3D brain surface matching based on geodesics and local geometry

Computer Vision and Image Understanding

Volumn 89, Issue 2-3, 2003, Pages 252-271

  Wang, Yongmei ^a   Peterson, Bradley S ^b   Staib, Lawrence H ^a  

^a YALE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

Correspondence; Corresponding points; Geodesics; Geometrical features; Shape; Shortest paths; Surface matching; Triangulation

Indexed keywords

ALGORITHMS; BRAIN; CALCULATIONS; EVALUATION; FINITE ELEMENT METHOD; GEOMETRY; INTERPOLATION; PATTERN MATCHING; THREE DIMENSIONAL; TRIANGULATION;

GEODESICS; SURFACE CORRESPONDENCE; SURFACE MATCHING;

IMAGE UNDERSTANDING;

EID: 0042529186     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1077-3142(03)00015-8     Document Type: Article

References (46)

1. P.J. Besl, N.D. McKay, A method for registration of 3-D shapes, IEEE Transactions on Pattern Analysis and Machine Intelligence 14 (2) (1992) 239-256.
2. F.L. Bookstein, Landmark methods for forms without landmarks: morphometrics of group differences in outline shape, Medical Image Analysis 1 (3) (1997) 225-243.
3. A.D. Brett, A. Hill, C.J. Taylor, A method of 3D surface correspondence and interpolation for merging shape examples, Image and Vision Computing 17 (8) (1999) 635-642.
4. M.P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, (1976).
5. A. Caunce, C.J. Taylor, Using local geometry to build 3D sulcal models, in: Information Processing in Medical Imaging, LNCS 1613, Springer, Berlin, 1999, pp. 196-209.
6. G.E. Christensen, R.D. Rabbitt, M.I. Miller, Deformable templates using large deformation kinematics, IEEE Transactions on Image Processing 5 (10) (1996) 1435-1447.
7. C. Davatzikos, Spatial transformation and registration of brain images using elastically deformable models. Computer Vision and Image Understanding 66 (2) (1997) 207-222.
8. J.S. Duncan, R.L. Owen, L.H. Staib, P. Anandan, Measurement of non-rigid motion in images using contour Shape descriptors, in: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 1991, pp. 318-324.
9. J. Feldmar, G. Malandain, J. Declerck, N. Ayache, Extension of the ICP algorithm to non-rigid intensity-based registration of 3D volumes, in: Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, 1996, pp. 84-93.
10. M. Fleute, S. Lavallée, Building a complete surface model from sparse data using statistical shape models: application to computer assisted knee surgery, in: First International Conference on Medical Image Computing and Computer-Assisted Intervention, LNCS 1496, Springer, Berlin, 1998, pp. 879-887.
11. J.C. Gee, C. Barillot, L.L. Briquer, D.R. Haynor, R. Bajcsy, Matching structural images of the human brain using statistical and geometrical image features, in: Proceedings of SPIE Visualization in Biomedical Computing 1994, 2359, 1994, pp. 191-204.
12. D.B. Goldgof, H. Lee, T.S. Huang, Motion analysis of non-rigid surfaces, in: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 1988, pp. 375-380.
13. L.D. Griffin, The intrinsic geometry of the cerebral cortex, Journal of Theoretical Biology 166 (3) (1994) 261-273.
14. R.C. Gur, P.D. Mozley, S.M. Resnick, et al., Gender differences in age effect on brain atrophy measured by magnetic resonance imaging, in: Proceedings of National Academy of Sciences, 88, 1992, pp. 2845-2849.
15. R.C. Gur, B.I. Turetsky, M. Matsui, M. Yan, W. Bilker, P. Hughett, R.E. Gur, Sex differences in brain gray and white matter in healthy young adults: correlations with cognitive performance, Journal of Neuroscience 19 (10) (1999) 4065-4072.
16. H.J. Jiang, R.A. Robb, K.S. Holton, A new approach to 3-D registration of multimodality medical images by surface matching, in: Visualization in Biomedical Computing 1992, Proceedings of SPIE 1808, 1992, pp. 196-213.
17. N. Khaneja, M.I. Miller, U. Grenander, Dynamic programming generation of curves on brain surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence 20 (11) (1998) 1260-1265.
18. R. Kimmel, A. Amir, A.M. Bruckstein, Finding shortest paths on surfaces using level sets propagation, IEEE Transactions on Pattern Analysis and Machine Intelligence 17 (6) (1995) 635-640.
19. R. Kimmel, N. Kiryati, Finding shortest paths on surfaces by fast global approximation and precise local refinement, International Journal of Pattern Recognition and Artificial Intelligence 10 (6) (1996) 634-656.
20. R. Kimmel, J.A. Sethian, Computing geodesic paths on manifolds, Proceedings of National Academy of Sciences 95 (15) (1998) 8431-8435.
21. J.J. Koenderink, A.J. van Doorn, Surface shape and curvature scales, Image and Vision Computing 10 (8) (1992) 557-565.
22. W.E. Lorensen, H.E. Cline, Marching cubes: a high resolution 3D surface construction algorithm, Computer Graphics 21 (4) (1987) 163-169.
23. J. McEachen, J.S. Duncan, Shape-based tracking of left ventricular wall motion, IEEE Transactions on Medical Imaging 16 (3) (1997) 270-283.
24. P. Nopoulos, M. Flaum, D. O'Leary, N.C. Andreasen, Sexual dimorphism in the human brain: evaluation of tissue volume, tissue composition and surface anatomy using magnetic resonance imaging, Psychiatry Research: Neuroimaging 98 (1) (2000) 1-13.
25. B.S. Peterson, B. Vohr, L.H. Staib, C. Cannistraci, A. Dolberg, K.A. Schneider, K.H. Katz, M. Westerveld, S. Sparrow, A. Anderson, C. Duncan, R.W. Makuch, J.C. Gore, L.R. Ment, Regional brain volume abnormalities are associated with long-term cognitive outcome in preterm infants, J. Am. Med. Assoc. 284 (2000) 1939-1947.
26. K. Polthier, M. Schmies, Straightest geodesics on polyhedral surfaces, in: H.C. Hege, K. Polthier (Eds.), Mathematical Visualization, Springer Verlag, Berlin, 1998, p. 391.
27. A. Rangarajan, H. Chui, F.L. Bookstein, The softassign Procrustes matching algorithm, in: Information Processing in Medical Imaging, LNCS 1230, Springer, Berlin, 1997, pp. 29-42.
28. L. Regeur, Increasing loss of brain tissue with increasing dementia: a stereological study of postmortem brains from elderly females, European Journal of Neurology 7 (1) (2000) 47-54.
29. M.E. Rettmann, X. Han, J.L. Prince, Watersheds on the cortical surface for automated sulcal segmentation, in: Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, 2000, pp. 20-27.
30. B.M. ter Haar Romeny, L.M.J. Florack, A.H. Salden, M.A. Viergever, Higher order differential structure of images, Image and Vision Computing 12 (6) (1994) 317-325.
31. R.T. Schultz, N.K. Cho, L.H. Staib, L.E. Kier, J.M. Fletcher, S.E. Shaywitz, D.P. Shankweiler, J.C. Gore, J.S. Duncan, B.A. Shaywitz, Brain morphology in normal and dyslexic children: the influence of sex and age, Ann. Neurol. 35 (6) (1994) 732-742.
32. E.L. Schwartz, A. Shaw, E. Wolfson, A numerical solution to the generalized mapmaker's problem: flattening nonconvex polyhedral surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence 11 (9) (1989) 1005-1008.
33. J.A. Sethian, A fast marching level set method for monotonically advancing fronts, Proceedings of the National Academy of Sciences 93 (4) (1996) 1591-1595.
34. J.A. Sethian, Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision and Materials Science, Cambridge University Press, Cambridge, 1996.
35. D. Shen, C. Davatzikos, HAMMER: hierarchical attribute matching mechanism for elastic registration, in: Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, 2001, pp. 20-36.
36. P. Shi, G. Robinson, A. Chakraborty, L.H. Staib, R. Constable, A. Sinusas, J.S. Duncan, A unified framework to assess myocardial function from 4D images, in: Computer Vision, Virtual Reality, and Robotics in Medicine, LNCS, vol. 905, Springer, Berlin, 1995, pp. 327-340.
37. W.G. Staal, H.E. Hulshoff Pol, H.G. Schnack, M.L. Hoogendoorn, K. Jellema, R.S. Kahn, Structural brain abnormalities in patients with schizophrenia and their healthy siblings, American Journal of Psychiatry 157 (3) (2000) 416-421.
38. H. Tagare, Shape-based non-rigid correspondence with applications to heart motion analysis, IEEE Transactions on Medical Imaging 18 (7) (1999) 570-579.
39. P.M. Thompson, A.W. Toga, A surface-based technique for warping three-dimensional image of the brain, IEEE Transactions on Medical Imaging 15 (4) (1996) 402-417.
40. P.M. Thompson, R.P. Woods, M.S. Mega, A.W. Toga, Mathematical/computational challenges in creating deformable and probabilistic atlases of the human brain, Human Brain Mapping 9 (2) (2000) 81-92.
41. M. Vaillant, C. Davatzikos, Hierarchical matching of cortical features for deformable brain image registration, In: M. Šámal, A. Kuba, A. Todd-Pokropek (Eds.), Information Processing in Medical Imaging, LNCS, vol. 1613, Springer, Berlin, 1999, pp. 182-195.
42. M. Vythilingam, E. Anderson, A. Goddard, S. Woods, L.H. Staib, D.S. Charney, J.D. Bremmer, Temporal lobe volume in panic disorder: a quantitative magnetic resonance imaging study, Psychiatry Research: Neuroimaging 99 (2) (2000) 75-82.
43. E. Wolfson, E.L. Schwartz, Computing minimal distances on polyhedral surfaces, IEEE Transactions on Pattern Analysis and Machine Intelligence 11 (9) (1989) 1001-1005.
44. Y. Wang, B.S. Peterson, L.H. Staib, Shape-based 3D surface correspondence using geodesics and local geometry, in: Proc. IEEE Conf. on Computer Vision and Pattern Recognition, vol. II, 2000, pp. 644-651.
45. X. Zeng, L.H. Staib, R.T. Schultz, J.S. Duncan, Segmentation and measurement of the cortical from 3D MR images, in: First International Conference on Medical Image Computing and Computer-Assisted Intervention, LNCS, vol. 1496, Springer, Berlin, 1998, pp. 519-530.
46. X. Zeng, L.H. Staib, R.T. Schultz, J.S. Duncan, A new approach to 3D sulcal ribbon finding from MR images, in: Second International Conference on Medical Image Computing and Computer-Assisted Intervention, LNCS, vol. 1679, Springer, Berlin, 1999, pp. 148-157.