Multi-affine registration using local polynomial expansion

Journal of Zhejiang University: Science C

Volumn 11, Issue 7, 2010, Pages 495-503

  Wang, Yuan Jun ^a,b   Farnebäck, Gunnar ^b   Westin, Carl Fredrik ^b  

^a FUDAN UNIVERSITY   (China)

^b BRIGHAM AND WOMEN S HOSPITAL   (United States)

Author keywords

Deformable registration; Least squares; Multi affine; Normalized convolution; Polynomial expansion

Indexed keywords

AFFINE MODEL; AFFINE PARAMETERS; AFFINE REGISTRATION; CONVERGENT RATE; DEFORMABLE REGISTRATION; GENERALIZED MODELS; LEAST SQUARE; LINEAR MODEL; NON-LINEAR; NON-LINEAR DEFORMATION FIELDS; NORMALIZED CONVOLUTION; POLYNOMIAL EXPANSION; QUADRATIC MODELS; QUADRATIC POLYNOMIAL; REGISTRATION ALGORITHMS;

ALGORITHMS; CONVOLUTION; DEFORMATION; EXPANSION; EXPERIMENTS; POLYNOMIALS;

MATHEMATICAL MODELS;

EID: 77954466427     PISSN: 18691951     EISSN: 1869196X     Source Type: Journal    
DOI: 10.1631/jzus.C0910658     Document Type: Article

References (19)

1. Andronache, A., von Siebenhal, M., Szekeley, G., Cattin, P., 2008. Non-rigid registration of multimodal images using both mutual information and cross-correlation. Med. Image Anal., 12(1):3-15. [doi:10.1016/j.media.2007.06. 005]
2. Antoine Maintz, J.B., Viergever, M.A., 1998. A survey of medical image registration. Med. Image Anal., 2(1):1-36. [doi:10.1016/S1361-8415(01)80026-8]
3. Arsigny, V., Pennec, X., Ayache, N., 2005. Polyrigid and polyaffine transformations: a novel geometrical tool to deal with non-rigid deformationsapplication to the registration of histological slices. Med. Image Anal., 9(6):507-523. [doi:10.1016/j.media.2005.04.001]
4. Farnebäck, G., 2002. Polynomial Expansion for Orientation and Motion Estimation. PhD Thesis, Dissertation No. 790, Linköping Studies in Science and Technology, Sweden.
5. Farnebäck, G., Westin, C.F., 2006. Affine and deformable registration based on polynomial expansion. LNCS, 4190:857-864.
6. Gan, R., Chung, A.C.S., Liao, S., 2008. Maximum distance-gradient for robust image registration. Med. Image Anal., 12(4):452-468. [doi:10.1016/j. media.2008.01.004]
7. Gholipour, A., Kehtarnavaz, N., Bridggs, R.W., Gopinath, K.S., Ringe, W., Whittemove, A., Cheshkov, S., Bakhadinrov, K., 2008. Validation of nonrigid registration between functional and anatomical magnetic resonance brain images. IEEE Trans. Biomed. Eng., 55(2):563-571. [doi:10.1109/TBME.2007.912641]
8. Hellier, P., Barillot, C., Corouge, I., Gibaud, B., le Houalher, G., Collins, D.L., Evans, A., Malandain, G., Ayache, N., Christensen, G.E., et al., 2003. Retrospective evaluation of inter-subject brain registration. IEEE Trans. Med. Imag., 22(9):1120-1130. [doi:10.1109/TMI.2003.816961]
9. Hill, D.L.G., Batchelor, P.G., Holden, M., Hawkers, D.J., 2001. Medical image registration. Phys. Med. Biol., 46(3):R1-R45. [doi:10.1088/0031-9155/46/3/ 201]
10. Holden, M., 2008. A review of geometric transformations for nonrigid body registration. IEEE Trans. Med. Imag., 27(1):111-128. [doi:10.1109/TMI.2007. 904691]
11. Noblet, V., Heinrich, C., Heitz, F., Armspach, J.P., 2006. Retrospective evaluation of a topology preserving non-rigid registration method. Med. Image Anal., 10(3):366-384. [doi:10.1016/j.media.2006.01.001]
12. Pennec, X., Cachier, P., Ayache, N., 1999. Understanding the Demons' algorithm: 3D non-rigid registration by gradient decent. LNCS, 1679:597-605. [doi:10.1007/10704282-64]
13. Pluim, J.P.W., Antoine Maintz, J.B., Viergever, M.A., 2004. f-Information measures in medical image registration. IEEE Trans. Med. Imag., 23(12):1508-1516. [doi:10.1109/TMI.2004.836872]
14. Rehman, T., Haber, E., Pryor, G., Melonakos, J., Tannenbaum, A., 2009. 3D nonrigid registration via optimal mass transport on the GPU. Med. Image Anal., 13(6):931-940. [doi:10.1016/j.media.2008.10.008]
15. Schnabel, J.A., Tanner, C., Castellano-Smith, A.D., Degenhard, A., Leach, M.O., Hose, D.R., Hill, D.L.G., Hawkes, D.J., 2008. Validation of nonrigid image registration using finite-element methods: application to breast MR images. IEEE Trans. Med. Imag., 22(3):238-247. [doi:10.1109/TMI.2002.808367]
16. Thirion, J.P., 1998. Image matching as a diffusion process: an analogy with Maxwell's demons. Med. Image Anal., 2(3):243-260. [doi:10.1016/S1361- 8415(98)80022-4]
17. Wells, W.M., Viola, P., Atsumi, H., Nakajima, S., Kikinis, R., 1996. Multi-modal volume registration by maximization of mutual information. Med. Image Anal., 1(1):35-51. [doi:10.1016/S1361-8415(01)80004-9]
18. Westin, C.F., 1994. A Tensor Framework for Multidimensional Signal Processing. PhD Thesis, Dissertation No. 348, Linköping Studies in Science and Technology, Sweden.
19. Yuan, Z.N., Wu, F., Zhuang, Y.T., 2006. Multisensor image registration using multi-resolution shape analysis. J. Zhejiang Univ.-Sci. A, 7(4):549-555. [doi:10.1631/jzus.2006.A0549]