Skip to main content
Top

2019 | OriginalPaper | Chapter

Spatially-Coherent Segmentation Using Hierarchical Gaussian Mixture Reduction Based on Cauchy-Schwarz Divergence

Authors : Adama Nouboukpo, Mohand Said Allili

Published in: Image Analysis and Recognition

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Gaussian mixture models (GMM) are widely used for image segmentation. The bigger the number in the mixture, the higher will be the data likelihood. Unfortunately, too many GMM components leads to model overfitting and poor segmentation. Thus, there has been a growing interest in GMM reduction algorithms that rely on component fusion while preserving the structure of data. In this work, we present an algorithm based on a closed-form Cauchy-Schwarz divergence for GMM reduction. Contrarily to previous GMM reduction techniques which a single GMM, our approach can lead to multiple small GMMs describing more accurately the structure of the data. Experiments on image foreground segmentation demonstrate the effectiveness of our proposed model compared to state-of-art methods.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Achanta, R., Shaji, A., et al.: SLIC superpixels compared to state-of-the-art superpixel methods. IEEE TPAMI 34(11), 2274–2282 (2012)CrossRef Achanta, R., Shaji, A., et al.: SLIC superpixels compared to state-of-the-art superpixel methods. IEEE TPAMI 34(11), 2274–2282 (2012)CrossRef
2.
go back to reference Allili, M.S., Ziou, D., et al.: Image and video segmentation by combining unsupervised generalized Gaussian mixture modeling and feature selection. IEEE TCSVT 20(10), 1373–1377 (2010) Allili, M.S., Ziou, D., et al.: Image and video segmentation by combining unsupervised generalized Gaussian mixture modeling and feature selection. IEEE TCSVT 20(10), 1373–1377 (2010)
3.
go back to reference Allili, M.S.: Effective object tracking by matching object and background models using active contours. In: IEEE ICIP, pp. 873–876 (2009) Allili, M.S.: Effective object tracking by matching object and background models using active contours. In: IEEE ICIP, pp. 873–876 (2009)
4.
go back to reference Allili, M.S., Ziou, D.: Automatic colour-texture image segmentation using active contours. Int. J. Comput. Math. 84(9), 1325–1338 (2007)MathSciNetCrossRef Allili, M.S., Ziou, D.: Automatic colour-texture image segmentation using active contours. Int. J. Comput. Math. 84(9), 1325–1338 (2007)MathSciNetCrossRef
5.
go back to reference Boulmerka, A., Allili, M.S., et al.: A generalized multiclass histogram thresholding approach based on mixture modelling. PR 47(3), 1330–1348 (2014) Boulmerka, A., Allili, M.S., et al.: A generalized multiclass histogram thresholding approach based on mixture modelling. PR 47(3), 1330–1348 (2014)
6.
go back to reference Chen, H.D., Chang, K.C., Smith, C.: Constraint optimized weight adaptation for Gaussian mixture reduction. In: Signal Processing, Sensor Fusion, and Target Recognition, SPIE, vol. 7697 (2010) Chen, H.D., Chang, K.C., Smith, C.: Constraint optimized weight adaptation for Gaussian mixture reduction. In: Signal Processing, Sensor Fusion, and Target Recognition, SPIE, vol. 7697 (2010)
7.
go back to reference Cheng, M.-M., Mitra, N.J., et al.: Global contrast based salient region detection. IEEE TPAMI 37(3), 569–582 (2015)CrossRef Cheng, M.-M., Mitra, N.J., et al.: Global contrast based salient region detection. IEEE TPAMI 37(3), 569–582 (2015)CrossRef
8.
go back to reference Crouse, D.F., Willett, P., et al.: A look at Gaussian mixture reduction algorithms. In: IEEE International Conference on Information Fusion, pp. 1–8 (2011) Crouse, D.F., Willett, P., et al.: A look at Gaussian mixture reduction algorithms. In: IEEE International Conference on Information Fusion, pp. 1–8 (2011)
9.
go back to reference Dempster, A.P., Laird, N.M., et al.: Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Stat. Soc. B 39(1), 1–38 (1977)MathSciNetMATH Dempster, A.P., Laird, N.M., et al.: Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Stat. Soc. B 39(1), 1–38 (1977)MathSciNetMATH
10.
go back to reference Filali, I., Allili, M.S., et al.: Multi-scale salient object detection using graph ranking and global-local saliency refinement. Sig. Process. Image Commun. 47, 380–401 (2016)CrossRef Filali, I., Allili, M.S., et al.: Multi-scale salient object detection using graph ranking and global-local saliency refinement. Sig. Process. Image Commun. 47, 380–401 (2016)CrossRef
11.
go back to reference Figueiredo, M.T., Jain, A.K.: Unsupervised learning of finite mixture models. IEEE TPAMI 24(3), 381–396 (2002)CrossRef Figueiredo, M.T., Jain, A.K.: Unsupervised learning of finite mixture models. IEEE TPAMI 24(3), 381–396 (2002)CrossRef
13.
go back to reference Goldberger, J., Roweis, S.T.: Hierarchical clustering of a mixture model. In: NIPS, pp. 505–512 (2005) Goldberger, J., Roweis, S.T.: Hierarchical clustering of a mixture model. In: NIPS, pp. 505–512 (2005)
14.
go back to reference Hershey, J.R., Olsen, P.: Approximating the Kullback-Leibler divergence between Gaussian mixture models. In: IEEE ICASSP, pp. 317–320 (2007) Hershey, J.R., Olsen, P.: Approximating the Kullback-Leibler divergence between Gaussian mixture models. In: IEEE ICASSP, pp. 317–320 (2007)
16.
go back to reference Kampa, K., Hasanbelliu, E., Principe, J.: Closed-form Cauchy-Schwarz PDF divergence for mixture of Gaussians. In: IEEE IJCNN, pp. 2578–2585 (2011) Kampa, K., Hasanbelliu, E., Principe, J.: Closed-form Cauchy-Schwarz PDF divergence for mixture of Gaussians. In: IEEE IJCNN, pp. 2578–2585 (2011)
17.
go back to reference Runnalls, A.R.: Kullback-Leibler approach to Gaussian mixture reduction. IEEE TAES 43(3), 989–999 (2007) Runnalls, A.R.: Kullback-Leibler approach to Gaussian mixture reduction. IEEE TAES 43(3), 989–999 (2007)
Metadata
Title
Spatially-Coherent Segmentation Using Hierarchical Gaussian Mixture Reduction Based on Cauchy-Schwarz Divergence
Authors
Adama Nouboukpo
Mohand Said Allili
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-27202-9_35

Premium Partner