Abstract
In this paper, we discuss a new multilevel method for the vascular surface registration. Such registration is used for hemodynamic calculations. Special care is given to the discretization of the distance function and regularizer, as well as to the surface coarsening. We demonstrate the effectiveness of our method of vascular data used in flow computations.
Similar content being viewed by others
References
Aylward S R, Jomier J, Weeks S, et al. Registration and analysis of vascular images [J]. Int J Comput Vision, 2003, 55(2–3): 123–138.
Luca A, Marina P, Lorenzo B, et al. An image-based modeling framework for patient-specific computational hemodynamics [J]. Medical and Biological Engineering and Computing, 2008, 46(11): 1097–1112.
Donea J, Giuliani S, Halleux J P. An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-tructure interactions [J]. Comput Methods Appl Mech Eng, 1982, 33: 689–723.
Michel A A, Frank P F, Terry M P. An algorithmic overview of surface registration techniques for medical imaging [J]. Medical Image Analysis, 2000, 4(3): 201–217.
Marc V, Joan G. Surface matching via currents [J]. Information Processing in Medical Imaging, 2005, 5: 381–392.
Zhang Zhengyou. Iterative point matching for registration of free-form curves and surfaces [J]. International Journal of Computer Vision, 1994, 13(2):119–152.
Perperidis D, Raad H M, Daniel R. Spatio-temporal freeform registration of cardiac mr image sequences [J]. Medical Image Analysis, 2005, 9(5): 441–456.
Haber E, Modersitzki J. Multilevel methods for image registration [J]. SIAM J on Scientific Computing, 2004, 27: 1594–1607.
Holzapfel G A, Gasser T C, Ogden R W. A new constitutive framework for arterial wall mechanics and a comparative study of material models [J]. Journal of Elasticity (The Physical and Mathematical Science of Solids), 2000, 61(1–3): 1–48.
Bernhard T, Markus W, Wolfgang S. A Consistent bending model for cloth simulation with corotational subdivision finite elements [C]//Proceedings of the 2006 ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Aire-la-Ville: ACM Press, 2006: 107–116.
David B, Andrew W. Large steps in cloth simulation [C]// Computer Graphics Proceedings, Annual Conference Series. Orlando: Siggraph, 1998: 3447–3451.
Mollemans W, Schutyser F, Van C J. Tetrahedral mass spring model for fast soft tissue deformation [C]//Proceedings International Symposium on Surgery Simulation and Soft Tissue Modeling-IS4TM. New York: Springer-Verlag, 2003, 2673: 145–154.
Lewis A S, Overton M L. Nonsmooth optimization via bfgs [J]. Submitted to SIAM J Optimization, 2009: 1–31.
Schroeder W, Martin K, Lorensen W E. The Visualization Toolkit, an Object Oriented Approach to 3D Graphics [M]. 4th Edition. Albany: Kitware Inc, 2005.
Author information
Authors and Affiliations
Corresponding author
Additional information
Biography: MA Xiaoyan, female, Lecturer, research direction: applied mathematics and computational mathematics.
Rights and permissions
About this article
Cite this article
Ma, X., Dong, W. & Guo, M. A multilevel framework for nonlinear surface registration. Wuhan Univ. J. Nat. Sci. 18, 272–276 (2013). https://doi.org/10.1007/s11859-013-0927-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11859-013-0927-7