Skip to main content

Probabilistic Fitting of Active Shape Models

  • Conference paper
  • First Online:
Shape in Medical Imaging (ShapeMI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11167))

Included in the following conference series:

Abstract

Active Shape Models (ASMs) are a classical and widely used approach for fitting shape models to images. In this paper, we propose a fully probabilistic interpretation of ASM fitting as Bayesian inference. To infer the posterior, we use the Metropolis-Hastings algorithm. We then use the maximum a posteriori sample as the segmentation result. Our approach has several advantages compared to classical ASM fitting: (1) We are left with fewer parameters that we need to choose. (2) It is less prone to get trapped in local minima. (3) It becomes straightforward to extend the approach to include additional information, such as expert annotations. (4) It is even simpler to implement than the classical ASM fitting method.

We apply our algorithm to the SLIVER dataset and show that it achieves a higher segmentation accuracy than the standard ASM approach. We further demonstrate the flexibility and expressivity of the framework by integrating experts annotations along parts of the outline to further increase the accuracy. The code used for fitting is based on open-source software and made available to the community.

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 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

Notes

  1. 1.

    Note that, while the mathematically concepts are equivalent to the classical ASM papers [1, 2], our exposition of PDMs is based on the notation and interpretation of Point Distribution Models as Discrete Gaussian processes, as presented by Lüthi et al. [9].

  2. 2.

    The code for the model adaptation is available online at github.com/unibas-gravis/probabilistic-fitting-ASM.

References

  1. Cootes, T., Baldock, E., Graham, J.: An introduction to active shape models. In: Image Processing and Analysis, pp. 223–248 (2000)

    Google Scholar 

  2. Cootes, T.F., Taylor, C.J., Cooper, D.H., Graham, J.: Active shape models-their training and application. Comput. Vis. Image Underst. 61(1), 38–59 (1995)

    Article  Google Scholar 

  3. Esfandiarkhani, M., Foruzan, A.H.: A generalized active shape model for segmentation of liver in low-contrast CT volumes. Comput. Biol. Med. 82, 59–70 (2017)

    Article  Google Scholar 

  4. van Ginneken, B., de Bruijne, M., Loog, M., Viergever, M.A.: Interactive shape models. In: Medical Imaging 2003: Image Processing, vol. 5032, pp. 1206–1217. International Society for Optics and Photonics (2003)

    Google Scholar 

  5. Heimann, T., van Ginneken, B., et al.: Comparison and evaluation of methods for liver segmentation from CT datasets. IEEE Trans. Med. Imaging 28(8), 1251–1265 (2009). https://doi.org/10.1109/TMI.2009.2013851

    Article  Google Scholar 

  6. Jampani, V., Nowozin, S., Loper, M., Gehler, P.V.: The informed sampler: a discriminative approach to Bayesian inference in generative computer vision models. Comput. Vis. Image Underst. 136, 32–44 (2015)

    Article  Google Scholar 

  7. Kirschner, M., Becker, M., Wesarg, S.: 3D active shape model segmentation with nonlinear shape priors. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011. LNCS, vol. 6892, pp. 492–499. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23629-7_60

    Chapter  Google Scholar 

  8. Lindner, C., Thiagarajah, S., Wilkinson, J., Consortium, T., Wallis, G., Cootes, T.: Fully automatic segmentation of the proximal femur using random forest regression voting. IEEE Trans. Med. Imaging 32(8), 1462–1472 (2013)

    Article  Google Scholar 

  9. Lüthi, M., Gerig, T., Jud, C., Vetter, T.: Gaussian process morphable models. IEEE Trans. Pattern Anal. Mach. Intell. 40, 1860–1873 (2017)

    Article  Google Scholar 

  10. Norajitra, T., Maier-Hein, K.H.: 3D statistical shape models incorporating landmark-wise random regression forests for omni-directional landmark detection. IEEE Trans. Med. Imaging 36(1), 155–168 (2017)

    Article  Google Scholar 

  11. Schönborn, S., Egger, B., Morel-Forster, A., Vetter, T.: Markov chain Monte Carlo for automated face image analysis. Int. J. Comput. Vis. 123(2), 160–183 (2017). https://doi.org/10.1007/s11263-016-0967-5

    Article  MathSciNet  Google Scholar 

  12. Van Ginneken, B., Frangi, A.F., Staal, J.J., ter Haar Romeny, B.M., Viergever, M.A.: Active shape model segmentation with optimal features. IEEE Trans. Med. Imaging 21(8), 924–933 (2002)

    Article  Google Scholar 

  13. Wimmer, A., Soza, G., Hornegger, J.: A generic probabilistic active shape model for organ segmentation. In: Yang, G.-Z., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds.) MICCAI 2009. LNCS, vol. 5762, pp. 26–33. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-04271-3_4

    Chapter  Google Scholar 

  14. Zhang, Q., Bhalerao, A., Helm, E., Hutchinson, C.: Active shape model unleashed with multi-scale local appearance. In: 2015 IEEE International Conference on Image Processing (ICIP), pp. 4664–4668. IEEE (2015)

    Google Scholar 

Download references

Acknowledgment

This work was supported by the Innosuisse project 25622.1 PFLS-LS.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andreas Morel-Forster .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Morel-Forster, A., Gerig, T., Lüthi, M., Vetter, T. (2018). Probabilistic Fitting of Active Shape Models. In: Reuter, M., Wachinger, C., Lombaert, H., Paniagua, B., Lüthi, M., Egger, B. (eds) Shape in Medical Imaging. ShapeMI 2018. Lecture Notes in Computer Science(), vol 11167. Springer, Cham. https://doi.org/10.1007/978-3-030-04747-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-04747-4_13

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04746-7

  • Online ISBN: 978-3-030-04747-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics