Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space

The classification of bean landraces based on their coloration is of particular interest, as the color of these plants is associated with the nutritional components present in their seeds. In this paper, the authors propose a procedure to identify the colors of heterogeneous color bean landraces bas...

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Main Authors: Adriana-Laura López-Lobato, Martha-Lorena Avendaño-Garrido, Héctor-Gabriel Acosta-Mesa, José-Luis Morales-Reyes, Elia-Nora Aquino-Bolaños
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematical and Computational Applications
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Online Access:https://www.mdpi.com/2297-8747/30/3/64
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author Adriana-Laura López-Lobato
Martha-Lorena Avendaño-Garrido
Héctor-Gabriel Acosta-Mesa
José-Luis Morales-Reyes
Elia-Nora Aquino-Bolaños
author_facet Adriana-Laura López-Lobato
Martha-Lorena Avendaño-Garrido
Héctor-Gabriel Acosta-Mesa
José-Luis Morales-Reyes
Elia-Nora Aquino-Bolaños
author_sort Adriana-Laura López-Lobato
collection DOAJ
description The classification of bean landraces based on their coloration is of particular interest, as the color of these plants is associated with the nutritional components present in their seeds. In this paper, the authors propose a procedure to identify the colors of heterogeneous color bean landraces based on the information from their digital images. The proposed methodology employs a three-dimensional histogram representation of the estimated color, expressed in the CIE L*a*b* color space, with an unsupervised learning method called the Gaussian Mixture Model. This approach facilitates the acquisition of representative information for the colors of a bean landrace, represented as points in the CIE L*a*b* color space. Furthermore, the <i>K</i>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mi>n</mi></mrow></semantics></math></inline-formula> method can be trained with these punctual representations to identify colors, yielding satisfactory results on landraces with homogeneous and heterogeneous seeds.
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spelling doaj-art-de6bea7aa4e44e5ca5d152f13e9bd3992025-06-25T14:09:10ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472025-06-013036410.3390/mca30030064Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color SpaceAdriana-Laura López-Lobato0Martha-Lorena Avendaño-Garrido1Héctor-Gabriel Acosta-Mesa2José-Luis Morales-Reyes3Elia-Nora Aquino-Bolaños4Artificial Intelligence Research Institute, University of Veracruz, Xalapa 91097, MexicoFaculty of Mathematics, University of Veracruz, Xalapa 91097, MexicoArtificial Intelligence Research Institute, University of Veracruz, Xalapa 91097, MexicoCenter for Food Research and Development, University of Veracruz, Xalapa 91190, MexicoCenter for Food Research and Development, University of Veracruz, Xalapa 91190, MexicoThe classification of bean landraces based on their coloration is of particular interest, as the color of these plants is associated with the nutritional components present in their seeds. In this paper, the authors propose a procedure to identify the colors of heterogeneous color bean landraces based on the information from their digital images. The proposed methodology employs a three-dimensional histogram representation of the estimated color, expressed in the CIE L*a*b* color space, with an unsupervised learning method called the Gaussian Mixture Model. This approach facilitates the acquisition of representative information for the colors of a bean landrace, represented as points in the CIE L*a*b* color space. Furthermore, the <i>K</i>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mi>n</mi></mrow></semantics></math></inline-formula> method can be trained with these punctual representations to identify colors, yielding satisfactory results on landraces with homogeneous and heterogeneous seeds.https://www.mdpi.com/2297-8747/30/3/64bean landrace analysisGaussian Mixture ModelGini indexCIE L*a*b* color spaceoptimization
spellingShingle Adriana-Laura López-Lobato
Martha-Lorena Avendaño-Garrido
Héctor-Gabriel Acosta-Mesa
José-Luis Morales-Reyes
Elia-Nora Aquino-Bolaños
Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
Mathematical and Computational Applications
bean landrace analysis
Gaussian Mixture Model
Gini index
CIE L*a*b* color space
optimization
title Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
title_full Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
title_fullStr Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
title_full_unstemmed Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
title_short Color Identification on Heterogeneous Bean Landrace Seeds Using Gaussian Mixture Models in CIE L*a*b* Color Space
title_sort color identification on heterogeneous bean landrace seeds using gaussian mixture models in cie l a b color space
topic bean landrace analysis
Gaussian Mixture Model
Gini index
CIE L*a*b* color space
optimization
url https://www.mdpi.com/2297-8747/30/3/64
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