Skip to main content

A Segmentation Model and Application to Endoscopic Images

  • Conference paper
Image Analysis and Recognition (ICIAR 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7325))

Included in the following conference series:

Abstract

In this paper a variational segmentation model is proposed. It is a generalization of the Chan and Vese model, for the scalar and vector-valued cases. It incorporates extra terms, depending on the image gradient, and aims at approximating the smoothed image gradient norm, inside and outside the segmentation curve, by mean constant values. As a result, a flexible model is obtained. It segments, more accurately, any object displaying many oscillations in its interior. In effect, an external contour of the object, as a whole, is achieved, together with internal contours, inside the object. For determining the approximate solution a Levenberg-Marquardt Newton-type optimization method is applied to the finite element discretization of the model. Experiments on in vivo medical endoscopic images (displaying aberrant colonic crypt foci) illustrate the efficacy of this model.

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

Access this chapter

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adler, D.G., Gostout, C.J., Sorbi, D., et al.: Endoscopic identification and quantification of the aberrant crypt in the human colon. Gastrointestinal Endoscopy 56, 657–662 (2002)

    Article  Google Scholar 

  2. Chan, T.F., Esedöglu, S., Nikolova, M.: Algorithms for finding global minimizers of image segmentation and denoising models. SIAM J. Appl. Math. 66(5), 1632–1648 (2006) (electronic)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chan, T.F., Vese, L.A.: Active contours without edges. IEEE Trans. Image Processing 10(2), 266–277 (2001)

    Article  MATH  Google Scholar 

  4. Chan, T.F., Sandberg, B.Y., Vese, L.A.: Active Contours without Edges for Vector-Valued Images. Journal of Visual Communication and Image Representation 11(2), 130–141 (2000)

    Article  Google Scholar 

  5. Comsol Multiphysics®, http://www.comsol.com/

  6. Figueiredo, I.N., Figueiredo, P.N., Stadler, G., Almeida, N., Ghattas, O., Araújo, O.: Variational Image Segmentation for Endoscopic human colonic aberrant crypt foci. IEEE Transactions on Medical Imaging 29(4), 998–1011 (2010)

    Article  Google Scholar 

  7. Goldstein, T., Bresson, X., Osher, S.: Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction. Journal of Scientific Computing, 1–22 (2009), doi:10.1007/s10915-009-9331-z

    Google Scholar 

  8. Roncucci, L., Medline, A., Bruce, W.R.: Classification of aberrant crypt foci and microadenomas in human colon. Cancer Epidemiology, Biomarkers & Prevention 1, 57–60 (1991)

    Google Scholar 

  9. Takayama, T., Katsuki, S., Takahashi, Y., et al.: Aberrant crypt foci of the colon as precursors of adenoma and cancer. The New England Journal of Medicine 339, 1277–1284 (1998)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Figueiredo, I.N., Moreno, J.C., Prasath, V.B.S., Figueiredo, P.N. (2012). A Segmentation Model and Application to Endoscopic Images. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2012. Lecture Notes in Computer Science, vol 7325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31298-4_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31298-4_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31297-7

  • Online ISBN: 978-3-642-31298-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics