ABSTRACT
The paper demonstrates accurate, anatomically correct 3D visualization of left and right ventricles of the human heart from tagged magnetic resonance imaging data. Tagged MRI reveals 3D structural and motion information that is incorporated into the visualized models. We use Non-Uniform Rational B-Splines (NURBS) for our purpose, that allow non-uniform knot specification and weight specification of control points, an advantage over traditional uniform B-Splines. NURBS algorithms are numerically stable and fast. The myocardial models serve the purpose of (i) accurate visualization of tag planes and myocardial walls, (ii)checking tag tracking accuracy and registration errors, (iii)providing framework for 4D visualization and motion analysis, and (iv)obtaining accurate, memory efficient and compactly supported models of the heart in anatomical dimensions. We obtain excellent results on normal as well as pathological patient datasets.
- L. Axel and L. Dougherty. MR imaging of motion with spatial modulation of magnetization. Radiology, 171(3):841--45, August 1989.Google ScholarCross Ref
- J. Cauvin, J. Boire, M. Zanca, J. Bonny, J. Maublant, and A. Veyre. 3D modeling in myocardial 201tl SPECT. Comput. Med. Imag. Graph., 17(4--5):345--350, 1993.Google Scholar
- C. deBoor. A Practical Guide to Splines. Springer-Verlag, 1978.Google Scholar
- T. Denney. Estimation and detection of myocardial tags in MR image without user-defined myocardial contours. IEEE Transactions on Medical Imaging, 18(4):330--334, 1999.Google ScholarCross Ref
- J. Duncan, P. Shi, T. Constable, and A. Sinusas. Physical and geometrical modeling for image-based recovery of left ventricular deformation. Progress in Biophysics and Molecular Biology, 69(2--3):333--351, 1998.Google Scholar
- E. Haber, D. Metaxas, and L. Axel. Three-dimensional geometric modeling of cardiac right and left ventricles. In The Biomedical Engineering Society Annual Meeting, San Diego.Google Scholar
- M. Kuwahara and S. Eiho. 3-D heart image reconstruction from MRI data. Computerized Medical Imaging and Graphics, 15(4):241--246, 1991.Google ScholarCross Ref
- J. Maehle, K. Bjoernstad, S. Aakhus, H. Torp, and B. Angelsen. Three-dimensional echocardiography for quantitative left ventricular wall motion analysis: A method for reconstruction of endocardial surface and evaluation of regional dysfunction. Echocardiography, 11(4):397--408, 1994.Google ScholarCross Ref
- D. Metaxas and D. Terzopoulos. Shape and nonrigid motion estimation through physiscs-based synthesis. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15(6):580, 1993. Google ScholarDigital Library
- L. Piegl and W. Tiller. The NURBS Book. Springer-Verlag, 1997. Google ScholarDigital Library
- P. Radeva, A. Amini, and J. Huang. Deformable b-solids and implicit snakes for 3-D localization and tracking of SPAMM-MRI data. Computer Vision and Image Understanding, 66(2):163--178, 1997. Google ScholarDigital Library
- P. Shi, A. Sinusas, R. Constable, E. Ritman, and J. Duncan. Point-tracked quantitative analysis of left ventricle surface from 3d image sequences: Algorithms and validation. IEEE Transactions of Medical Imaging, 19(1):36--50, 2000.Google ScholarCross Ref
- N. Tustison and A. Amini. Biventricular myocardial strains via nonrigid registration of anatomical models. IEEE Transactions on Medical Imaging, 25(1):94--112, 2006.Google ScholarCross Ref
- A. Veress, W. Segars, B. Tsui, J. Weiss, and G. Gullberg. Normal and pathological NCAT image and phantom data based on physiologically realistic left ventricle finite element models. IEEE Transactions on Medical Imaging, 25(12):1604--16, December 2006.Google ScholarCross Ref
- E. Zerhouni, D. Parish, W. Rogers, A. Yang, and E. Shapiro. Human heart: Tagging with MR imaging - a method for noninvasive assessment of myocardial motion. Radiology, 169(1):59--63, October 1988.Google ScholarCross Ref
Index Terms
- 3D visualization of cardiac tagged magnetic resonance image data using Non-Uniform Rational B-Splines (NURBS)
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