Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint

Nowadays, metaheuristic algorithms have been applied to optimize last lower-surface models. Also, the last lower-surface model has been adjusted through the computational algorithms to perform custom shoe lasts. Therefore, it is necessary to implement nature-inspired metaheuristic algorithms to perf...

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Main Author: J. Apolinar Muñoz Rodríguez
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Biomimetics
Subjects:
Online Access:https://www.mdpi.com/2313-7673/9/11/699
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author J. Apolinar Muñoz Rodríguez
author_facet J. Apolinar Muñoz Rodríguez
author_sort J. Apolinar Muñoz Rodríguez
collection DOAJ
description Nowadays, metaheuristic algorithms have been applied to optimize last lower-surface models. Also, the last lower-surface model has been adjusted through the computational algorithms to perform custom shoe lasts. Therefore, it is necessary to implement nature-inspired metaheuristic algorithms to perform the adjustment of last lower-surface model to the footprint topography. In this study, a metaheuristic genetic algorithm is implemented to adjust the last lower surface model to the footprint topography. The genetic algorithm is constructed through an objective function, which is defined through the last lower Bezier model and footprint topography, where a mean error function moves the last lower surface toward the footprint topography through the initial population. Also, the search space is deduced from the last lower surface and footprint topography. In this way, the genetic algorithm performs explorations and exploitations to optimize a Bezier surface model, which generates the adjusted last lower surface, where the surface is recovered via laser line scanning. Thus, the metaheuristic algorithm enhances the last lower-surface adjustment to improve the custom last manufacture. This contribution is elucidated by a discussion based on the proposed metaheuristic algorithm for surface model adjustment and the optimization methods implemented in recent years.
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spelling doaj-art-911da42b75a140a49861c1ede9550b082024-11-26T17:53:46ZengMDPI AGBiomimetics2313-76732024-11-0191169910.3390/biomimetics9110699Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a FootprintJ. Apolinar Muñoz Rodríguez0Centro de Investigaciones en Óptica, A. C., Lomas del Bosque 115, Col. Comas del Campestre, León 37000, GTO, MexicoNowadays, metaheuristic algorithms have been applied to optimize last lower-surface models. Also, the last lower-surface model has been adjusted through the computational algorithms to perform custom shoe lasts. Therefore, it is necessary to implement nature-inspired metaheuristic algorithms to perform the adjustment of last lower-surface model to the footprint topography. In this study, a metaheuristic genetic algorithm is implemented to adjust the last lower surface model to the footprint topography. The genetic algorithm is constructed through an objective function, which is defined through the last lower Bezier model and footprint topography, where a mean error function moves the last lower surface toward the footprint topography through the initial population. Also, the search space is deduced from the last lower surface and footprint topography. In this way, the genetic algorithm performs explorations and exploitations to optimize a Bezier surface model, which generates the adjusted last lower surface, where the surface is recovered via laser line scanning. Thus, the metaheuristic algorithm enhances the last lower-surface adjustment to improve the custom last manufacture. This contribution is elucidated by a discussion based on the proposed metaheuristic algorithm for surface model adjustment and the optimization methods implemented in recent years.https://www.mdpi.com/2313-7673/9/11/699metaheuristic genetic algorithmsBezier surface modellaser line scanninglast lower-surface adjustment
spellingShingle J. Apolinar Muñoz Rodríguez
Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
Biomimetics
metaheuristic genetic algorithms
Bezier surface model
laser line scanning
last lower-surface adjustment
title Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
title_full Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
title_fullStr Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
title_full_unstemmed Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
title_short Metaheuristic Algorithm and Laser Projection for Adjusting the Model of the Last Lower Surface to a Footprint
title_sort metaheuristic algorithm and laser projection for adjusting the model of the last lower surface to a footprint
topic metaheuristic genetic algorithms
Bezier surface model
laser line scanning
last lower-surface adjustment
url https://www.mdpi.com/2313-7673/9/11/699
work_keys_str_mv AT japolinarmunozrodriguez metaheuristicalgorithmandlaserprojectionforadjustingthemodelofthelastlowersurfacetoafootprint