Skip to main content
Top

2011 | OriginalPaper | Chapter

An Evaluation of Tetrahedral Mesh Generation for Nonrigid Registration of Brain MRI

Authors : Panagiotis A. Foteinos, Yixun Liu, Andrey N. Chernikov, Nikos P. Chrisochoides

Published in: Computational Biomechanics for Medicine

Publisher: Springer New York

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this chapter, we assess the impact of mesh generation on nonrigid registration of brain MR images. The solution accuracy and the speed of finite element solvers depend on how well the underlying mesh approximates the surface of the biological object (fidelity), and how well the elements of this mesh are shaped (quality). Fidelity and quality, however, are two contradicting requirements, as increased fidelity usually implies poor quality and vice versa. In this chapter, we evaluate three public mesh generators and examine how this quality-fidelity trade-off affects the accuracy and the speed of nonrigid registration solvers for brain images.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
2.
go back to reference Archip, N., Clatz, O., Fedorov, A., Kot, A., Whalen, S., Kacher, D., Chrisochoides, N., Jolesz, F., Golby, A., Black, P., Warfield, S.K.: Non-rigid alignment of preoperative MRI, fMRI, DT-MRI, with intra-operative MRI for enhanced visualization and navigation in image-guided neurosurgery. Neuroimage 35(2), 609–624 (2007)CrossRef Archip, N., Clatz, O., Fedorov, A., Kot, A., Whalen, S., Kacher, D., Chrisochoides, N., Jolesz, F., Golby, A., Black, P., Warfield, S.K.: Non-rigid alignment of preoperative MRI, fMRI, DT-MRI, with intra-operative MRI for enhanced visualization and navigation in image-guided neurosurgery. Neuroimage 35(2), 609–624 (2007)CrossRef
3.
go back to reference Bajaj, C.L., Oden, J.T., Diller, K.R., Browne, J.C., Hazle, J., Babuska, I., Bass, J., Bidaut, L., Demkowicz, L.F., Elliott, A., Feng, Y., Fuentes, D., Kwon, B., Prudhomme, S., Stafford, R.J., Zhang, Y.: Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer. In: International Conference on Computational Science, pp. 972–979 (2007) Bajaj, C.L., Oden, J.T., Diller, K.R., Browne, J.C., Hazle, J., Babuska, I., Bass, J., Bidaut, L., Demkowicz, L.F., Elliott, A., Feng, Y., Fuentes, D., Kwon, B., Prudhomme, S., Stafford, R.J., Zhang, Y.: Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer. In: International Conference on Computational Science, pp. 972–979 (2007)
4.
go back to reference Boissonnat, J.D., Oudot, S.: Provably good sampling and meshing of surfaces. Graphical Models 67(5), 405–451 (2005)MATHCrossRef Boissonnat, J.D., Oudot, S.: Provably good sampling and meshing of surfaces. Graphical Models 67(5), 405–451 (2005)MATHCrossRef
5.
go back to reference Cheng, S.W., Dey, T.K., Edelsbrunner, H., Facello, M.A., Teng, S.H.: Sliver exudation. Journal of the ACM 47(5), 883–904 (2000)MathSciNetCrossRef Cheng, S.W., Dey, T.K., Edelsbrunner, H., Facello, M.A., Teng, S.H.: Sliver exudation. Journal of the ACM 47(5), 883–904 (2000)MathSciNetCrossRef
6.
go back to reference Clatz, O., Delingette, H., Talos, I.F., Golby, A.J., Kikinis, R., Jolesz, F., Ayache, N., Warfield, S.: Robust non-rigid registration to capture brain shift from intra-operative MRI. IEEE Transactions on Medical Imaging 24(11), 1417–1427 (2005)CrossRef Clatz, O., Delingette, H., Talos, I.F., Golby, A.J., Kikinis, R., Jolesz, F., Ayache, N., Warfield, S.: Robust non-rigid registration to capture brain shift from intra-operative MRI. IEEE Transactions on Medical Imaging 24(11), 1417–1427 (2005)CrossRef
7.
go back to reference Delingette, H., Ayache, N.: Soft tissue modeling for surgery simulation. Handbook of Numerical Analysis, Computational Models for the Human Body XII, 453–550 (2004) Delingette, H., Ayache, N.: Soft tissue modeling for surgery simulation. Handbook of Numerical Analysis, Computational Models for the Human Body XII, 453–550 (2004)
9.
go back to reference Foteinos, P., Chernikov, A., Chrisochoides, N.: Guaranteed Quality Tetrahedral Delaunay Meshing for Medical Images. In: Proceedings of the 7{ th} International Symposium on Voronoi Diagrams in Science and Engineering, pp. 215–223. Quebec City, Canada (2010) Foteinos, P., Chernikov, A., Chrisochoides, N.: Guaranteed Quality Tetrahedral Delaunay Meshing for Medical Images. In: Proceedings of the 7{ th} International Symposium on Voronoi Diagrams in Science and Engineering, pp. 215–223. Quebec City, Canada (2010)
10.
go back to reference Labelle, F., Shewchuk, J.R.: Isosurface stuffing: fast tetrahedral meshes with good dihedral angles. ACM Transactions on Graphics 26(3), 57 (2007)CrossRef Labelle, F., Shewchuk, J.R.: Isosurface stuffing: fast tetrahedral meshes with good dihedral angles. ACM Transactions on Graphics 26(3), 57 (2007)CrossRef
11.
go back to reference Liu, Y., Foteinos, P., Chernikov, A., Chrisochoides, N.: Multi-tissue mesh generation for brain images. In: Proceedings of the 19{ th} International Meshing Roundtable. Chattanooga, Tennessee, USA (2010). To appear Liu, Y., Foteinos, P., Chernikov, A., Chrisochoides, N.: Multi-tissue mesh generation for brain images. In: Proceedings of the 19{ th} International Meshing Roundtable. Chattanooga, Tennessee, USA (2010). To appear
12.
go back to reference Oudot, S., Rineau, L., Yvinec, M.: Meshing Volumes Bounded by Smooth Surfaces. In: International Meshing Roundtable, pp. 203–219. Springer-Verlag, San Diego, California, USA (2005) Oudot, S., Rineau, L., Yvinec, M.: Meshing Volumes Bounded by Smooth Surfaces. In: International Meshing Roundtable, pp. 203–219. Springer-Verlag, San Diego, California, USA (2005)
13.
go back to reference Rineau, L., Yvinec, M.: Meshing 3D Domains Bounded by Piecewise Smooth Surfaces. In: International Meshing Roundtable, pp. 443–460 (2007) Rineau, L., Yvinec, M.: Meshing 3D Domains Bounded by Piecewise Smooth Surfaces. In: International Meshing Roundtable, pp. 443–460 (2007)
14.
go back to reference Shewchuk, J.R.: What is a Good Linear Element? - Interpolation, Conditioning, and Quality Measures. In: Proceedings of the 11{ th} International Meshing Roundtable, pp. 115–126. Sandia National Laboratories (2002) Shewchuk, J.R.: What is a Good Linear Element? - Interpolation, Conditioning, and Quality Measures. In: Proceedings of the 11{ th} International Meshing Roundtable, pp. 115–126. Sandia National Laboratories (2002)
16.
go back to reference Jane Tournois, Rahul Srinivasan, Pierre Alliez: Perturbing Slivers in 3D Delaunay Meshes. In: Proceedings of the 18{ th} International Meshing Roundtable, pp. 157–173. Sandia Labs, Salt Lake City, Utah, USA (2009) Jane Tournois, Rahul Srinivasan, Pierre Alliez: Perturbing Slivers in 3D Delaunay Meshes. In: Proceedings of the 18{ th} International Meshing Roundtable, pp. 157–173. Sandia Labs, Salt Lake City, Utah, USA (2009)
Metadata
Title
An Evaluation of Tetrahedral Mesh Generation for Nonrigid Registration of Brain MRI
Authors
Panagiotis A. Foteinos
Yixun Liu
Andrey N. Chernikov
Nikos P. Chrisochoides
Copyright Year
2011
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4419-9619-0_14