CYLINDRICAL B-SPLINE MODEL FOR REPRESENTATION AND FITTING OF HEART SURFACES

Ting-ting Jiang, S. Y. Chen, Qiu Guan, Chunyan Yao

2007

Abstract

Heart diseases cause high mortality while the therapy of these diseases is still faulty. Consequently recovery of human’s heart is valuable for clinical diagnosis and treatment. This paper proposes a new approach for three-dimensional (3-D) representation of external surface of human hearts based on B-Spline model. The model is represented in both Cartesian and cylindrical coordinates. By comparison, we find that the cylindrical coordinate is more convenient and much closely fits the structure of human hearts. The fitting is based on a cloud of points which can be extracted from computed tomography (CT) slices by an edge detection method. Results show that cylindrical B-Spline with a given number of control points can well fit the external surface of an artificial heart, which can then be further used for quantitative and functional analysis of the heart easily and accurately.

References

  1. A. F. Frangi, W. J. Niessen, M. A.Viergever, 2001. Three-Dimensional Modeling for Functional Analysis of Cardiac Images: A Review. IEEE transactions on medical imaging, Vol.20.
  2. J. O. Pentecost, J. Icardo, and K. L. Thornburg, 1999. 3D computer modeling of human cardiogenesis. Computerized Medical Imaging and Graphics.
  3. K. Park, D. Metaxas, L. Axel, 2003. A Finite Element Model for Functional Analysis of 4D Cardiac-Tagged MR Images. Lecture Notes in Computer Science, vol. p491-498.
  4. Cristian Lorenz, Jens von Berg, 2006. A comprehensive shape model of the heart, Medical Image Analysis.
  5. C. Vuille and A. E. Weyman, 1994. Left ventricle I: General considerations, assessment of chamber size and function. in Principles and Practice of Echocardiography, 2nd ed.
  6. M. C. Dulce, G. H. Mostbeck, K. K. Friese, G. R. Caputo, and C. B. Higgings, 1993. Quantification of the left ventricular volumes and function with cine MR imaging: Comparison of geometric models with three dimensional data. Radiology, vol. 188, no. 2, pp. 371-376.
  7. Jinah Park, Dimitri Metaxas, 1996. Deformable Models with Parameter Functions for Cardiac Motion Analysis from Tagged MRI Data. IEEE Trans. Medical
  8. Imaging.,15(3): 278~289.
  9. J. C. Cauvin, J. Y. Boire, M. Zanca, J. M. Bonny, J. Maublant, and A. Veyre, 1993. 3D modeling in myocardial 201TL SPECT. Computerized Medical Imaging and Graphics, vol. 17, no. 4-5, pp. 345-350.
  10. C. W. Chen, J. Luo, K. J. Parker, T. S. Huang, 1995. CT volumetric data-based left ventricle motion estimation: An integrated approach. Computerized Medical Imaging and Graphics, vol. 19, no. 1, pp. 85-100.
  11. L. H. Staib, J.S.Duncan, 1996. Model-based deformable surface finding for medical images. IEEE Trans. Med. Imag., vol. 15, pp. 720-731.
  12. Idith Haber, Ron Kikinis and Carl-Fredrik Westin, 2001. Phase-drive finite element model for spatio-temporal tracking in cardiac tagged MRI. Springer-Verlag Berlin Heidelberg.
  13. Guo Luo and Pheng Ann Heng, 2004. LV Shape and Motion: B-Spline Based Deformable Model and Sequential Motion Decomposition IEEE Trans. Inf Technol Biomed.
  14. De Boor, 1978. A practical guide to splines. Springer. Berlin
  15. Farin, G.E., 2002. Curves and Surfaces for CAGD: A Practical Guide. Kaufmann, San Francisco.
  16. Farin, G.E., Dianne, H., 2000. The Essentials of CAGD. Peters, Natick, USA.
  17. Rogers, D.F., 2001. An Introduction to NURBS with Historical. Perspective. Morgan Kaufmann, San Francisco.
  18. Ateshian, G.A., 1993. A B-Spline least-squares surface-fitting method for articular surfaces of diarthrodial joints. J. Biomech. Eng. 115, 366-373.
  19. B.Zhang, J.F.M. Molenbroek, 2004. Representation of human head with bi-cubic B-Spline technique based on the laser scanning technique in 3D surface anthropometry. Applied ergonomics, Elsevier.
  20. Jon D. Klingensmith, D. Geoffrey Vince, 2002. B-Spline methods for interactive segmentation and modeling of lumen and vessel intravascular ultrasound. Computerized Medical Imaging and Graphics. Pergamon.
  21. Nicholas J. Tustison, Victor G. Dávila-Román, and Amir A. Amini. 2003. Myocardial Kinematics From Tagged MRI Based on a 4-D B-Spline Model. IEEE Trans. on BIOMEDICAL ENGINEERING, Vol. 50.
  22. Amir A. Amini, Yasheng Chen, Mohamed Elayyadi, , Petia Radeva, 2001. Tag Surface Reconstruction and Tracking of Myocardial Beads from SPAMM-MRI with Parametric B-Spline Surfaces. IEEE Transactions Medical Imaging.
  23. William Paul Segars 2001. Development and application of the new dynamic nurbs-based cardiac-torso (NCAT) phantom. University of North Carolina, MA.
  24. Xiang Deng and Thomas S. Denney, Jr. 2004. Three-Dimensional Myocardial Strain Reconstruction From Tagged MRI Using a Cylindrical B-Spline. IEEE Trans. on MEDICAL IMAGING, Vol. 237.
  25. Javier Sánchez-Reyes, 1995. Quasinonparametric surfaces. Computer-Aided Design, Vol.27, p263 - 275.
  26. Seok-Hyung Bae, Byoung K. Choi. 2002. NURBS surface fitting using orthogonal coordinate transform for rapid product development. Computer-Aided Design. vol. 34, p683-690.
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Paper Citation


in Harvard Style

Jiang T., Y. Chen S., Guan Q. and Yao C. (2007). CYLINDRICAL B-SPLINE MODEL FOR REPRESENTATION AND FITTING OF HEART SURFACES . In Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007) ISBN 978-972-8865-75-7, pages 62-68. DOI: 10.5220/0002064800620068


in Bibtex Style

@conference{3d model aquisition and representation07,
author={Ting-ting Jiang and S. Y. Chen and Qiu Guan and Chunyan Yao},
title={CYLINDRICAL B-SPLINE MODEL FOR REPRESENTATION AND FITTING OF HEART SURFACES},
booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007)},
year={2007},
pages={62-68},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002064800620068},
isbn={978-972-8865-75-7},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: 3D Model Aquisition and Representation, (VISAPP 2007)
TI - CYLINDRICAL B-SPLINE MODEL FOR REPRESENTATION AND FITTING OF HEART SURFACES
SN - 978-972-8865-75-7
AU - Jiang T.
AU - Y. Chen S.
AU - Guan Q.
AU - Yao C.
PY - 2007
SP - 62
EP - 68
DO - 10.5220/0002064800620068