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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
A height map is a raster image used to store values, such as surface elevation data (The depth in our case).
References
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)
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
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
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)
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)
Chui, H., Rangarajan, A.: A new point matching algorithm for non-rigid registration. Comput. Vis. Image Underst. 89, 114–141 (2003)
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)
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)
Prados, E., Faugeras, O.: Shape from shading: a well-posed problem? In: IEEE CVPR 2005. vol. 2, pp. 870–877, June 2005
Ragheb, H., Hancock, E.: Surface radiance correction for shape from shading. Pattern Recogn. 38, 1574–1595 (2005)
Wolff, L., Nayar, S., Oren, M.: Improved diffuse reflection models for computer vision. IJCV 30(1), 55–71 (1998)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-05530-5_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05529-9
Online ISBN: 978-3-319-05530-5
eBook Packages: Computer ScienceComputer Science (R0)