Abstract
The objective of this paper is to automatically detect the back valley on a polygonal mesh of the human trunk surface. A 3D camera system based on the projection of a structured light is used for the acquisition of the whole trunk of scoliotic patients. A quadratic fitting method is used to calculate the principal curvatures for each vertex. It was determined that 3 levels of neighbors were sufficient to detect the back valley. The proposed method was evaluated on a set of 61 surface trunks of scoliotic patients. The results were validated by two orthopedic surgeons and were estimated to 84% of success in the automatic detection of the back valley. The proposed method is reproducible and could be useful for clinical assessment of scoliosis severity and a non-invasive progression follow-up.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bergeron, C., Cheriet, F., Ronsky, J., Zernicke, R., Labelle, H.: Prediction of anterior scoliotic spinal curve from trunk surface using support vector regression. Engineering Applications of Artificial Intelligence 18(8), 973–983 (2005)
Jaremko, J., Delorme, S., Dansereau, J., et al.: Use of neural networks to correlate spine and rib deformity in scoliosis. Computer Methods in Biomechanics and Biomedical Engineering 3(3), 203–213 (2000)
Pazos, V., Cheriet, F., Dansereau, J., et al.: Reliability of trunk shape measurements based on 3-d surface reconstructions. European Spine Journal (2007)
Thulbourne, T., Gillespie, R.: The rib hump in idiopathic scoliosis: measurement, analysis and response to treatment. J. Bone Joint Surg. 58, 64–71 (1976)
Cheriet, F., Laporte, C., Kadoury, S., Labelle, H., Dansereau, J.: A novel system for the 3-d reconstruction of the human spine and rib cage from biplanar x-ray images. IEEE Transactions on Biomedical Engineering 54(7), 1356–1358 (2007)
Frobin, W., Hierholzer, E.: Analysis of human back shape using surface curvatures. Journal of Biomechanics 15(5), 379–390 (1982)
Drerup, B., Hierholzer, E.: Automatic localization of anatomical landmarks on the back surface and construction of a body-fixed coordinate system. Journal of Biomechanics 20(10), 961–970 (1987)
Koenderink, J.J., van Doorn, A.J.: Surface shape and curvature scales. Image and Vision Computing 10(8), 557–565 (1992)
Liu, X., Kim, W., Drerup, B.: 3d characterization and localization of anatomical landmarks of the foot by fastscan. In: Real-Time Imaging, Imaging in Bioinformatics: Part III, pp. 217–228. Academic Press, London, NW1 7DX, United Kingdom (2004)
Kim, C.H., Kim, S.K.: Finding ridges and valleys in a discrete surface using a modified mls approximation. Computer Aided Design 38(2), 173–180 (2006)
Gatzke, T., Grimm, C.: Estimating curvature on triangular meshes. Int. J. Shap. Model. 12(1), 1–29 (2006)
Goldfeather, J., Interrante, V.: A novel cubic-order algorithm for approximating principal direction vectors. ACM Trans. Graph. 23(1), 45–63 (2004)
Heckbert, P., Garland, M.: Optimal triangulation and quadric-based surface simplification. Comp. Geom. Th. Apps 14, 49–65 (1999)
Meyer, M., Desbrun, M., Schröder, P., Barr, A.H.: Discrete differential-geometry operators for triangulated 2-manifolds. In: Hege, H.-C., Polthier, K. (eds.) Visualization and mathematics III, pp. 35–57. Springer, Heidelberg (2003)
Alboul, L., Brink, W., Rodrigues, M.: Mesh optimisation based on Willmore energy. In: 22nd European Workshop on Computational Geometry, March 2006, pp. 133–136 (2006)
Manole, C., Vallet, M.-G., Dompierre, J., Guibault, F.: Benchmarking second order derivatives recovery of a piecewise linear scalar field. In: Proceedings of the 17th IMACS World Congress Scientific Computation, Applied Mathematics and Simulation, Paris (2005)
Gatzke, T., Grimm, C.: Feature detection using curvature maps and the min-cut/max-flow algorithm. In: Àlvarez, C., Serna, M.J. (eds.) WEA 2006. LNCS, vol. 4007, pp. 578–584. Springer, Heidelberg (2006)
Chen, L., Georganas, N.D.: An efficient and robust algorithm for 3D mesh segmentation. Multimedia Tools Application 29, 109–125 (2006)
Thériault, J., Guibault, F., Vallet, M.-G., Cheriet, F.: On surface curvature approximations from a polygon mesh. In: 5th Curves and Surfaces Conference, Avignon, France (2007)
Meek, D.S., Walton, D.J.: On surface normal and Gaussian curvature approximations given data sampled from a smooth surface. Comp.-Aided Geom. Design 17(6), 521–543 (2000)
Taubin, G.: Estimating the tensor of curvature of a surface from a polyhedral approximation. In: Proceedings of the IEEE International Conference on Computer Vision, Cambridge, MA, USA, pp. 902–907 (1995)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Thériault, J., Cheriet, F., Guibault, F. (2008). Automatic Detection of the Back Valley on Scoliotic Trunk Using Polygonal Surface Curvature. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2008. Lecture Notes in Computer Science, vol 5112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69812-8_77
Download citation
DOI: https://doi.org/10.1007/978-3-540-69812-8_77
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69811-1
Online ISBN: 978-3-540-69812-8
eBook Packages: Computer ScienceComputer Science (R0)