A family of fast spherical registration algorithms for cortical shapes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 8159 LNCS, Issue , 2013, Pages 246-257

  Gutman, Boris A ^a   Madsen, Sarah K ^a   Toga, Arthur W ^a   Thompson, Paul M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Diffeomorphic Demons; Fluid Registration; Shape Registration; Spherical Mapping; Vector Spherical Harmonics

Indexed keywords

DIFFEOMORPHIC; DIFFUSION EQUATIONS; FLUID REGISTRATION; HARMONIC REPRESENTATION; REGISTRATION ALGORITHMS; SHAPE REGISTRATION; SPHERICAL VECTOR FIELDS; VECTOR SPHERICAL HARMONICS;

ALGORITHMS; DIFFUSION IN LIQUIDS; HARMONIC ANALYSIS; IMAGE ANALYSIS; OPTIMIZATION;

SPHERES;

EID: 84883282927     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-319-02126-3_24     Document Type: Conference Paper

References (22)

1. Yeo, B.T.T., Sabuncu, M.R., Vercauteren, T., Ayache, N., Fischl, B., Golland, P.: Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE T. Med. Imaging 29, 650-668 (2010)
2. Wang, Y., Chan, T.F., Toga, A.W., Thompson, P.M.: Multivariate tensor-based brain anatomical surface morphometry via holomorphic one-forms. In: Yang, G.-Z., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds.) MICCAI 2009, Part I. LNCS, vol. 5761, pp. 337-344. Springer, Heidelberg (2009)
3. Shi, Y., Morra, J.H., Thompson, P.M., Toga, A.W.: Inverse-consistent surface mapping with Laplace-Beltrami eigen-features. In: Prince, J.L., Pham, D.L., Myers, K.J. (eds.) IPMI 2009. LNCS, vol. 5636, pp. 467-478. Springer, Heidelberg (2009)
4. Glaunes, J., Vaillant, M., Miller, M.I.: Landmark matching via large deformation diffeomorphisms on the sphere. Journal of Mathematical Imaging and Vision 20, 179-200 (2004)
5. Shi, J., Thompson, P.M., Gutman, B., Wang, Y.: Surface fluid registration of conformal representation: Application to detect disease burden and genetic influence on hippocampus. Neuroimage 78, 111-134 (2013)
6. Christensen, G.E., Rabbitt, R.D., Miller, M.I.: Deformable templates using large deformation kinematics. IEEE Transactions on Image Processing 5, 1435-1447 (1996)
7. Thompson, P.M., Woods, R.P., Mega, M.S., Toga, A.W.: Mathematical/ computational challenges in creating deformable and probabilistic atlases of the human brain. Human Brain Mapping 9, 81-92 (2000)
8. Lepore, N., Leow, A., Thompson, P.: Landmark matching on the sphere using distance functions. In: 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, pp. 450-453 (2006)
9. Miller, M.I., Younes, L.: Group Actions, Homeomorphisms, and Matching: A General Framework. Int. J. Comput. Vision 41, 61-84 (2001)
10. Tosun, D., Prince, J.L.: Cortical surface alignment using geometry driven multispectral optical flow. In: Christensen, G.E., Sonka, M. (eds.) IPMI 2005. LNCS, vol. 3565, pp. 480-492. Springer, Heidelberg (2005) (Pubitemid 41425339)
11. Fischl, B., Sereno, M., Tootell, R., Dale, A.: High-resolution intersubject averaging and a coordinate system for the cortical surface. Human Brain Mapping 8, 272-284 (1999)
12. Thirion, J.P.: Image matching as a diffusion process: an analogy with Maxwell's demons. Medical Image Analysis 2, 243-260 (1998)
13. Vercauteren, T., Pennec, X., Perchant, A., Ayache, N.: Diffeomorphic demons: Efficient non-parametric image registration. Neuroimage 45, S61-S72 (2009)
14. D'Agostino, E., Maes, F., Vandermeulen, D., Suetens, P.: A viscous fluid model for multimodal non-rigid image registration using mutual information. Medical Image Analysis 7, 565-575 (2003)
15. Bro-Nielsen, M., Gramkow, C.: Fast Fluid Registration of Medical Images. In: Höhne, K.H., Kikinis, R. (eds.) VBC 1996. LNCS, vol. 1131, pp. 267-276. Springer, Heidelberg (1996) (Pubitemid 126133707)
16. Kostelec, P.J., Maslen, D.K., Healy, D.M., Rockmore, D.N.: Computational harmonic analysis for tensor fields on the two-sphere. J. Comput. Phys. 162, 514-535 (2000)
17. Courant, R., Hilbert, D.: Methods of mathematical physics. Interscience Publishers, New York (1953)
18. Chung, M.K., Hartley, R., Dalton, K.M., Davidson, R.J.: Encoding Cortical Surface by Spherical Harmonics. Stat. Sinica 18, 1269-1291 (2008)
19. Cachier, P., Ayache, N.: Isotropic Energies, Filters and Splines for Vector Field Regularization. J. Math. Imaging Vis. 20, 251-265 (2004)
20. Healy, D.M., Rockmore, D.N., Kostelec, P.J., Moore, S.: FFTs for the 2-sphere-improvements and variations. J. Fourier Anal. Appl. 9, 341-385 (2003)
21. Friedel, I., Schroeder, P., Desbrun, M.: Unconstrained spherical parameterization. In: ACM SIGGRAPH 2005 Sketches, p. 134. ACM, Los Angeles (2005)
22. Gutman, B., Wang, Y., Lui, L.M., Chan, T.F., Thompson, P.M., Toga, A.W.: Shape Registration with Spherical Cross Correlation. In: MICCAI Workshop on Mathematical Foundations in Computational Anatomy, MFCA 2008 (2008)