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Capturing large shape variations of liver using population-based statistical shape models

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International Journal of Computer Assisted Radiology and Surgery Aims and scope Submit manuscript

Abstract

Purpose

Statistical shape models (SSMs) represent morphological variations of a specific object. When there are large shape variations, the shape parameters constitute a large space that may include incorrect parameters. The human liver is a non-rigid organ subject to large deformations due to external forces or body position changes during scanning procedures. We developed and tested a population-based model to represent the shape of liver.

Methods

Upper abdominal CT-scan input images are represented by a conventional shape model. The shape parameters of individual livers extracted from the CT scans are employed to classify them into different populations. Corresponding to each population, an SSM model is built. The liver surface parameter space is divided into several subspaces which are more compact than the original space. The proposed model was tested using 29 CT-scan liver image data sets. The method was evaluated by model compactness, reconstruction error, generality and specificity measures.

Results

The proposed model is implemented and tested using CT scans that included liver shapes with large shape variations. The method was compared with conventional and recently developed shape modeling methods. The accuracy of the proposed model was nearly twice that achieved with the conventional model. The proposed population-based model was more general compared with the conventional model. The mean reconstruction error of the proposed model was 0.029 mm while that of the conventional model was 0.052 mm.

Conclusion

A population-based model to represent the shape of liver was developed and tested with favorable results. Using this approach, the liver shapes from CT scans were modeled by a more compact, more general, and more accurate model.

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References

  1. Cootes TF, Taylor CJ, Cooper DH, Graham J (1995) Active shape models-their training and application. Comput Vis Image Underst 61(1):38–59

    Article  Google Scholar 

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

    Google Scholar 

  3. Pepe, A, Zhao L, Koikkalainen J, Hietala J, Ruotsalainen U, Tohka J (2013) Automatic statistical shape analysis of cerebral asymmetry in 3D T1-weighted magnetic resonance images at vertex-level: application to neuroleptic-naïve schizophrenia. Magn Reson Imaging 31(5):676–687. doi:10.1016/j.mri.2012.10.021

  4. van de Giessen M, Foumani M, Streekstra GJ, Strackee SD, Maas M, van Vliet LJ, Grimbergen KA, Vos FM (2010) Statistical descriptions of scaphoid and lunate bone shapes. J Biomech 43(8):1463–1469

    Article  PubMed  Google Scholar 

  5. Buchaillard SI, Ong SH, Payan Y, Foong K (2007) 3D statistical models for tooth surface reconstruction. Comput Biol Med 37(10):1461–1471

    Article  PubMed  Google Scholar 

  6. Chen YW, Luo J, Dong C, Han X, Tateyama T, Furukawa A, Kanasaki S (2013) Computer-aided diagnosis and quantification of cirrhotic livers based on morphological analysis and machine learning. Comput Math Methods Med 2013:264809. doi:10.1155/2013/264809

  7. 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 

  8. Lamecker H, Lange T, Seebass M (2002) A statistical shape model for the liver. In: Medical image computing and computer-assisted intervention—MICCAI 2002. Springer, Berlin, pp 421–427

  9. Okada T, Linguraru MG, Yoshida Y, Hori M, Summers RM, Chen Y.-W, Tomiyama N, Sato Y (2012) Abdominal multi-organ segmentation of CT images based on hierarchical spatial modeling of organ interrelations. In: Abdominal imaging, computational and clinical applications. Springer, Berlin pp 173–180

  10. Feng J, Ip HHS (2009) A multi-resolution statistical deformable model (MISTO) for soft-tissue organ reconstruction. Pattern Recognit 42(7):1543–1558

    Article  Google Scholar 

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

    Article  Google Scholar 

  12. Zhang W, Yan P, Li X (2011) Estimating patient-specific shape prior for medical image segmentation. In: Biomedical imaging: from nano to macro, 2011 IEEE international symposium on. IEEE 2011, pp 1451–1454

  13. Zhu Y, Papademetris X, Sinusas AJ et al (2010) Segmentation of the left ventricle from cardiac MR images using a subject-specific dynamical model. Med Imaging IEEE Trans 29(3):669–687

    Article  Google Scholar 

  14. Zhang S, Zhan Y, Dewan M et al (2012) Towards robust and effective shape modeling: sparse shape composition. Med Image Anal 16(1):265–277

    Article  PubMed  Google Scholar 

  15. Wang G, Zhang S, Li F et al (2013) A new segmentation framework based on sparse shape composition in liver surgery planning system. Med Phys 40:051913

    Article  PubMed  PubMed Central  Google Scholar 

  16. Goodall C (1991) Procrustes methods in the statistical analysis of shape. J R Stat Soc Ser B (Methodol), 285–339

  17. Davies RH, Twining CJ, Cootes TF, Waterton JC, Taylor CJ (2002) A minimum description length approach to statistical shape modeling. Med Imaging IEEE Trans 21(5):525–537

    Article  Google Scholar 

  18. Styner MA, Rajamani KT, Nolte L.-P, Zsemlye G, Székely G, Taylor CJ, Davies RH (2003) Evaluation of 3D correspondence methods for model building. In: Information processing in medical imaging. Springer, Berlin, pp 63–75

  19. Lorensen WE, Cline HE (1987) Marching cubes: a high resolution 3D surface construction algorithm. In: ACM Siggraph computer graphics, vol 21, no 4. ACM, pp 163–169

  20. Heimann T, Oguz I, Wolf I, Styner M, Meinzer H.-P (2006) Implementing the automatic generation of 3d statistical shape models with ITK. In: Open science workshop at MICCAI, Copenhagen

  21. Insight toolkit. http://www.itk.org. Accessed on 6 July 2011 (2013)

  22. Visualization toolkit. http://www.vtk.org, Accessed on 6 July 2011 (2013)

  23. 3D Slicer Software. http://www.slicer.org, Accessed on 6 July 2011 (2013)

  24. Heitz G, Rohlfing T, Maurer Jr CR (2005) Statistical shape model generation using nonrigid deformation of a template mesh. In: Medical imaging. International society for optics and photonics, pp 1411–1421

  25. Su Z, Lambrou T, Todd-Pokropek A (2006) A minimum entropy approach for automatic statistical model building. In: (Proceedings) IEEE 5th international special topic conference on information technology in biomedicine

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Conflict of interest

Amir H. Foruzan, Yen-Wei Chen, Masatoshi Hori, Yoshinobu Sato and Noriyuki Tomiyama declare that they have no conflict of interest.

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Correspondence to Amir H. Foruzan.

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Foruzan, A.H., Chen, YW., Hori, M. et al. Capturing large shape variations of liver using population-based statistical shape models. Int J CARS 9, 967–977 (2014). https://doi.org/10.1007/s11548-014-1000-5

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  • DOI: https://doi.org/10.1007/s11548-014-1000-5

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