Application of Free-form Deformation Algorithm in Fast Three-dimensioanl Bone Reconstruction_Journal of Biomedical Engineering

Authors：

ZENGXiangsen ^1,3 , ZHOUHai ¹ , WANGChengtao ¹ ,  WANGDongmei ¹ , CHENGong ²

1. Institute of Biomedical Manufacturing and Life Quality Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2. Crawford Door(Kunshan) Co., Ltd, Kunshan 215301, China;
3. Shanghai First People's Hospital, Shanghai 200080, China;

Corresponding author：

WANGDongmei, Email: dmwang@sjtu.edu.cn

Keywords：

X-ray image; point-match algorithm; free-form deformation algorithm; three-dimensioanl reconstruction; standard shape femur model

DOI：

10.7507/1001-5515.20140211

Video：

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Abstract Full text Figures/Tables Video References Cited by

This paper presents a unit free-form deformation (FFD) method applied to rapid three-dimensioanl (3D) bone reconstruction, which was based on traditional FFD. With the femur as an example, we reconstructed a 3D model of femur from two X-ray images and a standardized model by taking advantage of unit FFD algorithm. The X-ray images and its parameters were taken by C-arm device. Those parameters and X-ray contour are contributed to 3D reconstruction. The out contours of X-ray image and standard model were connected by point matching algorithm. The unit-FFD lattice was built to reconstruct standard model and finally made the contour of X-ray image and standard model exactly the same. Experiments on shape accuracy, robustness and time consuming, carried out by 35 specimen from cadaver, showed that mean error of shape (0.52 mm) and mean construction time (112 s) were lower than those using traditional method (0.7-2.6 mm, 8-20 min). The method proposed in this paper shows a good prospect in clinical application and related research.

Citation： ZENGXiangsen, ZHOUHai, WANGChengtao, WANGDongmei, CHENGong. Application of Free-form Deformation Algorithm in Fast Three-dimensioanl Bone Reconstruction. Journal of Biomedical Engineering, 2014, 31(5): 1121-1126. doi: 10.7507/1001-5515.20140211 Copy

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1. SEDERBERG T W, PARRY S R. Free-form deformation of solid geometric models[J]. Computer Graphics (ACM), 1986, 20(4): 151-160.
2. COQUILLART S. Extended free-form deformation: a sculpturing tool for 3D geometric modeling[J]. ACM SIGGRAPH Computer Graphics (ACM), 1990, 24(4): 187-196.
3. LAMOUSIN H J, WAGGENSPACK JR N. NURBS-based free-form deformations[J]. IEEE Comput Graph Appl, 1994, 14(6): 59-65.
4. KOBAYASHI K G, OOTSUBO K. t-FFD: free-form deformation by using triangular mesh[C]//Proceedings of the Eighth ACM Symposium on Solid Modeling and Applications. Seattle, WA: 2003: 226-234.
5. SCHMUTZ B, WULLSCHLEGER M E,NOSER H, et al. Fit optimisation of a distal medial tibia plate[J]. Comput Methods Biomech Biomed Engin, 2011, 14(4): 359-364.
6. MACNEIL J A, BOYD S K. Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method[J]. Bone, 2008, 42(6): 1203-1213.
7. BICKEL M, GÜLER Ö,KRAL F,et al. Evaluation of the application accuracy of 3D-navigation through measurements and prediction[C]//World Congress on Medical Physics and Biomedical Engineering. Germany: 2009: 349-351.
8. LIMMER S, DICKEN V, KUJATH P, et al. Three-dimensional reconstruction of central lung tumors based on CT data[J]. Chirurg, 2010, 81(9): 833-840.
9. ANGELOV A A, STYCZYNSKI Z A. Computer-aided 3D virtual training in power system education[C]//IEEE Power Engineering Society General Meeting. Tampa, FL: 2007: 1-4.
10. LORENSEN W E, CLINE H E. Marching cubes: a high resolution 3D surface construction algorithm[J]. Computer Graphics (ACM), 1987, 21(4): 163-169.
11. CANNY J. A computational approach to edge detection[J]. IEEE Trans Pattern Anal Mach Intell, 1986, PAMI-8(6): 679-698.
12. WANG C. Mechanical virtual human of China[J]. J Med Biomech, 2006, 21(3): 172-178.
13. GUNAY M. Three-dimensional bone geometry reconstruction from X-ray images using hierarchical free-form deformation and non-linear optimization[D]. Pittsburgh (PA): Carnegie Mellon University, 2003.
14. HUMBERT L, WHITMARSH T ,DE CRAENE M ,et al. 3D reconstruction of both shape and Bone Mineral Density distribution of the femur from DXA images[C]//IEEE International Symposium Biomedical Imaging: From Nano to Macro. Rotterdam: 2010: 456-459.
15. POMERO V, MITTON D, LAPORTE S, et al. Fast accurate stereoradiographic 3D-reconstruction of the spine using a combined geometric and statistic model[J]. Clin Biomech (Bristol, Avon), 2004, 19(3): 240-247.
16. CHAIBI Y ,CRESSON T,AUBERT B, et al. Fast 3D reconstruction of the lower limb using a parametric model and statistical inferences and clinical measurements calculation from biplanar X-rays[J]. Comput Methods Biomech Biomed Engin, 2012, 15(5): 457-466.
17. LE BRAS A, LAPORTE S,BOUSSON V, et al. 3D reconstruction of the proximal femur with low-dose digital stereoradiography[J]. Comput Aided Surg, 2004, 9(3): 51-57.

Journal of Biomedical Engineering

Application of Free-form Deformation Algorithm in Fast Three-dimensioanl Bone Reconstruction

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