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3D quantification of mandibular asymmetry using the SPHARM-PDM tool box

  • Abeer AlHadidi
  • Lucia H. Cevidanes
  • Beatriz Paniagua
  • Richard Cook
  • Frederic Festy
  • Donald Tyndall
Original Article

Abstract

Purpose

Pretreatment diagnosis of mandibular asymmetry in orthognathic surgery patients can be improved by quantitative shape modeling and analysis. The UNC SPHARM-PDM (University of North Carolina Spherical Harmonics—Point Distribution Model) toolbox was applied to a cohort of patients and the results were evaluated.

Methods

Three-dimensional (3D) virtual surface models are constructed from CBCT scans of each patient in the cohort by segmentation. Mirroring on a sagittal arbitrary plane is used to flip the left and right sides of each image. An automatic voxel-based registration on the cranial base is used to align the volume and its mirror for comparison. SPHARM-PDM is used to compute correspondent models for each hemimandible and the mirror of the contralateral side. Procrustes analysis was used to evaluate discrepancies between each pair of models to assess asymmetry. Mandibular asymmetry was also located and quantified by computing corresponding surface distances between each hemimandible (left and right sides) and the mirror of the contralateral side.

Results

There were no statistically significant differences in surrogates for mandibular asymmetry assessment based on right or the left side mirroring. Those surrogates are the rotational and translational differences between each hemimandible and the mirror of the contralateral side in 3 planes of space (the absolute values of Procrustes registration output in 6 degrees of freedom). Absolute and signed distance maps between each hemimandible and the mirror of the contralateral side located and quantified areas of asymmetry diagnosis for each patient. Even though mandibular condyle asymmetry was observed in 8% of the cases and mandibular asymmetry along areas of the ramus and mandibular corpus was noted in 17.8% of the cases, the remaining 74.2% showed generalized morphological and positional asymmetry at the condyle, the ramus and mandibular corpus.

Conclusion

Three-dimensional diagnosis of mandibular asymmetry revealed the complex involvement of morphological components of the mandible and the heterogeneous nature of this clinical condition. SPHARM-PDM has a promising role in the individual diagnosis and quantification of mandibular asymmetry.

Keywords

Mandibular asymmetry Shape correspondence SPHARM-PDM Statistical shape analysis 

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References

  1. 1.
    Hassfeld S, Muhling J (2001) Computer assisted oral and maxillofacial surgery—a review and an assessment of technology. Int J Oral Maxillofac Surg 30(1): 2–13PubMedCrossRefGoogle Scholar
  2. 2.
    Troulis MJ, Everett P, Seldin EB, Kikinis R, Kaban LB (2002) Development of a three-dimensional treatment planning system based on computed tomographic data. Int J Oral Maxillofac Surg 31(4): 349–357PubMedCrossRefGoogle Scholar
  3. 3.
    Gateno J, Xia JJ, Teichgraeber JF, Christensen AM, Lemoine JJ, Liebschner MA, Gliddon MJ, Briggs ME (2007) Clinical feasibility of computer-aided surgical simulation (CASS) in the treatment of complex cranio-maxillofacial deformities. J Oral Maxillofac Surg 65(4): 728–734PubMedCrossRefGoogle Scholar
  4. 4.
    Styner M, Oguz I, Xu1 S, Brechbuhler C, Pantazis D, Levitt J, Shenton M, Gerig G (2006) Framework for the statistical shape analysis of brain structures using spharm-pdm. Insight J. http://www.insightjournal.org/
  5. 5.
    Brechbühler C, Gerig G, Kübler O (1995) Parametrization of closed surfaces for 3-D shape description. Comput Vis Image Underst 61: 154CrossRefGoogle Scholar
  6. 6.
    Gerig G, Styner M, Jones D, Weinberger D, Lieberman JA (2001) Shape analysis of brain ventricles using spharm. Math Methods Biomed Image Anal MMBIA (2001): 171–178Google Scholar
  7. 7.
    Styner M, Gerig G, Lieberman J, Jones D, Weinberger D (2003) Statistical shape analysis of neuroanatomical structures based on medial models. Med Image Anal 7: 207PubMedCrossRefGoogle Scholar
  8. 8.
    Cevidanes LH, Alhadidi A, Paniagua B, Styner M, Ludlow J, Mol A, Turvey T, Proffit WR, Rossouw PE (2011) Three-dimensional quantification of mandibular asymmetry through cone-beam computerized tomography. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 111(6): 757–770PubMedCrossRefGoogle Scholar
  9. 9.
    Yushkevich PA, Piven J, Hazlett HC, Smith RG, Ho S, Gee JC, Gerig G (2006) User-guided 3D active contour segmentation of anatomical structures: significantly improved efficiency and reliability. Neuroimage 31(3): 1116–1128PubMedCrossRefGoogle Scholar
  10. 10.
    Styner M, Gerig G, Lieberman J, Jones D, Weinberger D (2003) Statistical shape analysis of neuroanatomical structures based on medial models. Med Image Anal 7: 207PubMedCrossRefGoogle Scholar
  11. 11.
    Besl PJ, McKay ND (1992) A method for registration of 3-D shapes. IEEE Trans Pattern Anal Mach Intell 14: 239–256CrossRefGoogle Scholar
  12. 12.
    De Momi E, Chapuis J, Pappas I, Ferrigno G, Hallermann W, Schramm A, Caversaccio M. Automatic extraction of the mid-facial plane for cranio-maxillofacial surgery planning. Int J Oral Maxillofac Surg JID-8605826 0829Google Scholar
  13. 13.
    Meier D, Fisher E (2002) Parameter space warping: shape-based correspondence between morphologically different objects. IEEE Trans Med Imaging 21(1): 31–47PubMedCrossRefGoogle Scholar
  14. 14.
    Oguz I (2009) Groupwise shape correspondence with local features. PhD dissertation, University of North Carolina. (http://webcat.lib.unc.edu/record=b6135448~S1)

Copyright information

© CARS 2011

Authors and Affiliations

  • Abeer AlHadidi
    • 1
  • Lucia H. Cevidanes
    • 2
  • Beatriz Paniagua
    • 3
  • Richard Cook
    • 4
  • Frederic Festy
    • 4
  • Donald Tyndall
    • 3
  1. 1.University of JordanAmmanJordan
  2. 2.University of MichiganAnn ArborUSA
  3. 3.University of North Carolina at Chapel HillChapel HillUSA
  4. 4.King’s College London Dental InstituteLondonUK

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