|
ABSTRACT
Computer Tomography (CT) and in particular super fast, 64 and 256 detector CT has rapidly advanced over recent years, such that high resolution cardiac imaging has become a reality. In this paper, we briefly introduce a framework that we have built to construct three dimensional (3D) finite-element and boundary element mesh models of the human heart directly from high resolution CT imaging data. Although, the overall IMAGING-MODELING framework consists of image processing, geometry processing and meshing algorithms, our main focus in this paper will revolve around three key geometry processing steps which are parts of the so-called IMAGING-MODELING framework. These three steps are geometry cleanup or CURATION, anatomy guided annotation or SEGMENTATION and construction of GENERALIZED OFFSET SURFACE. These three algorithms, due to the very nature of the computation involved, can also be thought as parts of a more generalized modeling technique, namely geometric modeling with distance function. As part of the results presented in the paper, we will show that our algorithms are robust enough to effectively deal with the challenges posed by the real-world patient CT data collected from our radiologist collaborators.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
|
| |
2
|
Bajaj, C., and Goswami, S. 2006. Automatic fold and structural motif elucidation from 3d em maps of macromolecules. In ICVGIP 2006, 264--275.
|
| |
3
|
|
 |
4
|
|
| |
5
|
Bajaj, C., Goswami, S., Yu, Z., Zhang, Y., Bazilevs, Y., and Hughes, T. 2006. Patient specific heart models from high resolution ct. In Proceedings of Computational Modelling of Objects Represented in Images, CompIMAGE, 157--165.
|
| |
6
|
Bajaj, C., Gillette, A., and Goswami, S. 2007. Topology based selection and curation of level sets. In Topology-in-Visualization, A. Wiebel, H. Hege, K. Polthier, and G. Scheuer-mann, Eds.
|
| |
7
|
|
| |
8
|
|
| |
9
|
|
| |
10
|
Cgal Consortium. 2007. CGAL (3.3.1): Computational Geometry Algorithms Library. http://www.cgal.org.
|
| |
11
|
|
 |
12
|
|
| |
13
|
Chen, Y. J., and Ravani, B. 1987. Offset surface generation and contouring in computer-aided design. Journal of Mech. Trans. Autom. Design 109, 1, 133--142.
|
| |
14
|
Costa, K. D., Hunter, P. J., Wayne, J. S., Waldmann, L. K., Guccione, J. M., and Mcculloch, A. D. 1996. A three-dimensional finite element method for large elastic deformations of ventricular myocardium: Ii - prolate spheroidal coordinates. J. Biomedical Engineering 118, 4 (November), 464--472.
|
| |
15
|
Cvc, UT Austin. 2005. Volrover. http://cvcweb.ices.utexas.edu/software/guides.php.
|
| |
16
|
De Munck, J. 1992. A linear discretization of the volume conductor boundary integral equation using analytically integrated elements. IEEE Trans Biomed. Eng. 39, 9 (September), 986--990.
|
 |
17
|
|
 |
18
|
|
| |
19
|
Dey, T. K., Giesen, J., and Goswami, S. 2003. Shape segmentation and matching with flow discretization. In Proc. Workshop Algorithms Data Strucutres (WADS 03), F. Dehne, J.-R. Sack, and M. Smid, Eds., LNCS 2748, 25--36.
|
 |
20
|
|
| |
21
|
|
| |
22
|
Edelsbrunner, H. 2002. Surface reconstruction by wrapping finite point sets in space. In Ricky Pollack and Eli Goodman Festschrift, B. Aronov, S. Basu, J. Pach, and M. Sharir, Eds. Springer-Verlag, 379--404.
|
| |
23
|
Geometry Center, University of Minnesota. 1996. Geomview. http://www.geomview.org/.
|
| |
24
|
|
| |
25
|
Goerres, G. W., Kamel, E., Seifert, B., Burger, C., Buck, A., Hany, T. F., and Schulthess, G. K. V. 2002. Accuracy of image coregistration of pulmonary lesions in patients with non-small cell lung cancer using an integrated pet/ct system. Journal Nucl. Med. 43, 1469--1475.
|
 |
26
|
|
| |
27
|
Goswami, S., Gillette, A., and Bajaj, C. 2007. Efficient Delaunay mesh generation from sampled scalar function. In Proc. 16th Int. Meshing Roundtable, 495--511.
|
| |
28
|
Hackbusch, W. 1985. Multi-Grid Methods and Applications. Springer Verlag, Berlin, Heidelberg, New York, Tokyo.
|
| |
29
|
Hille, B. 1992. Ionic Channels of Excitable Membranes., Second ed. Sinauer Associates, Inc., Sunderland, MA.
|
| |
30
|
Hodgkin, A. L., and Huxley, A. F. 1952. A quantitative description of membrane current and its application to conduction and excitation in nerve. Journal of Physiology 117, 500--544.
|
| |
31
|
Hunter, P., McCulloch, A., Nielsen, P., and Smaill, B. 1988. A finite element model of passive ventricular mechanics. ASMS BED 9, 387--397.
|
 |
32
|
|
 |
33
|
|
 |
34
|
|
| |
35
|
Luo, C., and Rudy, Y. 1991. A model of the ventricular cardiac action potential: Depolarization, repolarization and their interaction. Circulation Research 68, 6, 1501--1526.
|
| |
36
|
Luo, C., and Rudy, Y. 1994. A dynamic model of the cardiac ventricular action potential: I. simulations of ionic currents and concentration changes. Circulation Research 74, 6, 1071--1096.
|
| |
37
|
Maekawa, T. 1999. An overview of offset curves and surfaces. Computer-Aided Design 31, 3, 165--173.
|
| |
38
|
|
| |
39
|
Elliot R. McVeigh , Owen Faris , Dan Ennis , Patrick Helm , Frank Evans, Measurement of Ventricular Wall Motion, Epicardial Electrical Mapping, and Myocardial Fiber Angles in the Same Heart, Proceedings of the First International Workshop on Functional Imaging and Modeling of the Heart, p.76-82, November 15-16, 2001
|
| |
40
|
|
| |
41
|
Pinsky, H., Dyda, S., Pinsky, R., Misch, K., and Sarment, D. 2006. Accuracy of three-dimensional measurements using cone-beam ct. Dentomaxillofac. Radiol. 35, 6, 410--416.
|
| |
42
|
|
| |
43
|
|
| |
44
|
Rogers, J. M., and McCulloch, A. D. 1994. A collocation-galerkin finite element model of cardiac action potential propagation. IEEE Trans Biomed. Eng. 41, 743--757.
|
| |
45
|
Rudy, Y., and Plonsey, R. 1980. A comparison of volume conductor and source geometry effects on body surface and epicardial potentials. Circ. Res. 46, 283--291.
|
| |
46
|
Sachse, F. B. 2004. Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Mechanics. LNCS 2966. Springer, Berlin, Heidelberg, New York.
|
| |
47
|
Sahni, O., Mueller, J., Jansen, K. E., Shephard, M. S., and Taylor, C. A. 2005. Efficient anisotropic adaptive discretization of the cardiovascular system. Tech. rep., RPI.
|
| |
48
|
Sahni, O. 2005. Adaptive procedure for efficient blood-flow simulations. PhD thesis, RPI.
|
| |
49
|
Siersma, D. 1999. Voronoi diagrams and morse theory of the distance function. In Geometry in Present Day Science, O. E. Barndorff and E. B. V. Jensen, Eds. 187--208.
|
| |
50
|
|
| |
51
|
Taylor, C., Hughes, T., and Zarins, C. 1998. Finite element modeling of 3-dimensional pulsatile flow in the abdominal aorta: Relevance to atherosclerosis. Annals of Biomedical Engineering 26, 6, 1--13.
|
| |
52
|
Taylor, C., Hughes, T., and Zarins, C. 1998. Finite element modeling of blood flow in arteries. Computer Methods in Applied Mechanics and Engineering 158, 1--2, 155--196.
|
| |
53
|
Taylor, C., Hughes, T., and Zarins, C. 1999. Effect of exercise on hemodynamic conditions in the abdominal aorta. Journal of Vascular Surgery 29, 1077--89.
|
| |
54
|
Bernhard Tilg , Robert Modre , Gerald Fischer , Friedrich Hanser , Bernd Messnarz , Franz Xaver Roithinger, Imaging of Electrical Function within the Human Atrium and Ventricle from Paced ECG Mapping Data, Proceedings of the First International Workshop on Functional Imaging and Modeling of the Heart, p.148-156, November 15-16, 2001
|
| |
55
|
Toshiba Medical Systems - 64 Slice CT. 2006. Clinical advancement in volumetric CT.
|
| |
56
|
|
| |
57
|
Vetter, F., McCulloch, A., and Rogers, J. 1998. A finite element model of passive mechanics and electrical propagation in the rabbit ventricles. Computers in Cardiology, 705--708.
|
| |
58
|
Winslow, R. L., Scollan, D. F., Holmes, A., Yung, C. K., Zhang, J., and Jafri, M. S. 2000. Electrophysiological modeling of cardiac ventricular function: From cell to organ. Annual Reviews in Biomedical Engineering 2, 119--155.
|
| |
59
|
Yin, L., Luo, X., and Shephard, M. S. 2005. Identifying and meshing thin sections of 3-d curved domains. Tech. rep., RPI.
|
| |
60
|
|
| |
61
|
Yu, Z., and Bajaj, C. 2004. A fast and adaptive algorithm for image contrast enhancement. In Proc of IEEE International Conference on Image Processing, 1001--1004.
|
| |
62
|
Zhang, Y., Bajaj, C. L., and Xu, G. 2008. Surface smoothing and quality improvement of quadrilateral/hexahedral meshes with geometric flow. Communications in Numerical Methods in Engineering, To appear.
|
|