Skip to main content

Adaptive Mesh Generation of MRI Images for 3D Reconstruction of Human Trunk

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4633))

Abstract

This paper presents an adaptive mesh generation method from a series of transversal MR images. The adaptation process is based on the construction of a metric from the gray levels of an image. The metric is constrained by four parameters which are the minimum and maximum Euclidian length of an edge, the maximum stretching of the metric and the target edge length in the metric. The initial mesh is a regular triangulation of an MR image. This initial mesh is adapted according to the metric by choosing appropriate values for the previous set of parameters. The proposed approach provides an anisotropic mesh for which the elements are clustered near the boundaries. The experimental results show that the element’s edges of the obtained mesh are aligned with the boundaries of anatomical structures identified on the MR images. Furthermore, this mesh has approximately 80% less vertices than the mesh before adaptation with vertices mainly located in the regions of interest.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Papademetris, X., Sinusas, A.J., Dione, D.P., Constable, R.T., Duncan, J.S.: Estimation of 3-D left ventricular deformation from medical images using biomechanical models. IEEE Transactions on Medical Imaging 21, 786–800 (2002)

    Article  Google Scholar 

  2. Lu, Y., Jiang, T., Zang, Y.: Region growing method for the analysis of functional MRI data. NeuroImage 20, 455–465 (2003)

    Article  Google Scholar 

  3. Xu, M., Thompson, P.M., Toga, A.W.: An Adaptive Level Set Segmentation on a Triangulated Mesh. IEEE Transactions on Medical Imaging 23, 191–201 (2004)

    Article  Google Scholar 

  4. Boykov, Y.Y., Jolly, M.P.: Interactive graph cuts for optimal boundary & region segmentation of objects in N-D images, vol. 1, pp. 105–112. IEEE Comput. Soc, Vancouver, BC, Canada (2001)

    Google Scholar 

  5. Wiley, D.F., Hamann, B., Bertram, M.: On a construction of a hierarchy of best linear spline approximations using a finite element approach. IEEE Transactions on Visualization and Computer Graphics 10, 548–563 (2004)

    Article  Google Scholar 

  6. Kreylos, O., Hamann, B.: On simulated annealing and the construction of linear spline approximations for scattered data. IEEE Transactions on Visualization and Computer Graphics 7, 17–31 (2001)

    Article  Google Scholar 

  7. Brankov, J.G., Yongyi, Y., Wernick, M.N.: Tomographic image reconstruction based on a content-adaptive mesh model. IEEE Transactions on Medical Imaging 23, 202–212 (2004)

    Article  Google Scholar 

  8. Yongyi, Y., Wernick, M.N., Brankov, J.G.: A fast approach for accurate content-adaptive mesh generation. IEEE Transactions on Image Processing 12, 866–881 (2003)

    Article  MathSciNet  Google Scholar 

  9. Dompierre, J., Labbé, P.: OORT: Objet-Oriented Remeshing Toolkit. MAGNU: Laboratoire de Maillage de Géométrie Numérique, Montréal (2006)

    Google Scholar 

  10. Manole, C.-M., 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 (2005)

    Google Scholar 

  11. Desolneux, A., Moisan, L., Morel, J.-M.: Edge Detection by Helmholtz Principle. Journal of Mathematical Imaging and Vision 14, 271–284 (2001)

    Article  MATH  Google Scholar 

  12. Courchesne, O.: Génération adaptative de maillage tridimensionnel à partir d’images IRM du tronc humain. Institut de génie biomédical, Vol. Maitrise. École Polytechnique de Montréal, Université de Montréal, Montréal, p. 130 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Mohamed Kamel Aurélio Campilho

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Courchesne, O., Guibault, F., Dompierre, J., Cheriet, F. (2007). Adaptive Mesh Generation of MRI Images for 3D Reconstruction of Human Trunk. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2007. Lecture Notes in Computer Science, vol 4633. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74260-9_92

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74260-9_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74258-6

  • Online ISBN: 978-3-540-74260-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics