Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Novel Multivariable Evolutionary Algorithm-Based Method for Modal Reconstruction of the Corneal Surface from Sparse and Incomplete Point Clouds

Francisco L. Sáez-Gutiérrez
ORCID logo ,
José S. Velázquez
ORCID logo ,
Jorge L. Alió del Barrio
ORCID logo ,
Jorge L. Alió
,
Francisco Cavas
* ORCID logo
Version 1 : Received: 22 May 2023 / Approved: 23 May 2023 / Online: 23 May 2023 (10:58:00 CEST)

A peer-reviewed article of this Preprint also exists.

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: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Download PDF

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0
Get PDF Cite Share 0
Bookmark BibSonomy Mendeley Reddit Delicious
×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.