Skip to main content

Advertisement

Log in

Artificially enriching the training dataset of statistical shape models via constrained cage-based deformation

  • Scientific Paper
  • Published:
Australasian Physical & Engineering Sciences in Medicine Aims and scope Submit manuscript

Abstract

The construction of a powerful statistical shape model (SSM) requires a rich training dataset that includes the large variety of complex anatomical topologies. The lack of real data causes most SSMs unable to generalize possible unseen instances. Artificial enrichment of training data is one of the methods proposed to address this issue. In this paper, we introduce a novel technique called constrained cage-based deformation (CCBD), which has the ability to produce unlimited artificial data that promises to enrich variability within the training dataset. The proposed method is a two-step algorithm: in the first step, it moves a few handles together, and in the second step transfers the displacements of these handles to the base mesh vertices to generate a real new instance. The evaluation of statistical characteristics of the CCBD confirms that our proposed technique outperforms notable data-generating methods quantitatively, in terms of the generalization ability, and with respect to specificity.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Heimann T, Meinzer H-P (2009) Statistical shape models for 3D medical image segmentation: a review. Med Image Anal 13(4):543–563

    Article  PubMed  Google Scholar 

  2. Lüthi M (2010) A machine learning approach to statistical shape models with applications to medical image analysis. University_of_Basel, Basel

    Google Scholar 

  3. Gholipour A et al (2007) Brain functional localization: a survey of image registration techniques. IEEE Trans Med Imaging 26(4):427–451

    Article  PubMed  Google Scholar 

  4. Zitova B, Flusser J (2003) Image registration methods: a survey. Image Vis Comput 21(11):977–1000

    Article  Google Scholar 

  5. Gain J, Bechmann D (2008) A survey of spatial deformation from a user-centered perspective. ACM Trans Graph (TOG) 27(4):107

    Article  Google Scholar 

  6. Castro-Mateos I et al (2015) Statistical interspace models (SIMs): application to robust 3D spine segmentation. IEEE Trans Med Imaging 34(8):1663–1675

    Article  PubMed  Google Scholar 

  7. Yokota F et al (2009) Automated segmentation of the femur and pelvis from 3D CT data of diseased hip using hierarchical statistical shape model of joint structure. In international conference on medical image computing and computer-assisted intervention. Springer

  8. Lamecker H, Lange T, Seebass M (2004) Segmentation of the liver using a 3D statistical shape model. Konrad-Zuse-Zentrum fur Informationstechnik, Berlin

    Google Scholar 

  9. Zhang X et al (2010) Automatic liver segmentation using a statistical shape model with optimal surface detection. IEEE Trans Biomed Eng 57(10):2622–2626

    Article  PubMed  Google Scholar 

  10. Martin S, Troccaz J, Daanen V (2010) Automated segmentation of the prostate in 3D MR images using a probabilistic atlas and a spatially constrained deformable model. Med Phys 37(4):1579–1590

    Article  PubMed  Google Scholar 

  11. Chandra SS et al (2014) Focused shape models for hip joint segmentation in 3D magnetic resonance images. Med Image Anal 18(3):567–578

    Article  PubMed  Google Scholar 

  12. Albà X et al (2014) Reusability of statistical shape models for the segmentation of severely abnormal hearts. In: international workshop on statistical atlases and computational models of the heart. Springer, New York

  13. Lötjönen J et al (2005) Artificial enlargement of a training set for statistical shape models: application to cardiac images. In international workshop on functional imaging and modeling of the heart. Springer

  14. Van Assen HC et al (2005) SPASM: segmentation of sparse and arbitrarily oriented cardiac MRI data using a 3D-ASM. In international workshop on functional imaging and modeling of the heart. Springer

  15. Mitchell SC et al (2002) 3-D active appearance models: segmentation of cardiac MR and ultrasound images. IEEE Trans Med Imaging 21(9):1167–1178

    Article  PubMed  Google Scholar 

  16. Davatzikos C, Tao X, Shen D (2003) Hierarchical active shape models, using the wavelet transform. IEEE Trans Med Imaging 22(3):414–423

    Article  PubMed  Google Scholar 

  17. Chung F et al (2011) Comparison of statistical models performance in case of segmentation using a small amount of training datasets. Visual Comput 27(2):141–151

    Article  Google Scholar 

  18. Ordas S, et al (2004) Grid-enabled automatic construction of a two-chamber cardiac PDM from a large database of dynamic 3D shapes. In IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2004. IEEE

  19. de Bruijne M et al (2003). Adapting active shape models for 3D segmentation of tubular structures in medical images. In biennial international conference on information processing in medical imaging. Springer

  20. Hu N et al (2014) A method for generating large datasets of organ geometries for radiotherapy treatment planning studies. Radiol Oncol 48(4):408–415

    Article  PubMed  PubMed Central  Google Scholar 

  21. Pereañez M (2017) Enlargement, subdivision and individualization of statistical shape models: application to 3D medical image segmentation

  22. Pereañez M et al (2014) A framework for the merging of pre-existing and correspondenceless 3D statistical shape models. Med Image Anal 18(7):1044–1058

    Article  PubMed  Google Scholar 

  23. Ehrhardt J, Wilms M, Handels H (2016) Patch-based low-rank matrix completion for learning of shape and motion models from few training samples. In European conference on computer vision. Springer

  24. Cootes TF, Taylor CJ (1995) Combining point distribution models with shape models based on finite element analysis. Image Vis Comput 13(5):403–409

    Article  Google Scholar 

  25. Koikkalainen J et al (2008) Methods of artificial enlargement of the training set for statistical shape models. IEEE Trans Med Imaging 27(11):1643–1654

    Article  PubMed  Google Scholar 

  26. Jacobson A et al (2011) Bounded biharmonic weights for real-time deformation. ACM Trans Graph 30(4):1–8

    Article  Google Scholar 

  27. Ju T, Schaefer S, Warren J (2005) Mean value coordinates for closed triangular meshes. In ACM transactions on graphics (TOG). ACM

  28. Lipman Y et al (2007) GPU-assisted positive mean value coordinates for mesh deformations. In symposium on geometry processing

  29. Joshi P et al (2007) Harmonic coordinates for character articulation. In: ACM transactions on graphics (TOG). ACM

  30. Wang Y, Staib LH (2000) Physical model-based non-rigid registration incorporating statistical shape information. Med Image Anal 4(1):7–20

    Article  CAS  PubMed  Google Scholar 

  31. Cootes TF, Taylor CJ (1996) data driven refinement of active shape model search. In: BMVC

  32. Zhang S, Zhan Y, Metaxas DN (2012) Deformable segmentation via sparse representation and dictionary learning. Med Image Anal 16(7):1385–1396

    Article  PubMed  Google Scholar 

  33. Fang Q, Boas DA (2009) Tetrahedral mesh generation from volumetric binary and grayscale images. In: IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2009. ISBI’09. IEEE

  34. Hussain M, Okada Y, Niijima K (2004) Efficient and feature-preserving triangular mesh decimation. In WSCG

  35. Meyer M et al (2002) Generalized barycentric coordinates on irregular polygons. J Graph Tools 7(1):13–22

    Article  Google Scholar 

  36. Jacobson A et al (2011) Bounded biharmonic weights for real-time deformation. ACM Trans Graph 30(4):78:1–78:8

    Article  Google Scholar 

  37. Floater MS (2003) Mean value coordinates. Comput Aided Geom Des 20(1):19–27

    Article  Google Scholar 

  38. Lipman Y, Levin D, Cohen-Or D (2008) Green coordinates. ACM Trans Graphics (TOG) 27(3):78

    Article  Google Scholar 

  39. Lipman Y et al (2004) Differential coordinates for interactive mesh editing. In: Proceedings shape modeling applications. IEEE

  40. Meyer M et al (2003) Discrete differential-geometry operators for triangulated manifolds. Visualization and mathematics. Springer, New York, pp 35–57

    Chapter  Google Scholar 

  41. Feldmar J et al (1997) Extension of the ICP algorithm to nonrigid intensity-based registration of 3D volumes. Comput Vis Image Underst 66(2):193–206

    Article  Google Scholar 

  42. Jolliffe IT (2002) Principal component analysis and factor analysis. Princ Compon Anal 69:150–166

    Google Scholar 

  43. Davies RH (2002) Learning shape: optimal models for analysing natural variability. University of Manchester, Manchester

    Google Scholar 

  44. Pham DL, Xu C, Prince JL (2000) Current methods in medical image segmentation. Annu Rev Biomed Eng 2(1):315–337

    Article  CAS  PubMed  Google Scholar 

  45. Lenkiewicz P et al (2010) Techniques for medical image segmentation: review of the most popular approaches. Biomedical diagnostics and clinical technologies: applying high-performance cluster and grid computing. University of Beira Interior, Covilha, pp 1–33

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the support and generosity of Fanavaran Jarahyar Sharif Co. for providing Femur dataset that without which the present study could not have been completed. We are also immensely grateful to Seyed Mohammad Reza Noori for comments that significantly improved the manuscript.

Funding

This work was supported by the medical school, Tehran University of Medical Science in Grant Number 28345 and also by the Iran National Science Foundation in Grant Number 92011635.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alireza Ahmadian.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alimohamadi Gilakjan, S., Hasani Bidgoli, J., Aghaizadeh Zorofi, R. et al. Artificially enriching the training dataset of statistical shape models via constrained cage-based deformation. Australas Phys Eng Sci Med 42, 573–584 (2019). https://doi.org/10.1007/s13246-019-00759-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13246-019-00759-0

Keywords

Navigation