Digital homeomorphisms in deformable registration

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

Volumn 4584 LNCS, Issue , 2007, Pages 211-222

  Bazin, Pierre Louis ^a   Ellingsen, Lotta Maria ^a   Pham, Dzung L ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; IMAGE SEGMENTATION; MEDICAL IMAGING; PROBLEM SOLVING;

ATLAS-BASED SEGMENTATION; DISCRETE GRID; HOMEOMORPHISMS;

IMAGE REGISTRATION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BRAIN; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; HISTOLOGY; HUMAN; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BRAIN; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MAGNETIC RESONANCE IMAGING; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SUBTRACTION TECHNIQUE;

EID: 34548395917     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73273-0_18     Document Type: Conference Paper

References (31)

1. Grenander, U., Miller, M.I.: Computational anatomy: an emerging discipline. Q. Appl. Math. LVI(4), 617-694 (1998)
2. Thompson, P.M., Toga, A.W.: A framework for computational anatomy. Computing and Visualization in Science 5, 1-12 (2002)
3. Resnick, S.M., Pham, D.L., Kraut, M.A., Zonderman, A.B., Davatzikos, C.: Longitudinal MRI studies of older adults: A shrinking brain. J. Neuroscience 23(8), 3295-3301 (2003)
4. Thompson, P., Hayashi, K., Sowell, E., Gogtay, N., Giedd, J., Rapoport, J., de Zubicaray, G., Janke, A., Rose, S., Semple, J., Doddrell, D., Wang, Y., van Erp, T., Cannon, T., Toga, A.: Mapping cortical change in Alzheimer's disease, brain development, and schizophrenia. Neurolmage, Special Issue on Mathematics in Brain Imaging (2004)
5. Gerig, G., Joshi, S., Fletcher, T., Gorczowski, K., Xu, S., Pizer, S., Styner, M.: Statistics of populations of images and its embedded objects: Driving applications in neuroimaging. In: Proc. IEEE Int. Symp. Biomedical Imaging, Arlington 2006 (2006)
6. Christensen, G.E.: Deformable shape models for anatomy. Electrical Engineering D.Sc. Dissertation, Washington University, St. Louis, Missouri (1994)
7. Christensen, G.E., Joshi, S.C., Miller, M.I.: Volumetric transformation of brain anatomy. IEEE Trans. Medical Imaging 16(6), 864-877 (1997)
8. Christensen, G.E., Johnson, H.J.: Consistent image registration. IEEE Trans. Medical Imaging 20(7), 568-582 (2001)
9. Rohde, G.K., Aldroubi, A., Dawant, B.M.: The adaptive bases algorithm for intensity-based nonrigid image registration. IEEE Trans. Medical Imaging 22(11), 1470-1479 (2003)
10. Avants, B.B., Gee, J.C.: Shape averaging with diffeomorphic flows for atlas creation. In: Proc. IEEE Int. Symp. Biomedical Imaging, pp. 595-598 (2004)
11. Narayanan, R., Fessier, J.A., Park, H., Meyer, C.H.: Diffeomorphic nonlinear transformations: a local parametric approach for image registration. In: Proc. Int. Conf. Information Processing in Medical Imaging, Glenwood Springs 2005 (2005)
12. Noblet, V., Heinrich, C., Heitz, E., Armspach, J.-P.: 3D deformable image registration: a topology preservation scheme based on hierarchical deformation models and interval analysis optimization. IEEE Trans. Image Processing 14(5), 553-566 (2005)
13. Rueckert, D., Sonoda, L., Hayes, C., Hill, D., Leach, M., Hawkes, D.: Non-rigid registration using free-form deformations: Application to breast MR images. IEEE Trans. Medical Imaging 18,712-721 (1999)
14. Shen, D., Davatzikos, C.: Hammer: Hierarchical attribute matching mechanism for elastic registration. IEEE Trans. Medical Imaging 21(11) (2002)
15. Vemuri, B.C., Ye, J., Chen, Y., Leonard, C.M.: Image registration via level-set motion: Applications to atlas-based segmentation. Medical Image Analysis 20(1), 1-20 (2003)
16. Kybic, J., Unser, M.: Fast parametric elastic image registration. IEEE Trans. Image Processing 12(11), 1427-1442 (2003)
17. Kong, T.Y., Rosenfeld, A.: Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing 48(3), 357-393 (1989)
18. Bertrand, G., Couprie, M.: A model for digital topology. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol. 1568, pp. 229-241. Springer, Heidelberg (1999)
19. Henle, M.: A Combinatorial Introduction to topology. W.H. Freeman and Company (1979)
20. Sethian, J.: Level Set Methods and Fast Marching Methods. Cambridge University Press, Cambridge (1999)
21. Lorensen, W.E., Cline, H.E.: Marching cubes: A high resolution 3D surface construction algorithm. In: Proc. SIGGRAPH'87 1987, vol. 21, pp. 163-169 (1987)
22. O'Neill, B.: Elementary Differential Geometry. Academic Press, San Diego (1997)
23. Han, X., Xu, C., Prince, J.L.: A topology preserving level set method for geometric deformable models. IEEE Trans. Pattern Analysis and Machine Intelligence 25(6), 755-768 (2003)
24. Malandain, G., Bertrand, G., Ayache, N.: Topological segmentation of discrete surfaces. Int. J. Computer Vision 10(2), 183-197 (1993)
25. Bertrand, G.: Simple points, topological numbers and geodesic neighborhood in cubic grids. Pattern Recognition Letters 15(10), 1003-1011 (1994)
26. Couprie, M., Bezerra, F., Bertrand, G.: Topological operators for grayscale image processing. J. Electronic Imaging 10(4), 1003-1015 (2001)
27. Mangin, J.F., Frouin, V., Bloch, I., Régis, J., López-Krahe, J.: From 3D magnetic resonance images to structural representations of the cortex topography using topology preserving deformations. J. Mathematical Imaging and Vision 5, 297-318 (1995)
28. Worth, A.: Internet brain seg mentation repository. (1996) http ://www.cma.mgh.harvard.edu/ibsr/
29. Bazin, P.L., Pham, D.: Topology-preserving tissue classification of magnetic resonance brain images. In: IEEE Trans. Medical Imaging, Special Issue on Computational Neuroanatomy (in press) (2007)
30. Ellingsen, L.M., Prince, J.L.: Mjolnir: Deformable image registration using feature diffusion. In: Proc. SPIE Medical Imaging Conf., San Diego (2006)
31. Bai, Y., Prince, J.L.: Octree-based topology-preserving isosurface simplification. In: Proc. IEEE Int. Conf. Computer Vision and Pattern Recognition (CVPR'06), New York 2006 (2006)