Mass preserving mappings and image registration

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

Volumn 2208, Issue , 2001, Pages 120-127

  Haker, Steven ^a   Tannenbaum, Allen ^b   Kikinis, Ron ^a  

^a BRIGHAM AND WOMEN S HOSPITAL   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE REGISTRATION; MEDICAL COMPUTING; PATIENT TREATMENT;

AUTOMATED METHODS; ELASTIC REGISTRATION; IMAGE GUIDED THERAPY; IMAGING MODALITY; MASS PRESERVING MAPPINGS; MULTIPLE DATA SETS; OPTIMAL MASS TRANSPORT; REGISTRATION PROBLEMS;

MEDICAL IMAGING;

EID: 84958172507     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45468-3_15     Document Type: Conference Paper

References (21)

1. S. Angenent, S. Haker, A. Tannenbaum, and R. Kikinis, “On area preserving maps of minimal distortion,” in System Theory: Modeling, Analysis, and Control, edited by T. Djaferis and I. Schick, Kluwer, Holland, 1999, pp. 275-287.
2. S. Angenent, S. Haker, A. Tannenbaum, and R. Kikinis, “Laplace-Beltrami operator and brain surface flattening,” IEEE Trans. on Medical Imaging 18 (1999), pp. 700-711.
3. J.-D. Benamou and Y. Brenier, “A computational fluid mechanics solution to the Monge–Kantorovich mass transfer problem,” Numerische Mathematik 84 (2000), pp. 375-393.
4. Y. Brenier, “Polar factorization and monotone rearrangement of vector-valued functions,” Com. Pure Appl. Math. 64 (1991), pp. 375-417.
5. G. E. Christensen, R. D. Rabbit, and M. I. Miller, “Deformable templates using large deformation kinematics,” IEEE Trans. of Medical Imag. 5 (1996) pp. 1435-1447.
6. M. Cullen and R. Purser, “An extended Lagrangian theory of semigeostrophic frontogenesis,” J. Atmos. Sci. 41 (1984), pp. 1477-1497.
7. C. Davatzikos, “Spatial transformation and registration of brain images using elastically deformable models,” Comp. Vis. and Image Understanding 66 (1997), pp. 207-222.
8. B. Dacorogna and J. Moser, “On a partial differential equation involving the Jacobian determinant,” Ann. Inst. H. Poincaré Anal. Non Linéaire, 7 (1990), pp. 1-26.
9. W. Gangbo, “An elementary proof of the polar factorization of vector-valued functions,” Arch. Rational Mechanics Anal. 128 (1994), pp. 381-399.
10. W. Gangbo and R. McCann, “The geometry of optimal transportation,” Acta Math. 177 (1996), pp. 113-161.
11. A. F. Goldszal, C. Davatzikos, D. L. Pham, M. X. H. Yan, R. N. Bryan, and S. M. Resnick, “An image processing protocol for qualitative and quantitative volumetric analysis of brain images”, J. Comp. Assist. Tomogr., 22 (1998) pp. 827-837.
12. S. Haker, S. Angenent, A. Tannenbaum, and R. Kikinis, “Nondistorting flattening maps and the 3D visualization of colon CT images,” IEEE Trans. of Medical Imag., July 2000.
13. S. Haker and A. Tannenbaum, “Optimal transport and image registration,” submitted to IEEE Trans. Image Processing, January 2001.
14. N. Hata, A. Nabavi, S. Warfield, W. Wells, R. Kikinis and F. Jolesz, “A volumetric optical flow method for measurement of brain deformation from intraoperative magnetic resonance images,” Proc. Second International Conference on Medical Image Computing and Computer-assisted Interventions (1999), pp. 928-935.
15. L. V. Kantorovich, “On a problem of Monge,” Uspekhi Mat. Nauk. 3 (1948), pp. 225-226.
16. H. Lester, S. R. Arridge, K. M. Jansons, L. Lemieux, J. V. Hajnal and A. Oatridge, “Non-linear registration with the variable viscosity fluid algorithm,” Information Processing in Medical Imaging (1999), pp. 238-251.
17. J. B. A. Maintz and M. A. Viergever, “A survey of medical image registration,” Medical Image Analysis 2 (1998), pp. 1-36.
18. J. Moser, “On the volume elements on a manifold,” Trans. Amer. Math. Soc. 120 (1965), pp. 286-294.
19. W. Press, S. Teukolsky, W. Vetterling and B. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd Edition, Cambridge University Press, Cambridge U.K., 1992.
20. S. Rachev and L. Rüschendorf, Mass Transportation Problems, Volumes I and II, Probability and Its Applications, Springer, New York, 1998.
21. A. Toga, Brain Warping, Academic Press, San Diego, 1999.