The metric spaces, Euler equations, and normal geodesic image motions of computational anatomy

IEEE International Conference on Image Processing

Volumn 2, Issue , 2003, Pages 635-638

  Miller, M I ^a   Trouve A ^b   Younes, L ^c  

^a Johns Hopkins University   (United States)

^b UNIVERSITÉ PARIS 13   (France)

^c Inserm   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GEODESY; KINETIC ENERGY; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MOTION ESTIMATION; THEOREM PROVING; VECTORS;

COMPUTATIONAL ANATOMY (CA); DIFFEOMORPHIC FLOW;

IMAGE ANALYSIS;

EID: 0344271953     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. U. Grenander and M. I. Miller, "Computational anatomy: An emerging discipline," Quart. App. Math., vol. 56, pp. 617-694, 1998.
2. G. E. Christensen, R. D. Rabbitt, and M. I. Miller, "Deformable templates using large deformation kinematics," IEEE Trans. Image Processing, vol. 5, no. 10, pp. 1435-1447, October 1996.
3. A Trouvé, "An approach of pattern recognition through infinite dimensional group action," Rapport de recherche du LMENS, vol. CNRS-URA-762, 1995.
4. P. Dupuis, U. Grenander, and M. I. Miller, "Variational problems on flows of diffeomorphisms for image matching," Quart. App. Math., vol. 56, pp. 587-600, 1998.
5. M.I. Miller and L. Younes, "Group actions, homeomorphisms, and matching: A general framework," IJCV, vol. 41, no. 1/2, pp. 61-84, 2001.
6. M.I. Miller, A. Trouvé, and L. Younes, "On the metrics and Euler-Lagrange equations of computational anatomy," Annual Review of Biomedical Engineering, vol. 4, pp. 375-405, 2002.
7. D. Mumford, "Pattern theory and vision," in Questions Mathématiques En Traitement Du Signal et de L'Image, chapter 3, pp. 7-13. Institut Henri Poincaré, 1998.
8. Faisal Beg, Variational and Computational-Methods for Flows of Diffeomorphisms in Image Matching and Growth in Computational Anatomy, PhD thesis, The Johns Hopkins University, July 2003.
9. M. F. Beg, M. Miller, A. Trouvé, and L. Younes, "Computational Anatomy: Computing metrics on anatomical shapes," Proceedings of 2002 IEEE ISBI, pp. 341-344, July 2002.