Skip to main content
SpringerLink
Log in

Supervised 2-Phase Segmentation of Porous Media with Known Porosity

  • Conference paper
  • First Online:
Large-Scale Scientific Computing (LSSC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9374))

Included in the following conference series:

Abstract

Porous media segmentation is a nontrivial and often quite inaccurate process, due to the highly irregular structure of the segmentation phases and the huge interaction among them. In this paper we perform a 2-class segmentation of a gray-scale 3D image under the restriction that the number of voxels within the phases are a priori fixed. Two parallel algorithms, based on the graph 2-Laplacian model [1] are proposed, implemented, and numerically tested.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Kang, S.H., Shafei, B., Steidl, G.: Supervised and transductive multi-class segmentation using \(p\)-Laplacians and RKHS methods. J. Vis. Commun. Image Represent. 25(5), 1136–1148 (2014)

    Article  Google Scholar 

  2. Shi, J., Szalam, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2000)

    Article  Google Scholar 

  3. von Luxburg, U.: A tutorial on spectral clustering. Stat. Comput. 17(4), 395–416 (2007)

    Article  MathSciNet  Google Scholar 

  4. Law, N.Y., Lee, H.K., Ng, M.K., Yip, A.M.: A semisupervised segmentation model for collections of images. IEEE Trans. Image Process. 21(6), 2955–2968 (2012)

    Article  MathSciNet  Google Scholar 

  5. Natarajan, B.K.: Sparse approximate solutions to linear systems. SIAM J. Comput. 24(2), 227–234 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  6. Amghibech, S.: Eigenvalues of the discrete \(p\)-Laplacian for graphs. Ars Comb. 67, 283–302 (2003)

    MATH  MathSciNet  Google Scholar 

  7. Bühler, T., Hein, M.: Spectral clustering based on the graph \(p\)-Laplacian. In: Proceedings of the 26th Annual International Conference on Machine Learning, pp. 81–88 (2009)

    Google Scholar 

  8. Axelsson, A.: Iterative Solution Methods. Cambridge University Press, Cambridge (1994)

    Book  MATH  Google Scholar 

  9. Beller, G., Burkhart, M., Felsenberg, D., Gowin, W., Hege, H.-C., Koller, B., Prohaska, S., Saparin, P., Thomsen, J.: Vertebral Body Data Set ESA29-99-L3. http://bone3d.zib.de/data/2005/ESA29-99-L3/

  10. Teuber, T., Steidl, G., Chan, R.H.: Minimization and parameter estimation for seminorm regularization models with I-divergence constraints. Inverse Prob. 29, 1–28 (2013)

    Article  MathSciNet  Google Scholar 

  11. Dagum, L., Menon, R.: OpenMP: an industry-standard API for shared-memory programming. IEEE Comput. Sci. Eng. 5(1), 46–55 (1998)

    Article  Google Scholar 

Download references

Acknowledgements

The research is partly supported by the project AComIn “Advanced Computing for Innovation”, grant 316087, funded by the FP7 Capacity Program.

Author information

Authors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Science, Sofia, Bulgaria

    Ivan Georgiev, Stanislav Harizanov & Yavor Vutov

Authors
  1. Ivan Georgiev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Stanislav Harizanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yavor Vutov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Stanislav Harizanov .

Editor information

Editors and Affiliations

  1. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Inst. of Inform. & Communication, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar D. Margenov

  3. Informatics and Mathematical Modell, Technical University of Denmark, Kongens Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Georgiev, I., Harizanov, S., Vutov, Y. (2015). Supervised 2-Phase Segmentation of Porous Media with Known Porosity. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2015. Lecture Notes in Computer Science(), vol 9374. Springer, Cham. https://doi.org/10.1007/978-3-319-26520-9_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26520-9_38

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26519-3

  • Online ISBN: 978-3-319-26520-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation