A hybrid Eulerian-Lagrangian approach for thickness, correspondence, and gridding of annular tissues

IEEE Transactions on Image Processing

Volumn 16, Issue 3, 2007, Pages 636-648

  Rocha, Kelvin R ^a   Yezzi Jr , Anthony J ^a   Prince, Jerry L ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b Johns Hopkins University   (United States)

Author keywords

Correspondence; Correspondence trajectory; Partial differential equations (PDEs); Thickness

Indexed keywords

EULER EQUATIONS; LAGRANGE MULTIPLIERS; LAPLACE EQUATION; TISSUE;

CORRESPONDENCE TRAJECTORY; HARMONIC FUNCTION;

IMAGE PROCESSING;

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

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

EID: 33947281475     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.891072     Document Type: Article

References (27)

1. D. MacDonald, N. Kabani, D. Avis, and A. C. Evans, "Automated 3-D extraction of inner and outer surfaces of cerebral cortex from MRI," NeuroImage, vol. 12, pp. 340-356, 2000.
2. C. Henery and T. Mayhew, "The cerebrum and cerebellum of the fixed human brain: Efficient and unbiased estimates of volumes and cortical surface areas," J. Anat., vol. 167, pp. 167-180, 1989.
3. G. Paxinos, The Human Nervous System. San Diego, CA: Academic, 1990.
4. C. Von Economo and G. Koskinas, Die cytoarchitektonik der himrinde des erwachsenen. Berlin, Germany: Springer, 1925.
5. J. Park, D. Metaxas, and L. Axel, "Analysis of left ventricular wall motion based on volumetric deformable models and MRI-SPAMM," Med. Image Anal., vol. 1, no. 1, pp. 53-71, 1996.
6. A. H. Aletras, R. S. Balaban, and H. Wen, "High-resolution strain analysis of the human heart," J. Magn. Res., vol. 140, pp. 41-57, 1999.
7. J. Lef et al., "Morphometric analysis of temporal lobe in temporal lobe epilepsy," Epilepsia, vol. 7, pp. 727-736, 1998.
8. K. Double et al., "Topography of brain atrophy during normal aging and Alzheimer's disease," Neurobiol. Aging, vol. 17, pp. 513-521, 1996.
9. Y. Grignon, C. Duyckaerts, M. Bennecib, and J. Hauw, "Cytoarchitectonic alterations in the supramarginal gyrus of late onset Alzheimer's disease," Acta Neuropathol., vol. 4, pp. 395-406, 1998.
10. J. L. Tanabe et al., "Tissue segmentation of the brain in Alzheimer disease," Amer. J. Neurocardiol., vol. 18, pp. 115-123, 1997.
11. B. Fischl and A. M. Dale, "Measuring the thickness of the human cerebral cortex from magnetic resonance images," Proc. Nat. Acad. Sci., vol. 97, no. 20, pp. 1050-1055, 2000.
12. E. Lambe, D. Katzman, D. Mikulis, S. Kennedy, and R. Zipursky, "Cerebral gray matter volume deficits after weight recovery from anorexia nervosa," Ach. Gen. Psychiat., vol. 54, pp. 537-542, 1997.
13. M. E. DeBakey and A. M. Gotto, Jr., The New Living Heart. Holbrook, MA: Adams Media, 1997.
14. S. Pizer, D. Eberly, D. Fritsch, and B. Morse, "Zoom-invariant vision of figural shape: The mathematics of cores," Comput. Vis. Image Understand., vol. 69, no. 1, pp. 55-71, 1998.
15. N. R. Clark et al., "Circumferential myocardial shortening in the normal human left ventricle," Circ., vol. 84, pp. 67-74, 1991.
16. S. E. Jones, B. R. Buchbinder, and I. Aharon, "Three-dimensional mapping of the cortical thickness using Laplace's equation," Human Brain Map., vol. 11, pp. 12-32, 2000.
17. A. J. Yezzi, Jr. and J. L. Prince, "An Eulerian PDE approach for computing tissue thickness," IEEE Trans. Med. Imag., vol. 22, no. 10, pp. 1332-1339, Oct. 2003.
18. A. Yezzi and J. L. Prince, "A PDE approach for thickness, correspondence, and gridding of annular tissues," presented at the Eur. Conf. Comput. Vision, Copenhagen, Denmark, 2002.
19. M. I. Miller, A. B. Massie, J. T. Ratnanather, K. N. Botteron, and J. G. Csemansky, "Bayesian construction of geometrically based cortical thickness metrics," NeuroImage, vol. 12, pp. 676-687, 2000.
20. J. C. McEachen, II and J. S. Duncan, "Shape-based tracking of left ventricular wall motion," IEEE Trans. Med. Imag., vol. 16, no. 3, pp. 270-283, Mar. 1997.
21. H. D. Tagare, "Deformable 2-D template matching using orthogonal curves," IEEE Trans. Med. Imag., vol. 16, no. 2, pp. 108-117, Feb. 1997.
22. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes: The Art of Scientific Computing. Cambridge, U.K.: Cambridge Univ. Press, 1988.
23. Y. Saad, Iterative Methods for Sparse Linear Systems. New York: PWS, 1996.
24. W. Briggs, A Multigrid Tutorial. Philadelphia, PA: SIAM, 1987.
25. J. Sethian, Level Set Methods: Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision, and Material Science. Cambridge, U.K.: Cambridge Univ. Press, 1996.
26. J. Tsitsiklis, "Efficient algorithms for globally optimal trajectories," IEEE Trans. Automat. Contr., vol. 40, no. 9, pp. 1528-1538, Sep. 1995.
27. A. Duci, A. Yezzi, S. K. Mitter, and S. Soatto, "Shape representation via harmonic embedding," in Proc. Intl. Conf. Comput. Vis., Oct. 2003, vol. 1, pp. 656-663.