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has been cited by the following article:

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

  AUTHORS: Anatoly Fabrikant, Guang-Ming Dai, Dimitri Chernyak

  KEYWORDS: Simulation-Driven Optimization; Downhill Simplex Method; Corneal Smoothing; LASIK

  JOURNAL NAME: Applied Mathematics, Vol.4 No.12, December 5, 2013

  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.