2011
DOI: 10.1007/s00521-011-0538-1
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Color image segmentation using nonparametric mixture models with multivariate orthogonal polynomials

Abstract: To solve the problem of over-reliance on a priori assumptions of the parametric methods for finite mixture models and the problem that monic Chebyshev orthogonal polynomials can only process the gray images, a segmentation method of mixture models of multivariate Chebyshev orthogonal polynomials for color image was proposed in this paper. First, the multivariate Chebyshev orthogonal polynomials are derived by the Fourier analysis and tensor product theory, and the nonparametric mixture models of multivariate o… Show more

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Cited by 12 publications
(9 citation statements)
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“…The mean shift clustering is employed to translate laws into analysis of color layout of an image. In [106] was presented a segmentation method of mixture models of multivariare Chebyshec orthogonal polynomials for color image to solve the problem of over-reliance on a priori assumptions of the parametric methods for finite mixture models and the problem that monic Chebyshev orthogonal polynomials can only process the gray images. The multivariate Chebyshev orthogonal polynomials are derived by the Fourier analysis and tensor product theory, and the nonparametric mixture models of multivariate orthogonal polynomials are proposed.…”
Section: Model-based Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The mean shift clustering is employed to translate laws into analysis of color layout of an image. In [106] was presented a segmentation method of mixture models of multivariare Chebyshec orthogonal polynomials for color image to solve the problem of over-reliance on a priori assumptions of the parametric methods for finite mixture models and the problem that monic Chebyshev orthogonal polynomials can only process the gray images. The multivariate Chebyshev orthogonal polynomials are derived by the Fourier analysis and tensor product theory, and the nonparametric mixture models of multivariate orthogonal polynomials are proposed.…”
Section: Model-based Methodsmentioning
confidence: 99%
“…RGB [8,22,30,51,68,72,94,106,108,119,136,142,146,157,165,170] HSV [30,67,69,100,105,118,137,150,189] HSI [30,67,69,100,105,118,137,150,189] L * a * b * [22,30,66,81,94,139,185] L * u * v * [30,125,155,160,165,191,193] YUV [23,26,27,80,…”
Section: Color Space Referencesmentioning
confidence: 99%
“…Greggio et al 130 instituted a fast GMM (FGMM)-based segmentation protocol that automatically inferred the number of components of a GMM as well as their corresponding means and covariances, without necessitating any prior knowledge or conscientious initialization. In contrast to some of the above-described GMM-based approaches, Liu et al 131 advocated the use of nonparametric Fig. 16 Results of the GRF-based segmentation algorithm in Vantaram et al 124 Journal of Electronic Imaging 040901-16 Oct-Dec 2012/Vol.…”
Section: Bayesian Segmentation Techniquesmentioning
confidence: 99%
“…Previous works have employed several techniques (Aghbarii and Haj, 2006;Carel et al, 2013;Liu et al, 2012;Mignotte, 2010;Mignotte, 2014;Rashedi and Nezamabadi-pour, 2013); but, most of them employ cluster-based methods, particularly Fuzzy C-Means (FCM) (Guo and Sengur, 2013;Huang et al, 2011;Kim, 2014; Mujica-Vargas, Attribution 4.0 International (CC BY 4.0) Share -Adapt Gallegos-Funes and Rosales-Silva, 2013;Nadernejad and Sharifzadeh, 2013;Wang and Dong, 2012). By employing cluster-based methods, groups of colors with similar characteristics are created.…”
Section: Introductionmentioning
confidence: 99%