Skip to main content

2015 | OriginalPaper | Buchkapitel

Non-rigid registration using free-form deformations

verfasst von : D. Rueckert, P. Aljabar

Erschienen in: Handbook of Biomedical Imaging

Verlag: Springer US

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Free-form deformations are a powerful geometric modeling technique which can be used to represent complex 3D deformations. In recent years, free-form deformations have gained significant popularity in algorithms for the non-rigid registration of medical images. In this chapter we show how free-form deformations can be used in non-rigid registration to model complex local deformations of 3D organs. In particular, we discuss diffeomorphic and non-diffeomorphic representations of 3D deformation fields using free-form deformations as well as different penalty functions that can be used to constrain the deformation fields during the registration. We also show how free-form deformations can be used in combination with mutual information-based similarity metrics for the registration of mono-modal and multi-modal medical images. Finally, we discuss applications of registration techniques based on free-form deformations for the analysis of images of the breast, heart and brain as well as for segmentation and shape modelling.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat P. Aljabar, K. Bhatia, M. Murgasova, J. Hajnal, J. Boardman, L. Srinivasan, M. Rutherford, L. Dyet, A. Edwards, and D. Rueckert. Assessment of brain growth in early childhood using deformation based morphometry. NeuroImage, 39(1):348–358, 2008.CrossRef P. Aljabar, K. Bhatia, M. Murgasova, J. Hajnal, J. Boardman, L. Srinivasan, M. Rutherford, L. Dyet, A. Edwards, and D. Rueckert. Assessment of brain growth in early childhood using deformation based morphometry. NeuroImage, 39(1):348–358, 2008.CrossRef
2.
Zurück zum Zitat L. Axel and L. Dougherty. Heart wall motion: Improved method of spatial modulation of magnetization for MR imaging. Radiology, 172(2):349–350, 1989.CrossRef L. Axel and L. Dougherty. Heart wall motion: Improved method of spatial modulation of magnetization for MR imaging. Radiology, 172(2):349–350, 1989.CrossRef
3.
Zurück zum Zitat R. Bajcsy and S. Kovačič. Multiresolution elastic matching. Computer Vision, Graphics and Image Processing, 46:1–21, 1989. R. Bajcsy and S. Kovačič. Multiresolution elastic matching. Computer Vision, Graphics and Image Processing, 46:1–21, 1989.
4.
Zurück zum Zitat M. F. Beg, M. I. Miller, A. Trouvé, and L. Younes. Computing large deformation metric mappings via geodesic flows of diffeomorphisms. International Journal of Computer Vision, 61(2):139–157, 2005.CrossRef M. F. Beg, M. I. Miller, A. Trouvé, and L. Younes. Computing large deformation metric mappings via geodesic flows of diffeomorphisms. International Journal of Computer Vision, 61(2):139–157, 2005.CrossRef
5.
Zurück zum Zitat J. P. Boardman, K. Bhatia, S. Counsell, J. Allsop, O. Kapellou, M. A. Rutherford, A. D. Edwards, J. V. Hajnal, and D. Rueckert. An evaluation of deformation-based morphometry in the developing human brain and detection of volumetric changes associated with preterm birth. In Sixth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’03), Lecture Notes in Computer Science, 2003. J. P. Boardman, K. Bhatia, S. Counsell, J. Allsop, O. Kapellou, M. A. Rutherford, A. D. Edwards, J. V. Hajnal, and D. Rueckert. An evaluation of deformation-based morphometry in the developing human brain and detection of volumetric changes associated with preterm birth. In Sixth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’03), Lecture Notes in Computer Science, 2003.
6.
Zurück zum Zitat F. L. Bookstein. Principal Warps: Thin-plate splines and the decomposition of deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(6):567–585, 1989.CrossRefMATH F. L. Bookstein. Principal Warps: Thin-plate splines and the decomposition of deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(6):567–585, 1989.CrossRefMATH
7.
Zurück zum Zitat R. Boyes, D. Rueckert, P. Aljabar, J. Whitwell, J. Schott, D. Hill, and N. Fox. Cerebral atrophy measurements using jacobian integration: Comparison with the boundary shift integral. NeuroImage, 32(1):159–169, 2006.CrossRef R. Boyes, D. Rueckert, P. Aljabar, J. Whitwell, J. Schott, D. Hill, and N. Fox. Cerebral atrophy measurements using jacobian integration: Comparison with the boundary shift integral. NeuroImage, 32(1):159–169, 2006.CrossRef
8.
Zurück zum Zitat M. Bro-Nielsen and C. Gramkow. Fast fluid registration of medical images. In Proc. 4th International Conference Visualization in Biomedical Computing (VBC’96), pages 267–276, 1996. M. Bro-Nielsen and C. Gramkow. Fast fluid registration of medical images. In Proc. 4th International Conference Visualization in Biomedical Computing (VBC’96), pages 267–276, 1996.
9.
Zurück zum Zitat V. Cardenas, C. Studholme, S. Gazdzinski, T. Durazzo, and D. Meyerhoff. Deformation-based morphometry of brain changes in alcohol dependence and abstinence. NeuroImage, 34(3): 879–887, 2006.CrossRef V. Cardenas, C. Studholme, S. Gazdzinski, T. Durazzo, and D. Meyerhoff. Deformation-based morphometry of brain changes in alcohol dependence and abstinence. NeuroImage, 34(3): 879–887, 2006.CrossRef
10.
Zurück zum Zitat R. Chandrashekara, R. Mohiaddin, R. Razavi, and D. Rueckert. Nonrigid image registration with subdivision lattices: Application to cardiac MR image analysis. In Tenth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’07), pages 335–342, 2007. R. Chandrashekara, R. Mohiaddin, R. Razavi, and D. Rueckert. Nonrigid image registration with subdivision lattices: Application to cardiac MR image analysis. In Tenth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’07), pages 335–342, 2007.
11.
Zurück zum Zitat R. Chandrashekara, R. Mohiaddin, and D. Rueckert. Analysis of myocardial motion and strain patterns using a cylindrical B-spline transformation model. In Surgery Simulation and Soft Tissue Modelling (IS4TM 03), pages 88–99, 2003. R. Chandrashekara, R. Mohiaddin, and D. Rueckert. Analysis of myocardial motion and strain patterns using a cylindrical B-spline transformation model. In Surgery Simulation and Soft Tissue Modelling (IS4TM 03), pages 88–99, 2003.
12.
Zurück zum Zitat R. Chandrashekara, R. H. Mohiaddin, and D. Rueckert. Analysis of myocardial motion in tagged MR images using non-rigid image registration. In Proc. SPIE Medical Imaging 2002: Image Processing, pages 1168–1179, San Diego, CA, Feb. 2002. R. Chandrashekara, R. H. Mohiaddin, and D. Rueckert. Analysis of myocardial motion in tagged MR images using non-rigid image registration. In Proc. SPIE Medical Imaging 2002: Image Processing, pages 1168–1179, San Diego, CA, Feb. 2002.
13.
Zurück zum Zitat Y. Choi and S. Lee. Injectivity conditions of 2D and 3D uniform cubic B-spline functions. Graphical Models, 62(6):411–427, 2000.CrossRefMATH Y. Choi and S. Lee. Injectivity conditions of 2D and 3D uniform cubic B-spline functions. Graphical Models, 62(6):411–427, 2000.CrossRefMATH
14.
Zurück zum Zitat G. E. Christensen, R. D. Rabbitt, and M. I. Miller. Deformable templates using large deformation kinematics. IEEE Transactions on Image Processing, 5(10):1435–1447, 1996.CrossRef G. E. Christensen, R. D. Rabbitt, and M. I. Miller. Deformable templates using large deformation kinematics. IEEE Transactions on Image Processing, 5(10):1435–1447, 1996.CrossRef
15.
Zurück zum Zitat G. E. Christensen, R. D. Rabbitt, M. I. Miller, S. C. Joshi, U. Grenander, T. A. Coogan, and D. C. van Essen. Topological properties of smooth anatomic maps. In Information Processing in Medical Imaging: Proc. 14th International Conference (IPMI’95), pages 101–112, 1995. G. E. Christensen, R. D. Rabbitt, M. I. Miller, S. C. Joshi, U. Grenander, T. A. Coogan, and D. C. van Essen. Topological properties of smooth anatomic maps. In Information Processing in Medical Imaging: Proc. 14th International Conference (IPMI’95), pages 101–112, 1995.
16.
Zurück zum Zitat A. Collignon, F. Maes, D. Delaere, D. Vandermeulen, P. Seutens, and G. Marchal. Automated multimodality image registration using information theory. In Information Processing in Medical Imaging: Proc. 14th International Conference (IPMI’95), pages 263–274, 1995. A. Collignon, F. Maes, D. Delaere, D. Vandermeulen, P. Seutens, and G. Marchal. Automated multimodality image registration using information theory. In Information Processing in Medical Imaging: Proc. 14th International Conference (IPMI’95), pages 263–274, 1995.
17.
Zurück zum Zitat T. F. Cootes, C. Beeston, G. J. Edwards, and C. J. Taylor. A unified framework for atlas matching using active appearance models. In Information Processing in Medical Imaging: Proc. 16th International Conference (IPMI’99), pages 322–333, 1999. T. F. Cootes, C. Beeston, G. J. Edwards, and C. J. Taylor. A unified framework for atlas matching using active appearance models. In Information Processing in Medical Imaging: Proc. 16th International Conference (IPMI’99), pages 322–333, 1999.
18.
Zurück zum Zitat T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham. Active Shape Models - their training and application. Computer Vision and Image Understanding, 61(1):38–59, 1995.CrossRef T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham. Active Shape Models - their training and application. Computer Vision and Image Understanding, 61(1):38–59, 1995.CrossRef
19.
Zurück zum Zitat S. Coquillart. Extended free-form deformation: A sculpturing tool for 3D geometric modelling. Computer Graphics, 24(4):187–196, 1986.CrossRef S. Coquillart. Extended free-form deformation: A sculpturing tool for 3D geometric modelling. Computer Graphics, 24(4):187–196, 1986.CrossRef
20.
Zurück zum Zitat C. Davatzikos. Spatial transformation and registration of brain images using elastically deformable models. Computer Vision and Image Understanding, 66(2):207–222, 1997.CrossRef C. Davatzikos. Spatial transformation and registration of brain images using elastically deformable models. Computer Vision and Image Understanding, 66(2):207–222, 1997.CrossRef
21.
Zurück zum Zitat R. H. Davies, C. J. Twining, T. F. Cootes, J. C. Waterton, and C. J. Taylor. 3D statistical shape models using direct optimization of description length. In Proc. 7th European Conference on Computer Vision (ECCV’02), pages 3–20, 2002. R. H. Davies, C. J. Twining, T. F. Cootes, J. C. Waterton, and C. J. Taylor. 3D statistical shape models using direct optimization of description length. In Proc. 7th European Conference on Computer Vision (ECCV’02), pages 3–20, 2002.
22.
Zurück zum Zitat R. H. Davies, C. J. Twining, T. F. Cootes, J. C. Waterton, and C. J. Taylor. A minimum description length approach to statistical shape modeling. IEEE Transactions on Medical Imaging, 21(5):525–537, 2002.CrossRef R. H. Davies, C. J. Twining, T. F. Cootes, J. C. Waterton, and C. J. Taylor. A minimum description length approach to statistical shape modeling. IEEE Transactions on Medical Imaging, 21(5):525–537, 2002.CrossRef
23.
Zurück zum Zitat M. H. Davis, A. Khotanzad, D. P. Flamig, and S. E. Harms. A physics-based coordinate transformation for 3-D image matching. IEEE Transactions on Medical Imaging, 16(3): 317–328, 1997.CrossRef M. H. Davis, A. Khotanzad, D. P. Flamig, and S. E. Harms. A physics-based coordinate transformation for 3-D image matching. IEEE Transactions on Medical Imaging, 16(3): 317–328, 1997.CrossRef
24.
Zurück zum Zitat E. R. E. Denton, L. I. Sonoda, D. Rueckert, S. C. Rankin, C. Hayes, M. Leach, D. L. G. Hill, and D. J. Hawkes. Comparison and evaluation of rigid and non-rigid registration of breast MR images. Journal of Computer Assisted Tomography, 23:800–805, 1999.CrossRef E. R. E. Denton, L. I. Sonoda, D. Rueckert, S. C. Rankin, C. Hayes, M. Leach, D. L. G. Hill, and D. J. Hawkes. Comparison and evaluation of rigid and non-rigid registration of breast MR images. Journal of Computer Assisted Tomography, 23:800–805, 1999.CrossRef
25.
Zurück zum Zitat P. J. Edwards, D. L. G. Hill, J. A. Little, and D. J. Hawkes. A three-component deformation model for image-guided surgery. Medical Image Analysis, 2(4):355–367, 1998.CrossRef P. J. Edwards, D. L. G. Hill, J. A. Little, and D. J. Hawkes. A three-component deformation model for image-guided surgery. Medical Image Analysis, 2(4):355–367, 1998.CrossRef
26.
Zurück zum Zitat D. R. Forsey and R. H. Bartels. Hierarchical B-spline refinement. ACM Transactions on Computer Graphics, 22(4):205–212, 1988.CrossRef D. R. Forsey and R. H. Bartels. Hierarchical B-spline refinement. ACM Transactions on Computer Graphics, 22(4):205–212, 1988.CrossRef
27.
Zurück zum Zitat A. F. Frangi, D. Rueckert, J. A. Schnabel, and W. J. Niessen. Automatic 3D ASM construction via atlas-based landmarking and volumetric elastic registration. In Information Processing in Medical Imaging: Proc. 17th International Conference (IPMI’01), Lecture Notes in Computer Science, pages 78–91, Davis, CA, July 2001. Springer-Verlag. A. F. Frangi, D. Rueckert, J. A. Schnabel, and W. J. Niessen. Automatic 3D ASM construction via atlas-based landmarking and volumetric elastic registration. In Information Processing in Medical Imaging: Proc. 17th International Conference (IPMI’01), Lecture Notes in Computer Science, pages 78–91, Davis, CA, July 2001. Springer-Verlag.
28.
Zurück zum Zitat A. F. Frangi, D. Rueckert, J. A. Schnabel, and W. J. Niessen. Automatic construction of multiple-object three-dimensional statistical shape models: Application to cardiac modeling. IEEE Transactions on Medical Imaging, 21(9):1151–1166, 2002.CrossRef A. F. Frangi, D. Rueckert, J. A. Schnabel, and W. J. Niessen. Automatic construction of multiple-object three-dimensional statistical shape models: Application to cardiac modeling. IEEE Transactions on Medical Imaging, 21(9):1151–1166, 2002.CrossRef
30.
Zurück zum Zitat M. Hagenlocker and K. Fujimura. CFFD: a tool for designing flexible shapes. The Visual Computer, 14(5/6):271–287, 1998.CrossRef M. Hagenlocker and K. Fujimura. CFFD: a tool for designing flexible shapes. The Visual Computer, 14(5/6):271–287, 1998.CrossRef
31.
Zurück zum Zitat J. V. Hajnal, D. L. G. Hill, and D. J. Hawkes, editors. Medical Image Registration. CRC Press, 2001. J. V. Hajnal, D. L. G. Hill, and D. J. Hawkes, editors. Medical Image Registration. CRC Press, 2001.
32.
Zurück zum Zitat R. A. Heckemann, J. V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain mri segmentation combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.CrossRef R. A. Heckemann, J. V. Hajnal, P. Aljabar, D. Rueckert, and A. Hammers. Automatic anatomical brain mri segmentation combining label propagation and decision fusion. Neuroimage, 33(1):115–126, 2006.CrossRef
33.
Zurück zum Zitat P. Hellier, C. Barillot, É. Mémin, and P. Perex. Hierarchical estimation of a dense deformation field for 3D robust registration. IEEE Transactions on Medical Imaging, 20(5):388–402, 2001.CrossRef P. Hellier, C. Barillot, É. Mémin, and P. Perex. Hierarchical estimation of a dense deformation field for 3D robust registration. IEEE Transactions on Medical Imaging, 20(5):388–402, 2001.CrossRef
34.
Zurück zum Zitat A. Kelemen, G. Székely, and G. Gerig. Elastic model-based segmentation of 3-D neurological data sets. IEEE Transactions on Medical Imaging, 18(10):828–839, 1999.CrossRef A. Kelemen, G. Székely, and G. Gerig. Elastic model-based segmentation of 3-D neurological data sets. IEEE Transactions on Medical Imaging, 18(10):828–839, 1999.CrossRef
35.
Zurück zum Zitat S. Klein, M. Staring, and J. Pluim. Evaluation of optimization methods for nonrigid medical image registration using mutual information and B-splines. IEEE Transactions on Image Processing, 16(12):2879–2890, December 2007.CrossRefMathSciNet S. Klein, M. Staring, and J. Pluim. Evaluation of optimization methods for nonrigid medical image registration using mutual information and B-splines. IEEE Transactions on Image Processing, 16(12):2879–2890, December 2007.CrossRefMathSciNet
36.
Zurück zum Zitat J. Kybic and M. Unser. Fast parametric elastic image registration. IEEE Transactions on Image Processing, 12(11):1427–1442, 2003.CrossRef J. Kybic and M. Unser. Fast parametric elastic image registration. IEEE Transactions on Image Processing, 12(11):1427–1442, 2003.CrossRef
37.
Zurück zum Zitat S. Lee, G. Wolberg, K.-Y. Chwa, and S. Y. Shin. Image metamorphosis with scattered feature constraints. IEEE Transactions on Visualization and Computer Graphics, 2(4):337–354, 1996.CrossRef S. Lee, G. Wolberg, K.-Y. Chwa, and S. Y. Shin. Image metamorphosis with scattered feature constraints. IEEE Transactions on Visualization and Computer Graphics, 2(4):337–354, 1996.CrossRef
38.
Zurück zum Zitat S. Lee, G. Wolberg, and S. Y. Shin. Scattered data interpolation with multilevel B-splines. IEEE Transactions on Visualization and Computer Graphics, 3(3):228–244, 1997.CrossRef S. Lee, G. Wolberg, and S. Y. Shin. Scattered data interpolation with multilevel B-splines. IEEE Transactions on Visualization and Computer Graphics, 3(3):228–244, 1997.CrossRef
39.
Zurück zum Zitat M. E. Leventon, W. E. L. Grimson, and O. Faugeras. Statistical shape influence in geodesic active contours. In Proc. Conference on Computer Vision and Pattern Recognition (CVPR’00), pages 316–323, 2000. M. E. Leventon, W. E. L. Grimson, and O. Faugeras. Statistical shape influence in geodesic active contours. In Proc. Conference on Computer Vision and Pattern Recognition (CVPR’00), pages 316–323, 2000.
40.
Zurück zum Zitat N. Lin and J. S. Duncan. Generalized robust point matching using an extended free-form deformation model: Application to cardiac images. In IEEE International Symposium on Biomedical Imaging, 2004. N. Lin and J. S. Duncan. Generalized robust point matching using an extended free-form deformation model: Application to cardiac images. In IEEE International Symposium on Biomedical Imaging, 2004.
41.
Zurück zum Zitat D. Loeckx, F. Maes, D. Vandermeulen, and P. Suetens. Nonrigid image registration using free-form deformations with a local rigidity constraint. In Seventh Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’04), pages 639–646, 2004. D. Loeckx, F. Maes, D. Vandermeulen, and P. Suetens. Nonrigid image registration using free-form deformations with a local rigidity constraint. In Seventh Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’04), pages 639–646, 2004.
42.
Zurück zum Zitat R. MacCracken and K. I. Joy. Free-form deformations with lattices of arbitrary topology. In SIGGRAPH, pages 181–188, 1996. R. MacCracken and K. I. Joy. Free-form deformations with lattices of arbitrary topology. In SIGGRAPH, pages 181–188, 1996.
43.
Zurück zum Zitat F. Maes, A. Collignon, D. Vandermeulen, G. Marechal, and R. Suetens. Multimodality image registration by maximization of mutual information. IEEE Transactions on Medical Imaging, 16(2):187–198, 1997.CrossRef F. Maes, A. Collignon, D. Vandermeulen, G. Marechal, and R. Suetens. Multimodality image registration by maximization of mutual information. IEEE Transactions on Medical Imaging, 16(2):187–198, 1997.CrossRef
44.
Zurück zum Zitat J. B. A. Maintz and M. A. Viergever. A survey of medical image registration. Medical Image Analysis, 2(1):1–36, 1998.CrossRef J. B. A. Maintz and M. A. Viergever. A survey of medical image registration. Medical Image Analysis, 2(1):1–36, 1998.CrossRef
45.
Zurück zum Zitat D. Mattes, D. R. Haynor, H. Vesselle, T. K. Lewellen, and W. Eubank. PET–CT image registration in the chest using free-form deformations. IEEE Transactions on Medical Imaging, 22(1):120–128, 2003.CrossRef D. Mattes, D. R. Haynor, H. Vesselle, T. K. Lewellen, and W. Eubank. PET–CT image registration in the chest using free-form deformations. IEEE Transactions on Medical Imaging, 22(1):120–128, 2003.CrossRef
46.
Zurück zum Zitat K. McLeish, D. L. G. Hill, D. Atkinson, J. M. Blackall, and R. Razavi. A study of the motion and deformation of the heart due to respiration. IEEE Transactions on Medical Imaging, 21(9):1142–1150, 2002.CrossRef K. McLeish, D. L. G. Hill, D. Atkinson, J. M. Blackall, and R. Razavi. A study of the motion and deformation of the heart due to respiration. IEEE Transactions on Medical Imaging, 21(9):1142–1150, 2002.CrossRef
47.
Zurück zum Zitat H. Ólafsdóttir, M. B. Stegmann, B. K. Ersbøll, and H. B. Larsson. A comparison of FFD-based nonrigid registration and AAMs applied to myocardial perfusion MRI. In International Symposium on Medical Imaging 2006, San Diego, CA, volume 6144, 2006. H. Ólafsdóttir, M. B. Stegmann, B. K. Ersbøll, and H. B. Larsson. A comparison of FFD-based nonrigid registration and AAMs applied to myocardial perfusion MRI. In International Symposium on Medical Imaging 2006, San Diego, CA, volume 6144, 2006.
48.
Zurück zum Zitat J. P. W. Pluim, J. B. A. Maintz, and M. A. Viergever. Mutual-information-based registration of medical images: a survey. IEEE Transactions on Medical Imaging, 22:986–1004, 2003.CrossRef J. P. W. Pluim, J. B. A. Maintz, and M. A. Viergever. Mutual-information-based registration of medical images: a survey. IEEE Transactions on Medical Imaging, 22:986–1004, 2003.CrossRef
49.
Zurück zum Zitat T. Rohlfing, R. Brandt, R. Menzel, and C. M. Jr. Evaluation of atlas selection strategies for atlas-based image segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.CrossRef T. Rohlfing, R. Brandt, R. Menzel, and C. M. Jr. Evaluation of atlas selection strategies for atlas-based image segmentation with application to confocal microscopy images of bee brains. NeuroImage, 21(4):1428–1442, 2004.CrossRef
50.
Zurück zum Zitat T. Rohlfing and J. C. R. Maurer. Nonrigid image registration in shared-memory multiprocessor environments with application to brains, breasts, and bees. IEEE Transactions on Information Technology in Biomedicine, 7(1):16–25, 2003.CrossRef T. Rohlfing and J. C. R. Maurer. Nonrigid image registration in shared-memory multiprocessor environments with application to brains, breasts, and bees. IEEE Transactions on Information Technology in Biomedicine, 7(1):16–25, 2003.CrossRef
51.
Zurück zum Zitat T. Rohlfing, J. C. R. Maurer, D. A. Bluemke, and M. A. Jacobs. Volume-preserving nonrigid registration of MR breast images using free-form deformation with an incompressibility constraint. IEEE Transactions on Medical Imaging, 22(6):730–741, 2003.CrossRef T. Rohlfing, J. C. R. Maurer, D. A. Bluemke, and M. A. Jacobs. Volume-preserving nonrigid registration of MR breast images using free-form deformation with an incompressibility constraint. IEEE Transactions on Medical Imaging, 22(6):730–741, 2003.CrossRef
52.
Zurück zum Zitat T. Rohlfing, E. Sullivan, and A. Pfefferbaum. Deformation-based brain morphometry to track the course of alcoholism: Differences between intra-subject and inter-subject analysis. Psychiatry Research: Neuroimaging, 146(2):157–170, 2006.CrossRef T. Rohlfing, E. Sullivan, and A. Pfefferbaum. Deformation-based brain morphometry to track the course of alcoholism: Differences between intra-subject and inter-subject analysis. Psychiatry Research: Neuroimaging, 146(2):157–170, 2006.CrossRef
53.
Zurück zum Zitat D. Rueckert, C. Hayes, C. Studholme, P. Summers, M. Leach, and D. J. Hawkes. Non-rigid registration of breast MR images using mutual information. In First Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’98), Lecture Notes in Computer Science, pages 1144–1152, Cambridge, MA, 1998. Springer-Verlag. D. Rueckert, C. Hayes, C. Studholme, P. Summers, M. Leach, and D. J. Hawkes. Non-rigid registration of breast MR images using mutual information. In First Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’98), Lecture Notes in Computer Science, pages 1144–1152, Cambridge, MA, 1998. Springer-Verlag.
54.
Zurück zum Zitat D. Rueckert, L. I. Sonoda, C. Hayes, D. L. G. Hill, M. O. Leach, and D. J. Hawkes. Non-rigid registration using free-form deformations: Application to breast MR images. IEEE Transactions on Medical Imaging, 18(8):712–721, 1999.CrossRef D. Rueckert, L. I. Sonoda, C. Hayes, D. L. G. Hill, M. O. Leach, and D. J. Hawkes. Non-rigid registration using free-form deformations: Application to breast MR images. IEEE Transactions on Medical Imaging, 18(8):712–721, 1999.CrossRef
55.
Zurück zum Zitat J. A. Schnabel, D. Rueckert, M. Quist, J. M. Blackall, A. D. C. Smith, T. Hartkens, G. P. Penney, W. A. Hall, H. Liu, C. L. Truwit, F. A. Gerritsen, D. L. G. Hill, and D. J. Hawkes. A generic framework for non-rigid registration based on non-uniform multi-level free-form deformations. In Fourth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’01), Lecture Notes in Computer Science, pages 573–581, Utrecht, NL, Oct. 2001. Springer-Verlag. J. A. Schnabel, D. Rueckert, M. Quist, J. M. Blackall, A. D. C. Smith, T. Hartkens, G. P. Penney, W. A. Hall, H. Liu, C. L. Truwit, F. A. Gerritsen, D. L. G. Hill, and D. J. Hawkes. A generic framework for non-rigid registration based on non-uniform multi-level free-form deformations. In Fourth Int. Conf. on Medical Image Computing and Computer-Assisted Intervention (MICCAI ’01), Lecture Notes in Computer Science, pages 573–581, Utrecht, NL, Oct. 2001. Springer-Verlag.
56.
Zurück zum Zitat J. A. Schnabel, C. Tanner, A. D. Castellano-Smith, A. Degenhard, M. O. Leach, D. R. Hose, D. L. G. Hill, and D. J. Hawkes. Validation of non-rigid image registration using finite element methods: Application to breast MR images. IEEE Transactions on Medical Imaging, 22(2):238–247, 2003.CrossRef J. A. Schnabel, C. Tanner, A. D. Castellano-Smith, A. Degenhard, M. O. Leach, D. R. Hose, D. L. G. Hill, and D. J. Hawkes. Validation of non-rigid image registration using finite element methods: Application to breast MR images. IEEE Transactions on Medical Imaging, 22(2):238–247, 2003.CrossRef
57.
Zurück zum Zitat T. W. Sederberg and S. R. Parry. Free-form deformation of solid geometric models. SIGGRAPH, 20(4):151–160, 1986.CrossRef T. W. Sederberg and S. R. Parry. Free-form deformation of solid geometric models. SIGGRAPH, 20(4):151–160, 1986.CrossRef
58.
Zurück zum Zitat D. Shen and C. Davatzikos. Hammer: Hierarchical attribute matching mechanism for elastic registration. IEEE Transactions on Medical Imaging, 21(11):1421–1439, 2002.CrossRef D. Shen and C. Davatzikos. Hammer: Hierarchical attribute matching mechanism for elastic registration. IEEE Transactions on Medical Imaging, 21(11):1421–1439, 2002.CrossRef
59.
Zurück zum Zitat C. Studholme, V. Cardenas, R. Blumenfeld, N. Schuff, H. Rosen, B. Miller, and M. Weiner. A deformation tensor morphometry study of semantic dementia with quantitative validation. NeuroImage, 21(4):1387–1398, 2004.CrossRef C. Studholme, V. Cardenas, R. Blumenfeld, N. Schuff, H. Rosen, B. Miller, and M. Weiner. A deformation tensor morphometry study of semantic dementia with quantitative validation. NeuroImage, 21(4):1387–1398, 2004.CrossRef
60.
Zurück zum Zitat C. Studholme, D. L. G. Hill, and D. J. Hawkes. An overlap invariant entropy measure of 3D medical image alignment. Pattern Recognition, 32(1):71–86, 1998.CrossRef C. Studholme, D. L. G. Hill, and D. J. Hawkes. An overlap invariant entropy measure of 3D medical image alignment. Pattern Recognition, 32(1):71–86, 1998.CrossRef
61.
Zurück zum Zitat J.-P. Thirion. Image matching as a diffusion process: An analogy with Maxwell’s demons. Medical Image Analysis, 2(3):243–260, 1998.CrossRef J.-P. Thirion. Image matching as a diffusion process: An analogy with Maxwell’s demons. Medical Image Analysis, 2(3):243–260, 1998.CrossRef
62.
Zurück zum Zitat P. Viola. Alignment By Maximization of Mutual Information. PhD thesis, Massachusetts Institute of Technology. A.I. Technical Report No. 1548, 1995. P. Viola. Alignment By Maximization of Mutual Information. PhD thesis, Massachusetts Institute of Technology. A.I. Technical Report No. 1548, 1995.
63.
Zurück zum Zitat G. Wahba. Spline Models for Observational Data. Society for Industrial and Applied Mathematics, 1990. G. Wahba. Spline Models for Observational Data. Society for Industrial and Applied Mathematics, 1990.
64.
Zurück zum Zitat J. Wang and T. Jiang. Nonrigid registration of brain MRI using NURBS. Pattern Recognition Letters, 28(2):214–223, 2007.CrossRef J. Wang and T. Jiang. Nonrigid registration of brain MRI using NURBS. Pattern Recognition Letters, 28(2):214–223, 2007.CrossRef
65.
Zurück zum Zitat E. A. Zerhouni, D. M. Parish, W. J. Rogers, A. Yang, and E. P. Shapiro. Human heart: Tagging with MR imaging – a method for non-invasive assessment of myocardial motion. Radiology, 169:59–63, 1988.CrossRef E. A. Zerhouni, D. M. Parish, W. J. Rogers, A. Yang, and E. P. Shapiro. Human heart: Tagging with MR imaging – a method for non-invasive assessment of myocardial motion. Radiology, 169:59–63, 1988.CrossRef
66.
Zurück zum Zitat B. Zitova and J. Flusser. Image registration methods: a survey. Image and Vision Computing, 21(11):977–1000, 2003.CrossRef B. Zitova and J. Flusser. Image registration methods: a survey. Image and Vision Computing, 21(11):977–1000, 2003.CrossRef
Metadaten
Titel
Non-rigid registration using free-form deformations
verfasst von
D. Rueckert
P. Aljabar
Copyright-Jahr
2015
Verlag
Springer US
DOI
https://doi.org/10.1007/978-0-387-09749-7_15

Premium Partner