] G. Yoon, S. MacRae, D. R. Williams and I. G. Cox, “Causes of Spherical Aberration Induced by Laser Refractive Surgery,” Journal of Cataract & Refractive Surgery, Vol. 31, No. 1, 2005, pp. 127-135.
http://dx.doi.org/10.1016/j.jcrs.2004.10.046
[5] S. V. Patel, J. C. Erie, J. W. McLaren and W. M. Bourne, “Confocal Microscopy Changes in Epithelial and Stromal Thickness up to 7 Years after LASIK and Photorefractive Keratectomy for Myopia,” Journal of Refractive Surgery, Vol. 23, No. 4, 2007, pp. 385-392.
[6] T. Oshika, K. Miyata, T. Tokunaga, T. Samejima, S. Amano, S. Tanaka, Y. Hirohara, T. Mihashi, N. Maeda and T. Fujikado, “Higher Order Wavefront Aberrations of Cornea and Magnitude of Refractive Correction in Laser in Situ Keratomileusis,” Ophtalmology, Vol. 109, No. 6, 2002, pp. 1154-1158.
http://dx.doi.org/10.1016/S0161-6420(02)01028-X
[7] D. Huang, M. Tang and R. Shekhar, “Mathematical Model of Cornea Surface Smoothing After Laser Refractive Surgery,” American Journal of Ophthalmology, Vol. 135, No. 3, 2003, pp. 267-278.
http://dx.doi.org/10.1016/S0002-9394(02)01942-6
[8] J. A. Nelder and R. Mead, “A Simplex Method for Function Minimization,” Computer Journal, Vol. 7, No. 4, 1965, pp. 308-313.
http://dx.doi.org/10.1093/comjnl/7.4.308
[9] W. H. Press, S. A. Teukolsky, W. T. Vettering and B. P. Flannery, “Numerical Recipes in C++,” Cambridge University Press, London, 2002.
[10] J. Porter, S. MacRae, G. Yoon, C. Roberts, I. Cox and D. Williams, “Separate Effects of the Microkeratome Incision and Laser Ablation on the Eye’s Wave Aberration,” American Journal of Ophthalmology, Vol. 136, No. 2, 2003, pp. 327-337.
http://dx.doi.org/10.1016/S0002-9394(03)00222-8
[11] I. G. Pallikaris, G. D. Kymionis, S. I. Panagopoulou, C. S. Siganos, M. A. Theodorakis and A. I. Pallikaris, “Induced Optical Aberrations Following Formation of a Laser in Situ Keratomileusis Flap,” Journal of Cataract & Refractive Surgery, Vol. 28, No. 10, 2002, pp. 1737-1741.
http://dx.doi.org/10.1016/S0886-3350(02)01507-9
[12] D. S. Durrie and G. M. Kezirian, “Femtosecond Laser versus Mechanical Keratome Flaps in Wavefront-Guided in Situ Keratomileusis: Prospective Contralateral Eye Study,” Journal of Cataract & Refractive Surgery, Vol. 31, No. 1, 2005, pp. 120-126.
http://dx.doi.org/10.1016/j.jcrs.2004.09.046
[13] D. B. Tran, M. A. Sarayba, Z. Bor, C. Garufis, Y. J. Duh, C. R. Soltes, T. Juhasz and R. M. Kurtz, “Randomized Prospective Clinical Study Comparing Induced Aberrations with Intralase and Hansatome Flap Creation in Fellow Eyes: Potential Impact on Wavefront-Guided Laser in Situ Keratomileusis,” Journal of Cataract & Refractive Surgery, Vol. 31, No. 1, 2005, pp. 97-105.
http://dx.doi.org/10.1016/j.jcrs.2004.10.037
[14] S. Bentow, A. Fabrikant and G.-M. Dai, “Site-Specific Adjustment of Post-Operative Induced Aberration for LASIK Refractive Surgery,” ARVO Abstract, 2013.

  
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