Abstract
This paper presents a method for the generation of landmarks in three-dimensional shapes and the construction of the corresponding 3-D statistical shape models. The technique relies on establishing shape correspondances via a volumetric non-rigid registration technique using multi-resolution B-spline deformations. This approach presents some advantages over previously published methods: it can treat multiple-part structures, and it requires less restrictive assumptions on the structure’s topology. In this paper we address the problem of building a three-dimensional statistical shape model of the left and right ventricles of the heart from 3-D Magnetic Resonance (MR) images. This application demonstrates the robustness and accuracy of the method in the presence of large shape variability and multiple objects.
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References
T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham, “Active Shape Models — their training and application,” Comp Vis Image Underst, vol. 61, no. 1, pp. 38–59, 1995.
A. D. Brett and C. J. Taylor, “A method of automated landmark generation for automated 3D PDM construction,” Imag Vis Comp, vol. 18, no. 9, pp. 739–48, 2000.
A. D. Brett and C. J. Taylor, “Automated construction of 3D shape models using harmonic maps,” in Medical Image Understanding and Analysis, S. Arridge and A. Todd-Pokropek, Eds., London, July 2000, pp. 175–78.
M. Fleute and S. Lavallée, “Building a complete surface model from sparse data using statistical shape models: applications to computer assisted knee surgery,” Boston, USA, Sept. 1998, vol. 1496 of Lect Notes Comp Science, pp. 879–87, Springer Verlag.
M. Fleute and S. Lavallée, “Incorporating a statistically based shape model into a system for computer-assisted anterior cruciate ligament surgery,” Med Image Anal, vol. 3, no. 3, pp. 209–22, 1999.
G. Subsol, J-P. Thirion, and N. Ayache, “A scheme for automatically building three-dimensional morphometric anatomical atlases: application to a skull atlas,” Med Image Anal, vol. 2, no. 1, pp. 37–60, 1998.
P.J. Besl and N.D. McKay, “A method for registration of 3D shapes,” IEEE Trans Pattern Anal Machine Intell, vol. 14, no. 2, pp. 239–55, Feb. 1992.
R. H. Davies, C. J. Twining, T. F. Cootes, J. C. Waterton, and C. J. Taylor, “A minumum description length approach to statistical shape modelling,” IEEE Trans Med Imaging, vol. 21, no. 5, May 2002, in press.
D. Rueckert, L. I. Sonoda, C. Hayes, D. L. G. Hill, M. O. Leach, and D. J. Hawkes, “Non-rigid registration using free-form deformations: Application to breast MR images,” IEEE Trans Med Imaging, vol. 18, no. 8, pp. 712–721, Aug. 1999.
J. A. Schnabel, D. Rueckert, M. Quist, J. M. Blackall, A. D. Castellano-Smith, T. Hartkens, G. P. Penney, W. A. Hall, H. Liu, C. L. Truwitt, F. A. Gerritsen, D.L.G. Hill, and D.J. Hawkes, “A generic framework for non-rigid registration based on non-uniform multi-level free-form deformations,” Utrecht, NL, Oct. 2001, vol. 2208 of Lect Notes Comp Science, pp. 573–81, Springer Verlag.
D.G. Altman, Practical Statistics for Medical Research, Chapman & Hall, 1991.
G.T. Herman, J. Zheng, and C.A. Bucholtz, “Shape-based interpolation,” IEEE Comp Graph & Appl, pp. 69–79, May 1992.
P.E. Danielsson, “Euclidean distance mapping,” Comp Graph Imag Proces, vol. 14, pp. 227–248, 1980.
W.E. Lorensen and H.E. Cline, “Marching cubes: a high resolution 3D surface reconstruction algorithm, ” Computer Graphics: SIGGRAPH’87 Conference Proceeding, vol. 21, pp. 163–9, July 1987.
A.F. Frangi, D. Rueckert, J.A. Schnabel, and W.J. Niessen, “Automatic 3D ASM construction via atlas-based landmarking and volumetric elastic registration,” in Inf Proces Med Imag, M. F. Insana and R. M. Leahy, Eds., 2001, vol. 2082, pp. 78–91.
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Frangi, A.F., Rueckert, D., Schnabel, J.A., Niessen, W.J. (2003). Automatic Construction of Biventricular Statistical Shape Models. In: Magnin, I.E., Montagnat, J., Clarysse, P., Nenonen, J., Katila, T. (eds) Functional Imaging and Modeling of the Heart. FIMH 2003. Lecture Notes in Computer Science, vol 2674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44883-7_3
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DOI: https://doi.org/10.1007/3-540-44883-7_3
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