Skip to main content
Top
Published in: Neural Computing and Applications 12/2019

28-11-2018 | Original Article

Superpixels for large dataset subspace clustering

Authors: Kewei Tang, Zhixun Su, Wei Jiang, Jie Zhang

Published in: Neural Computing and Applications | Issue 12/2019

Log in

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

search-config
loading …

Abstract

Due to the numerous applications in computer vision, subspace clustering has been extensively studied in the past two decades. Most research puts emphasis on the spectral clustering-based methods in the recent years. This kind of methods usually extracts the affinity by the self-representation of the data points. Although they achieve the state-of-the-art results, the computation time will be unbearable when the number of the data points is large enough. In addition, the self-representation only considers the information provided by each single data point. In this paper, inspired by the idea of the superpixels in image segmentation, we first propose superpixels for subspace clustering with the large dataset. Then, we provide the strategy for the popular spectral clustering-based methods using these superpixels. Experimental results confirm that our superpixel-based subspace clustering methods can improve the computation speed dramatically. In addition, since the superpixels can consider the information provided by the group of data points, these methods can also improve the performance to some extent.

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

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!

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+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!

Appendix
Available only for authorised users
Literature
1.
go back to reference Achanta R, Shaji A, Smith K, Lucchi A, Fua P, Süsstrunk S (2012) SLIC superpixels compared to state-of-the-art superpixel methods. IEEE Trans Pattern Anal Mach Intell 34(11):2274–2282CrossRef Achanta R, Shaji A, Smith K, Lucchi A, Fua P, Süsstrunk S (2012) SLIC superpixels compared to state-of-the-art superpixel methods. IEEE Trans Pattern Anal Mach Intell 34(11):2274–2282CrossRef
2.
go back to reference Basri R, Jacobs DW (2003) Lambertian reflectance and linear subspaces. IEEE Trans Pattern Anal Mach Intell 25(2):218–233CrossRef Basri R, Jacobs DW (2003) Lambertian reflectance and linear subspaces. IEEE Trans Pattern Anal Mach Intell 25(2):218–233CrossRef
4.
go back to reference Costeira JP, Kanade T (1998) A multibody factorization method for independently moving objects. Int J Comput Vis 29(3):159–179CrossRef Costeira JP, Kanade T (1998) A multibody factorization method for independently moving objects. Int J Comput Vis 29(3):159–179CrossRef
5.
go back to reference Elhamifar E, Vidal R (2009) Sparse subspace clustering. In: CVPR, pp 2790–2797 Elhamifar E, Vidal R (2009) Sparse subspace clustering. In: CVPR, pp 2790–2797
6.
go back to reference Elhamifar E, Vidal R (2013) Sparse subspace clustering: algorithm, theory, and applications. IEEE Trans Pattern Anal Mach Intell 35(11):2765–2781CrossRef Elhamifar E, Vidal R (2013) Sparse subspace clustering: algorithm, theory, and applications. IEEE Trans Pattern Anal Mach Intell 35(11):2765–2781CrossRef
7.
go back to reference Felzenszwalb PF, Huttenlocher DP (2004) Efficient graph-based image segmentation. Int J Comput Vis 59(2):167–181CrossRef Felzenszwalb PF, Huttenlocher DP (2004) Efficient graph-based image segmentation. Int J Comput Vis 59(2):167–181CrossRef
8.
go back to reference Golub GH, Loan CFV (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, BaltimoreMATH Golub GH, Loan CFV (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, BaltimoreMATH
9.
go back to reference Ham J, Lee DD (2008) Grassmann discriminant analysis: a unifying view on subspace-based learning. In: ICML, pp 376–383 Ham J, Lee DD (2008) Grassmann discriminant analysis: a unifying view on subspace-based learning. In: ICML, pp 376–383
11.
go back to reference Haykin S, Kosko B (2009) Gradient based learning applied to document recognition. In: IEEE, pp 306–351 Haykin S, Kosko B (2009) Gradient based learning applied to document recognition. In: IEEE, pp 306–351
12.
go back to reference Ho J, Yang MH, Lim J, Lee KC, Kriegman DJ (2003) Clustering appearances of objects under varying illumination conditions. In: CVPR, pp 11–18 Ho J, Yang MH, Lim J, Lee KC, Kriegman DJ (2003) Clustering appearances of objects under varying illumination conditions. In: CVPR, pp 11–18
13.
go back to reference Lee K, Ho J, Kriegman DJ (2005) Acquiring linear subspaces for face recognition under variable lighting. IEEE Trans Pattern Anal Mach Intell 27(5):684–698CrossRef Lee K, Ho J, Kriegman DJ (2005) Acquiring linear subspaces for face recognition under variable lighting. IEEE Trans Pattern Anal Mach Intell 27(5):684–698CrossRef
14.
go back to reference Li Z, Chen J (2015) Superpixel segmentation using linear spectral clustering. In: CVPR, pp 1356–1363 Li Z, Chen J (2015) Superpixel segmentation using linear spectral clustering. In: CVPR, pp 1356–1363
15.
go back to reference Lin Z, Chen M, Wu L, Ma Y (2009) The augmented Lagrange multiplier method for exact recovery of corrupted low-rank matrices. UIUC Technical Report, UILU-ENG-09-2215 Lin Z, Chen M, Wu L, Ma Y (2009) The augmented Lagrange multiplier method for exact recovery of corrupted low-rank matrices. UIUC Technical Report, UILU-ENG-09-2215
16.
go back to reference Lin Z, Liu R, Su Z (2011) Linearized alternating direction method with adaptive penalty for low-rank representation. In: NIPS, pp 612–620 Lin Z, Liu R, Su Z (2011) Linearized alternating direction method with adaptive penalty for low-rank representation. In: NIPS, pp 612–620
17.
go back to reference Liu G, Lin Z, Yan S, Sun J, Yu Y, Ma Y (2013) Robust recovery of subspace structures by low-rank representation. IEEE Trans Pattern Anal Mach Intell 35(1):171–184CrossRef Liu G, Lin Z, Yan S, Sun J, Yu Y, Ma Y (2013) Robust recovery of subspace structures by low-rank representation. IEEE Trans Pattern Anal Mach Intell 35(1):171–184CrossRef
18.
go back to reference Liu G, Lin Z, Yu Y (2010) Robust subspace segmentation by low-rank representation. In: ICML, pp 663–670 Liu G, Lin Z, Yu Y (2010) Robust subspace segmentation by low-rank representation. In: ICML, pp 663–670
19.
go back to reference Liu R, Lin Z, la Torre FD, Su Z (2012) Fixed-rank representation for unsupervised visual learning. In: CVPR, pp 598–605 Liu R, Lin Z, la Torre FD, Su Z (2012) Fixed-rank representation for unsupervised visual learning. In: CVPR, pp 598–605
20.
go back to reference Lowe DG (1999) Object recognition from local scale-invariant features. In: ICCV, pp 1150–1157 Lowe DG (1999) Object recognition from local scale-invariant features. In: ICCV, pp 1150–1157
21.
go back to reference Nene SA, Nayar SK, Murase H (1996) Columbia object image library (coil-20). Technical Report, CUCS-005-96 Nene SA, Nayar SK, Murase H (1996) Columbia object image library (coil-20). Technical Report, CUCS-005-96
22.
go back to reference Ojala T, Pietikäinen M, Mäenpää T (2000) Gray scale and rotation invariant texture classification with local binary patterns. In: ECCV, pp 404–420 Ojala T, Pietikäinen M, Mäenpää T (2000) Gray scale and rotation invariant texture classification with local binary patterns. In: ECCV, pp 404–420
23.
go back to reference Peng X, Zhang L, Yi Z (2013) Scalable sparse subspace clustering. In: CVPR, pp 430–437 Peng X, Zhang L, Yi Z (2013) Scalable sparse subspace clustering. In: CVPR, pp 430–437
24.
go back to reference Ren X, Malik J (2003) Learning a classification model for segmentation. In: ICCV, pp 10–17 Ren X, Malik J (2003) Learning a classification model for segmentation. In: ICCV, pp 10–17
25.
go back to reference Shi J, Malik J (2000) Normalized cuts and image segmentation. IEEE Trans Pattern Anal Mach Intell 22(8):888–905CrossRef Shi J, Malik J (2000) Normalized cuts and image segmentation. IEEE Trans Pattern Anal Mach Intell 22(8):888–905CrossRef
26.
go back to reference Soltanolkotabi M, Candès EJ (2012) A geometric analysis of subspace clustering with outliers. Ann Stat 40(4):2195–2238MathSciNetCrossRef Soltanolkotabi M, Candès EJ (2012) A geometric analysis of subspace clustering with outliers. Ann Stat 40(4):2195–2238MathSciNetCrossRef
27.
go back to reference Tang K, Dunson DB, Su Z, Liu R, Zhang J, Dong J (2016) Subspace segmentation by dense block and sparse representation. Neural Netw 75:66–76CrossRef Tang K, Dunson DB, Su Z, Liu R, Zhang J, Dong J (2016) Subspace segmentation by dense block and sparse representation. Neural Netw 75:66–76CrossRef
28.
go back to reference Tang K, Liu R, Su Z, Zhang J (2014) Structure-constrained low-rank representation. IEEE Trans Neural Netw Learn Syst 25(12):2167–2179CrossRef Tang K, Liu R, Su Z, Zhang J (2014) Structure-constrained low-rank representation. IEEE Trans Neural Netw Learn Syst 25(12):2167–2179CrossRef
29.
go back to reference Tang K, Liu X, Su Z, Jiang W, Dong J (2016) Subspace learning based low-rank representation. In: ACCV, pp 416–431 Tang K, Liu X, Su Z, Jiang W, Dong J (2016) Subspace learning based low-rank representation. In: ACCV, pp 416–431
31.
go back to reference Tang K, Zhang J, Su Z, Dong J (2016) Bayesian low-rank and sparse nonlinear representation for manifold clustering. Neural Process Lett 44(3):719–733CrossRef Tang K, Zhang J, Su Z, Dong J (2016) Bayesian low-rank and sparse nonlinear representation for manifold clustering. Neural Process Lett 44(3):719–733CrossRef
32.
33.
go back to reference Wang Y, Xu H, Leng C (2013) Provable subspace clustering: When LRR meets SSC. In: NIPS, pp 64–72 Wang Y, Xu H, Leng C (2013) Provable subspace clustering: When LRR meets SSC. In: NIPS, pp 64–72
34.
go back to reference Yan J, Pollefeys M (2006) A general framework for motion segmentation: independent, articulated, rigid, non-rigid, degenerate and non-degenerate. In: ECCV, pp 94–106 Yan J, Pollefeys M (2006) A general framework for motion segmentation: independent, articulated, rigid, non-rigid, degenerate and non-degenerate. In: ECCV, pp 94–106
35.
go back to reference You C, Robinson DP, Vidal R (2016) Scalable sparse subspace clustering by orthogonal matching pursuit. In: CVPR, pp 3918–3927 You C, Robinson DP, Vidal R (2016) Scalable sparse subspace clustering by orthogonal matching pursuit. In: CVPR, pp 3918–3927
36.
go back to reference Zhang H, Wang S, Xu X, Chow T, Wu Q (2018) Tree2vector: learning a vectorial representation for tree-structured data. IEEE Trans Neural Netw Learn Syst 29(11):5304–5318MathSciNetCrossRef Zhang H, Wang S, Xu X, Chow T, Wu Q (2018) Tree2vector: learning a vectorial representation for tree-structured data. IEEE Trans Neural Netw Learn Syst 29(11):5304–5318MathSciNetCrossRef
Metadata
Title
Superpixels for large dataset subspace clustering
Authors
Kewei Tang
Zhixun Su
Wei Jiang
Jie Zhang
Publication date
28-11-2018
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 12/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-3914-2

Other articles of this Issue 12/2019

Neural Computing and Applications 12/2019 Go to the issue

Premium Partner