Sáez-Gutiérrez, F.L.; Velázquez, J.S.; del Barrio, J.A.; Alio, J.L.; Cavas, F. Novel Multivariable Evolutionary Algorithm-Based Method for Modal Reconstruction of the Corneal Surface from Sparse and Incomplete Point Clouds. Bioengineering 2023, 10, 989, doi:10.3390/bioengineering10080989.
Sáez-Gutiérrez, F.L.; Velázquez, J.S.; del Barrio, J.A.; Alio, J.L.; Cavas, F. Novel Multivariable Evolutionary Algorithm-Based Method for Modal Reconstruction of the Corneal Surface from Sparse and Incomplete Point Clouds. Bioengineering 2023, 10, 989, doi:10.3390/bioengineering10080989.
Sáez-Gutiérrez, F.L.; Velázquez, J.S.; del Barrio, J.A.; Alio, J.L.; Cavas, F. Novel Multivariable Evolutionary Algorithm-Based Method for Modal Reconstruction of the Corneal Surface from Sparse and Incomplete Point Clouds. Bioengineering 2023, 10, 989, doi:10.3390/bioengineering10080989.
Sáez-Gutiérrez, F.L.; Velázquez, J.S.; del Barrio, J.A.; Alio, J.L.; Cavas, F. Novel Multivariable Evolutionary Algorithm-Based Method for Modal Reconstruction of the Corneal Surface from Sparse and Incomplete Point Clouds. Bioengineering 2023, 10, 989, doi:10.3390/bioengineering10080989.
Abstract
Three-Dimensional reconstruction of the corneal surface provides a powerful tool for managing corneal diseases. This study proposes a novel method for reconstructing the corneal surface from elevation point clouds, using modal schemes capable of reproducing corneal shapes using surface polynomial functions. The multivariable polynomial fitting was performed using a non-dominated sorting multivariable genetic algorithm (NS-MVGA). Standard reconstruction methods using least-squares discrete fitting (LSQ) and sequential quadratic programming (SQP) were compared with the evolutionary algorithm-based approach. The study included 49 eyes of 49 patients (ages 11-63) sorted in two groups: control (33 eyes) and keratoconus (KC) (16 eyes). Tomographic information (Sirius, Costruzione Strumenti Oftalmici, Italy) was processed using Matlab. The goodness of fit for each method was evaluated using mean squared error (MSE), measured at the same nodes where the elevation data were collected. Polynomial fitting based on NS-MVGA improves MSE values by 86% compared to LSQ-based methods in healthy patients. Moreover, this new method improves aberrated surface reconstruction by 43% for Amsler-Krumeich (AK) Grade 1 keratoconus patients. Finally, significant improvements were also found in morpho-geometric parameters, such as asphericity and corneal curvature radii.
Keywords
GA; corneal surface reconstruction; CAD
Subject
Engineering, Bioengineering
Copyright:
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