Symmetric non-rigid registration: A geometric theory and some numerical techniques

Journal of Mathematical Imaging and Vision

Volumn 34, Issue 1, 2009, Pages 61-88

  Tagare, Hemant D ^a   Groisser, David ^b   Skrinjar, Oskar ^c  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Image registration; Inverse consistent registration; Non rigid registration; Symmetric registration

Indexed keywords

BRAIN IMAGES; DIFFEOMORPHISM; DIFFERENTIAL VOLUMES; DIMENSIONAL SPACES; EUCLIDEAN SPACES; FUNCTION PROPERTIES; GEOMETRIC THEORIES; GRAPH-BASED; INFORMATION-THEORY; INVERSE CONSISTENT REGISTRATION; JACOBIANS; KEY OBJECTIVES; MACHINE PRECISION; NON-RIGID REGISTRATION; NON-RIGID REGISTRATION ALGORITHMS; NUMERICAL - TECHNIQUES; NUMERICAL COMPUTATIONS; NUMERICAL EXPERIMENTS; OBJECTIVE FUNCTIONS; REGISTRATION ACCURACIES; SYMMETRIC REGISTRATION;

ALGORITHMS; IMAGE REGISTRATION; STANDARDS;

THREE DIMENSIONAL;

EID: 67349178302     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-008-0129-7     Document Type: Article

References (31)

1. Hajnal, J.V., Hill, D.L.G., Hawkes, D.J.: Medical Image Registration. CRC Press, Boca Raton (2001)
2. Toga, A.: Brain Warping. Academic Press, San Diego (1999)
3. Goshtaby, A.A.: 2-D and 3-D Image Registration for Medical Remote Sensing and Industrial Applications. Wiley, Hoboken (2005)
4. J.B.A. Maintz M.A. Viergever 1998 A survey of image registration Med. Image Anal. MEDIA 2 1 1 36
5. B. Zitová J. Flusser 2003 Image registration methods: a survey Image Vis. Comput. 21 11 977 1000
6. J.P.W. Pluim J.B.A. Maintz M.A. Viergever 2003 Mutual information based registration of medical images: a survey IEEE Trans. Med. Imag. 22 8 986 1004
7. G.E. Christensen H.J. Johnson 2001 Consistent image registration IEEE Trans. Med. Imag. 20 7 568 582
8. H.J. Johnson G.E. Christensen 2002 Consistent landmark and intensity-based image registration IEEE Trans. Med. Imag. 21 5 450 461
9. G.E. Christensen H.J. Johnson 2003 Invertibility and transitivity analysis for non-rigid image registration J. Electron. Imag. 12 1 106 117
10. J. Ashburner J.L.R. Andersson K.J. Friston 1999 High-dimensional image registration using symmetric prior NeuroImage 9 6 619 628
11. M.F. Beg A. Khan 2007 Symmetric data attachment terms for large deformation image registration IEEE Trans. Med. Imag. 26 9 1179 1189
12. Cachier, P., Rey, D.: Symmetrization of the non-rigid registration problem using inversion-invariant energies: application to multiple sclerosis. In: Medical Image Computing and Computer Aided Intervention (MICCAI), Pittsburgh, PA, October 2000, pp. 472-481
13. P. Rogelj S. Kovacic 2006 Symmetric image registration Med. Image Anal. 10 3 484 493
14. S. Joshi B. Davis M. Jomier G. Gerig 2004 Unbiased diffeomorphic atlas construction for computational anatomy NeuroImage 23 1 S151 S160 Supplement issue on Mathematics in Brain Imaging
15. P. Lorenzen M. Prastawa B. Davis G. Gerig E. Bullitt S. Joshi 2006 Multi-modal image set registration and atlas formation Med. Image Anal. MEDIA 10 3 440 451
16. B.B. Avants C.L. Epstein M. Grossman J.C. Gee 2008 Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain Med. Image Anal. 12 1 26 41
17. H.D. Tagare D. O'Shea D. Groisser 2002 Shape based non-rigid correspondence for plane curves J. Math. Imag. Vis. 16 57 68
18. H.D. Tagare 1999 Shape-based non-rigid correspondence with applications to heart motion analysis IEEE Trans. Med. Imag. 18 7 570 579
19. Lorenzen, P., Davis, B., Joshi, S.: Model based symmetric information theoretic large deformation multi-model image registration. In: Intl. Symp. Biomedical Imaging, pp. 720-723 (2004)
20. Lorenzen, P., Davis, B., Joshi, S.: Unbiased atlas formation via large deformations metric mapping. In: J.S. Duncan, G. Gerig (eds.) Medical Image Computing and Computer Assisted Intervention (MICCAI), pp. 411-418 (2005)
21. V.A. Magnotta H.J. Bockholt H.J. Johnson G.E. Christensen N.C. Andreasen 2003 Subcortical, cerebellar and MR based consistent brain image registration NeuroImage 19 2 233 245
22. G.E. Christensen H.J. Johnson M.W. Vannier 2006 Synthesizing average 3D anatomical shapes NeuroImage 32 146 158
23. B. Li G.E. Christensen G. McLennan E.A. Hoffman J.M. Reinhardt 2003 Establishing a normative atlas of the human lung: Inter-subject warping and registration of volumetric CT Acad. Radiology 10 3 255 265
24. W. Lu P. Parikh I. El Naqa M. Nystrom J. Hubenschmidt S. Wahab S. Mutic A. Sing G.E. Christensen J.D. Bradley D.A. Low 2005 Quantitation of the four-dimensional computed tomography process for lung cancer patients Med. Phys. 32 4 890 901
25. G.E. Christensen J. He J.A. Dill J.T. Rubinstein M.W. Vannier G. Wang 2003 Automatic measurement of the labyrinth using image registration and a deformable inner ear atlas Acad. Radiology 10 9 988 999
26. W.M. Wells III P. Viola H. Atsumi S. Nakajima R. Kikinis 1996 Multi-modal volume registration by maximization of mutual information Med. Image Anal. 1 1 35 51
27. C. Studholme D.L.G. Hill D.J. Hawkes 1999 An overlap invariant entropy measure of 3D medical image alignment Pattern Recognit. 32 1 71 86
28. P. Viola W.M. Wells III 1997 Alignment by maximization of mutual information Int. J. Comput. Vis. 24 2 137 154
29. E. D'Agostino F. Maes D. Vandermeulen P. Suetens 2003 A viscous fluid model for multimodal non-rigid image registration using mutual information Med. Image Anal. 7 565 575
30. J.P.W. Pluim J.B.A. Maintz M.A. Viergever 2004 F-information measures in medical image registration IEEE Trans. Med. Imag. 23 12 1508 1516
31. Yanovsky, I., Thompson, P., Osher, S., Leow, A.: Topology preserving log-unbiased non-linear image registration: theory and implementation. In: IEEE Conf. on Computer Vision and Pattern Recognition, June 2007