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2D-PCA Shape Models: Application to 3D Reconstruction of the Human Teeth from a Single Image

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Medical Computer Vision. Large Data in Medical Imaging (MCV 2013)

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Abstract

Accurate modeling of human teeth is mandatory for many reasons. Some of them are (1) Providing comfort to patients during mold process, and (2) Enhancing the accuracy level for oral orthodontist and dental care personnel. Shape from Shading (SFS) proved to be of great help in this problem, considering the fact that human tooth surface is textureless. In this paper, we address the problem of 3D tooth reconstruction, and improve the current algorithms. The approached developed in this paper reconstructs the teeth from single image shading with 2D-PCA shape priors that have more sophisticated reflectance model. Oren-Nayar-Wolff model was used for modeling the surface reflectance. This formulation uses shape priors as got from a set of training CT scans of real human teeth. Our experiments show promising quantitative results, which builds the infrastructure for having an optical based approach that accounts for inexpensive and radiationless human tooth reconstruction.

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Notes

  1. 1.

    A height map is a raster image used to store values, such as surface elevation data (The depth in our case).

References

  1. Abdelrahim, A., Abdelrahman, M., Abdelmunim, H., Farag, A., Miller, M.: Novel image-based 3D reconstruction of the human jaw using shape from shading and feature descriptors. In: Proceedings of the British Machine Vision Conference, pp. 41.1–41.11 (2011)

    Google Scholar 

  2. Abdelrahim, A., El-Melegy, M., Farag, A.: Realistic 3D reconstruction of the human teeth using shape from shading with shape priors. In: IEEE Computer Vision and Pattern Recognition Workshops (CVPRW), pp. 64–69, June 2012

    Google Scholar 

  3. Ahmed, A., Farag, A.: Shape from shading under various imaging conditions. In: Proceedings of IEEE CVPR’07, Minneapolis, MN, pp. X1–X8, 18–23 June 2007

    Google Scholar 

  4. Carson, C., Belongie, S., Greenspan, H., Malik, J.: Blobworld: image segmentation using expectation-maximization and its application to image querying. IEEE Trans. Pattern Anal. Mach. Intell. 24(8), 1026–1038 (2002)

    Article  Google Scholar 

  5. Carter, C.N., Pusateri, R.J., Chen, D., Ahmed, A.H., Farag, A.A.: Shape from shading for hybrid surfaces as applied to tooth reconstruction. In: International Conference on Image Processing (ICIP10), Hong Kong, pp. 4049–4052 (2010)

    Google Scholar 

  6. Chui, H., Rangarajan, A.: A new point matching algorithm for non-rigid registration. Comput. Vis. Image Underst. 89, 114–141 (2003)

    Article  MATH  Google Scholar 

  7. Lu, X., Zhang, S., Su, H., Chen, Y.: Mutual information-based multimodal image registration using a novel joint histogram estimation. Comput. Med. Imag. Graph. 32(3), 202–209 (2008)

    Article  Google Scholar 

  8. Prados, E., Camilli, F., Faugeras, O.: A unifying and rigorous shape from shading method adapted to realistic data and applications. J. Math. Imag. Vis. 25, 307–328 (2006)

    Article  MathSciNet  Google Scholar 

  9. Prados, E., Faugeras, O.: Shape from shading: a well-posed problem? In: IEEE CVPR 2005. vol. 2, pp. 870–877, June 2005

    Google Scholar 

  10. Ragheb, H., Hancock, E.: Surface radiance correction for shape from shading. Pattern Recogn. 38, 1574–1595 (2005)

    Article  Google Scholar 

  11. Wolff, L., Nayar, S., Oren, M.: Improved diffuse reflection models for computer vision. IJCV 30(1), 55–71 (1998)

    Article  Google Scholar 

  12. Yamany, S., Farag, A., Tasman, D., Farman, A.: A 3-D reconstruction system for the human jaw using a sequence of optical images. IEEE TMI 19, 538–547 (2000)

    Google Scholar 

  13. Yang, J., Zhang, D., Frangi, A., Yu Yang, J.: Two-dimensional PCA: a new approach to appearance-based face representation and recognition. IEEE Trans. Pattern Anal. Mach. Intell. 26(1), 131–137 (2004)

    Article  Google Scholar 

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Correspondence to Aly S. Abdelrehim .

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Abdelrehim, A.S., Farag, A.A., Shalaby, A.M., El-Melegy, M.T. (2014). 2D-PCA Shape Models: Application to 3D Reconstruction of the Human Teeth from a Single Image. In: Menze, B., Langs, G., Montillo, A., Kelm, M., MĂĽller, H., Tu, Z. (eds) Medical Computer Vision. Large Data in Medical Imaging. MCV 2013. Lecture Notes in Computer Science(), vol 8331. Springer, Cham. https://doi.org/10.1007/978-3-319-05530-5_5

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  • DOI: https://doi.org/10.1007/978-3-319-05530-5_5

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