VISUALIZING NEURONAL STRUCTURES IN THE HUMAN BRAIN VIA DIFFUSION TENSOR MRI

REFERENCES

• Aldroubi A., Basser P. J. Reconstruction of vector and tensor fields from sampled discrete data. The functional and harmonic analysis of wavelets, contemporary mathematics, D. Larson, L. Baggett. American Mathematical Society, Providence, RI 1999; vol. 247: 1–15
   Google Scholar
• Bailey P., Cushing H. W. A classification of the tumors of the glioma group on a histogenetic basis with a correlated study of prognosis. J. B. Lippincott, Philadelphia, PA 1926
   Google Scholar
• Basser P. J., Pajevic S., Pierpaoli C., Duda J., Aldroubi A. In vivo fiber tractography using dt-mri data. Journal of Magnetic Resonance 2000; 44: 625–632, [CSA]
   Web of Science ®Google Scholar
• Bell A. J., Sejnowski T. J. Edges are the “independent components” of natural scenes. Advances in Neural Information Processing Systems. MIT Press, Cambridge, MA 1996; 9
   Google Scholar
• Benger W., Hege H -C. (2003) Analyzing curved spacetimes with tensor splats. Paper presented at the 10th Marcel Grossmann Meeting, Rio de Janeiro, July, 20–262003, http://www.zib.de/visual/publications/sources/MGX.pdf
   Google Scholar
• Benger W., Hege H -C. (2004) Tensor splats. Proceedings of SPIE, 5295 IS&T/SPIE Electronic Imaging Symposium, Conference on Visualization and Data Analysis, San Jose, CA, 2004, R. F. Erbacher, P. C. Chen, J. C. Roberts, M. Grohn, K. Borner. 151–162
   Google Scholar
• Neuropathology, C. L. Berry. Springer-Verlag, New York, NY 1988
   Google Scholar
• Bhalerao A., Westin C. -F. (2003) Tensor splats: Visualizing tensor fields by texture mapped volume rendering. In Sixth international conference on medical image computing and computer-assisted intervention (MICCAI'03), MontrealCanada, November, 2003, 294–901
   Google Scholar
• Bingham C. An antipodally symmetric distribution on the sphere. Annals of Statistics 1974; 2: 1201–1225, [CSA]
   Web of Science ®Google Scholar
• Bruehlmeier M., Roelcke U., Brauenstein P., Missimer J., Schubiger Locher P. A., Th J., Pellikka R., Ametamey S. M. Measurement of the extracellular space in brain tumors using 76br-bromide and PET. Journal of Nuclear Medicine 2003; 44: 1210–1218, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Ciric I., Ammirati M., Vick N., Mikhael M. Supratentorial gliomas: Surgical considerations and immediate postoperative results. Gross total resection versus partial resection. Neurosurgery 1987; 21: 21–26, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Crawfis R. A., Max N. L. Texture splats for 3d scalar and vector field visualization. IEEE Visualization 1993; 1993: 261–267, [CSA]
   Google Scholar
• Einstein A. Über die von der molekularkinetischen Theorie der wärme geforderte Bewegung von in ruhenden Flussigkeiten suspendierten Teilchen. Annals of Physics 1905; 17: 549–560, [CSA]
   Web of Science ®Google Scholar
• Einstein A. Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik 1916; 4: 284–339, [CSA]
   Google Scholar
• Field A. S., Alexander A. L., Wu Y. -C., Hasan K. M., Witwer B., Badie B. Diffusion tensor eigenvector directional color imaging patterns in the evaluation of cerebral white matter tracts altered by tumor. Journal of Magnetic Resonance Imaging 2004; 20, 2004[CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Gabor D. Theory of communication. Journal of the Institute for Electrical Engineers 1946; 72: 429–459, [CSA]
   Google Scholar
• Haber R B. Visualization techniques for engineering mechanics. Computer Systems in Engineering 1990; 1: 37–50, [CROSSREF], [CSA]
   Google Scholar
• Hornak J. P. Basics of MRI. Rochester Institute of Technology, Rochester, NY 2004, http://www.cis.rit.edu/htbooks/mri/
   Google Scholar
• Hubel D. H., Wiesel T. N. Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. Journal of Physiology (London) 1962; 160: 106–154, [CSA]
   PubMed Web of Science ®Google Scholar
• Jähne B. Practical handbook on image processing for scientific applications. CRC Press, Boca Raton, FL 1997
   Google Scholar
• Jones J. P., Palmer L. A. The two-dimensional spatial structure of simple receptive fields in cat striate cortex. Journal of Neurophysiology 1987; 58: 1187–1211, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Jupp P. E. Modifications of the Rayleigh and Bingham tests for uniformity of directions. Journal of Multivariate Analysis 2001; 77: 1–20, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Kindlmann G., Weinstein D. Hue-balls and lit-tensors for direct volume rendering of diffusion tensor fields. Visualization 1999; 99: 183–189, [CSA]
   Google Scholar
• Kindlmann G., Weinstein D., Hart D. Strategies for direct volume rendering of diffusion tensor fields. IEEE Transactions on Visualization and Computer Graphics 2000; 6: 124–138, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Kindlmann G. Superquadric tensor glyphs. Joint Eurographics—IEEE TVCG Symposium on Visualization (“VisSym”). 2004, 2004
   Google Scholar
• Kiwit J. C., Floeth F. W., Bock W. J. Survival in malignant glioma: Analysis of prognostic factors with special regard to cytoreductive surgery. Zentralblatt fur Neurochirurgie 1996; 57: 76–88, [PUBMED], [INFOTRIEVE], [CSA]
   PubMedGoogle Scholar
• Kleihues P., Burger P. C., Scheithauer B. W. The new WHO classification of brain tumors. Brain Pathology 1993; 3: 255–268, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Laidlaw D. H., Ahrens E. T., Kremers D., Avalos M. J., Jacobs R. E., Readhead C. (1998) Visualizing diffusion tensor images of the mouse spinal cord. June, 1998, 127–134
   Google Scholar
• Le Bihan D., Breton E., Lallemand D., Grenier P., Cabanis E., Laval-Jeantet M. MR imaging of intravoxel incoherent motions: Application to diffusion and perfusion in neurologic disorders. Radiology 1986; 161: 401–407, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Le Bihan D., Breton E., Lallemand D., Aubin M. L., Vignaud J., Laval-Jeantet M. Separation of diffusion and perfusion in intravoxel incoherent motion MR imaging. Radiology 1988; 168: 497–505, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Lehmann T., Gönner C., Spitzer K. Survey: Interpolation methods in medical image processing. IEEE Transactions on Medical Imaging 1999; 18: 1049–1075, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Lehmann T., Gönner C., Spitzer K. Addendum: Spline interpolation in medical image processing. IEEE Transactions on Medical Imaging 2001; 20: 660–665, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Lysaker M., Lundervold A., Tai X. Noise removal using fourth-order partial differential equations with applications to medical magnetic resonance images in space and time. IEEE Transaction on Image Processing 2003; 12: 1579–1590, [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Mardia K. V., Jupp P. E. Directional statistics. Wiley series in probability and statistics. Wiley, New York 2000
   Google Scholar
• Meijering E. A chronology of interpolation: From ancient astronomy to modern signal and image processing. Proceedings of the IEEE 2002; 90: 319–342, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Moakher M., Batchelor P. G. Symmetric positive definite matrices: From geometry to applications and visualization. Visualization and Image Processing of Tensor Fields, J. Weickert, H. Hagen. Springer, Berlin, Heidelberg, New York 2006
   Google Scholar
• Mojsilovic A., Kovacevic J., Safranek R. J., Hu J., Ganapathy K. Matching and retrieval based on the vocabulary and grammar of color patterns. IEEE Trans. on Image Processing 2000; 9 38–54, [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• O'Donnell L., Haker S., Westin C. -F. New approaches to estimation of white matter connectivity in diffusion tensor MRI: Elliptic PDEs and geodesics in a tensor-warped space. In Fifth international conference on medical image computing and computer-assisted intervention (MICCAI'02) Tokyo, Japan 2002; 2002: 459–466, [CSA]
   Google Scholar
• Osher S., Sole A., Vese L. Image decomposition and restoration using total variation minimization and the H-1 norm. SIAM Journal on Multiscale Modeling and Simulation 2003; 1 349–370, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Özarslan E., Mareci T. H. Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging. Magnetic Resonance in Medicine 2003; 50 955–965, [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Pajevic S., Aldroubi A., Basser P. A continuous tensor field approximation of discrete DT-MRI data for extracting microstructural and architectural features of tissue. Journal of Magnetic Resonance 2002; 154 85–100, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Pajevic S., Aldroubi A., Basser P. J. Continuous tensor field approximation of diffusion tensor MRI data. Visualization and image processing of tensor fields, J. Weickert, H. Hagen. Springer, BerlinGermany 2005
   Google Scholar
• Poirson A., Wandell B. Pattern-color separable pathways predict sensitivity to simple colored pattern. Vision Research 1996; 36 515–526, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Price S. J., Pena A., Burnet N. G., Jena R., Green H. A., Carpenter T. A., Pickard J. D., Gillard J. H. Tissue signature characterisation of diffusion tensor abnormalities in cerebral gliomas. European Radiology 2004; 14 1909–1917, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Seer Cancer Statistics Review, L. A. G. Ries, M. P. Eisner, C. L. Kosary, B. F. Hankey, B. A. Miller, L. Clegg, B. K. Edwards. National Cancer Institute, Bethesda, MD 2002; 1973–1999
   Google Scholar
• Rudin L., Osher S., Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D 1992; 60 259–268, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Scerrati M., Roselli R., Iacoangeli M., Pompucci A., Rossi G. F. Prognostic factors in low grade (WHO grade II) gliomas of the cerebral hemi-spheres: The role of surgery. Journal of Neurology, Neurosurgery, and Psychiatry 1996; 61 291–296, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Schutz B. F. Gravity from the ground up. Cambridge University Press, New York 2003
   Google Scholar
• Stejskal E. O., Tanner J. E. Spin diffusion measurements: Spin echoes in the presence of a time dependent field gradient. The Journal of Chemical Physics 1965; 42: 288–292, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Tuch D. S., Weisskoff R. M., Belliveau J. W., Wedeen V. J. (1999) High angular resolution diffusion imaging of the human brain. Proceedings of the 7th Annual Meeting of ISMRM, Philadelphia, PA, 24 May to 28 May, 1999, 321
   Google Scholar
• Unser M., Aldroubi A., Eden M. Polynomial spline signal approximations: Filter design and asymptotic equivalence with Shannons sampling theorem. IEEE Transactions on Information Theory 1992; 38 95–103, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Unser M., Aldroubi A., Eden M. B-spline signal processing: Part I theory. IEEE Transactions on Signal Processing 1993a; 41: 821–833, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Unser M., Aldroubi A., Eden M. B-spline signal processing: Part II efficient design and applications. IEEE Transactions on Signal Processing 1993b; 41: 834–848, [CROSSREF], [CSA]
   Web of Science ®Google Scholar
• Vargova L., Homola A., Zamecnik J., Tichy M., Benes V., Sykova E. Diffusion parameters of the extracellular space in human gliomas. Glia 2003; 42 77–88, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Wandell B. Color appearance: The effects of illumination and spatial pattern. Proceedings of the National Academy of Science of the USA 1993; 10: 2458–2470, [CSA]
   Google Scholar
• Watson A. B., Turano K. The optimal motion stimulus. Vision research 1995; 35: 325–336, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Watson A. B., Turano K. The optimal motion stimulus. Vision research 1995; 35 325–336, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Weickert J. Tensor field interpolation with PDEs. Visualization and image processing of tensor fields, J. Weickert, H. Hagen. Springer, New York 2006
   Google Scholar
• Weinstein D., Kindlmann G., Lundberg E. Tensorlines: advection-diffusion based propagation through diffusion tensor fields. Proceedings of Visualization '99. IEEE Computer Society Press, Los Alamitos, CA 1999; 249–253
   Google Scholar
• Westin C. F., Peled S., Gudbjartsson H., Kikinis R., Jolesz F. A. Geometrical diffusion measures for MRI from tensor basis analysis. Proceedings of ISMRM, Fifth Meeting, VancouverCanada, 1997; 1742
   Google Scholar
• Westin C. F., Maier S. E., Mamata H., Nabavi A., Jolesz F. A., Kikinis R. Processing and visualization for diffusion tensor MRI. Medical Image Analysis 2002; 6 93–108, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Westover L. Footprint evaluation for volume rendering. SIGGRAPH'90: Proceedings of the 17th annual conference on computer graphics and interactive techniques, Dallas TXUSA. ACM Press, New York 1990; 367–376
   Google Scholar
• Wiegell M. R., Larsson H. B., Wedeen V. J. Fiber crossing in human brain depicted with diffusion tensor MR imaging. Radiology 2000; 217 897–903, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Witwer B. P., Moftakhar R., Hasan K. M., Deshmukh P., Haughton V., Field A., Arfanakis K., Noyes J., Moritz C. H., Meyerand M. E., Rowley H. A., Alexander A. L., Badie B. Diffusion-tensor imaging of white matter tracts in patients with cerebral neoplasm. Journal of Neurosurgery 2002; 97 568–575, [PUBMED], [INFOTRIEVE], [CSA]
   PubMed Web of Science ®Google Scholar
• Wu Y. C., Field A. S., Chung M. K., Badie B., Alexander A. L. Quantitative analysis of diffusion tensor orientation: Theoretical framework. Magnetic Resonance in Medicine 2004; 52 1146–1155, [PUBMED], [INFOTRIEVE], [CROSSREF], [CSA]
   PubMed Web of Science ®Google Scholar
• Year 2001 Annual Statistics Report. Brain tumors in the United States 1992– 1997. 2001, World Wide Web: http://www.cbtrus.org/2001/2001stats report.htm
   Google Scholar
• Zheng X., Pang A. Topological lines in 3d tensor fields. Proceedings of Visualization 2004. IEEE Computer Society Press, Los Alamitos, CA 2004
   Google Scholar