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Abstract AI-Helper 아이콘AI-Helper

Quantitative information of a three dimensional(3D) kinematics of joint is very useful in knee joint surgery, understanding how knee kinematics related to joint injury, impairment, surgical treatment, and rehabilitation. In this paper, an automated 2D/3D image matching technique was developed to est...

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제안 방법

  • The whole estimation of 3D in vivo knee kinematics process was performed the following steps. First, the geometric bone models of tibia and femur were reconstructed from CT data. Then, the virtual X-ray images are projected from the geometric models, and the image pixel values are compared directly to pixel values in the dual X-ray images.
  • For estimating the position and orientation of the knee joint, the 3D model was matched with the given dual X-ray images by using the developed 2D/3D image matching technique. For each component of the knee joint, the present technique was performed separately.
  • The accuracy of the present technique was estimated by comparing estimated the position and orientation with the original values. In addition, the 2D/3D image matching technique with one X-ray image was also tested in order to compare the accuracy to the matching technique with two X-ray images. This accuracy test was repeated three times.
  • In order to validate the accuracy of the developed 2D/3D image matching technique, the image matching of a cubic phantom was performed. A cubic phantom with a dimension of 64 mm x 64 mm x 64 mm was used.
  • In this paper, an automated 2D/3D image matching technique was developed to estimate the position and orientation of femoral and tibial components from dual X-ray images. The estimated result was used to determine the in vivo kinematics of the knee joint.
  • In this study, a 2D/3D image matching technique was developed to estimate the kinematics of the knee joint based on an automated pixel by pixel comparison of images. The whole estimation of 3D in vivo knee kinematics process was performed the following steps.
  • In this study, the 3D knee joint models were reconstructed from CT data. The CT images were scanned by 1 mm slice over the range of 128 mm (superior to posterior) of the knee joint (Brilliance-16, Philips Medical Systems, Best, Netherlands).
  • Recently, automated image matching technique has developed by applying optimization algorithms based on the comparison of the boundary of images [14, 16]. In this study, the optimal position and orientation were obtained by the direct pixel by pixel comparison. In general, the direct image comparison method has several advantages: 1) not to require a segmentation of the image to detect edge of the 3D object, 2) easy to apply the method to the object without very clear edges such as bone, and 3) easy to implement and modify the algorithm.
  • In this study, three clinical cases were investigated to estimate the in vivo kinematics of the knee joint. The relative in vivo kinematics of the femur were measured as the posterior translations were 3.
  • The 2D/3D image matching technique in this study is a powerful tool for the accurate determinations of 3D position and orientation of the knee joint and could provide informative characterization of implant designs and surgical options of the knee surgery. The advantages of our study are the accurate estimation of the 3D knee joint kinematics including out-of-plane motion by using dual X-ray images and the automated process by the optimization algorithm.
  • Next, an optimization algorithm was used to minimize the difference of the pixel values. The accuracy of the present technique was validated by an experiment with a 3D cubic phantom in a known position and orientation.
  • the knee surgery. The advantages of our study are the accurate estimation of the 3D knee joint kinematics including out-of-plane motion by using dual X-ray images and the automated process by the optimization algorithm. Furthermore, the present technique could be applied to the studies about 3D dynamic in vivo kinematics of other musculoskeletal joint.
  • The estimated result was used to determine the in vivo kinematics of the knee joint. Since the abnomal kinematics of the knee joint could influence the surgical outcomes of TKA, accurate estimation of in vivo kinematics of the knee joint would be valuable for pre-operative planning and post-operative evaluation [2, 3].
  • The global coordinate system of the knee joint and the local coordinate systems in both tibial and femoral components were defined to measure the translation and rotation of each component (Fig. 3). The mechanical axis of the knee extending from the center of the hip joint to the middle of the ankle joint was used to define the superior-inferior axis for the femur and tibia.
  • Two virtual X-ray images were taken from two perpendicular directions in a known position and orientation by using the MATLAB code for projection. Then, the developed technique was applied with the cubic phantom model and the two virtual X-ray images to find the position and orientation of the phantom. The accuracy of the present technique was estimated by comparing estimated the position and orientation with the original values.
  • Several researches have applied 2D/3D image matching techniques for assessing the motion of the implants in TKA patients from X-ray fluoroscopic images [2, 7-10]. These studies have used the known edge (and silhouette) information of metal components and the knee joint to calculate the similarity between the reconstructed 3D model and the given X-ray images. However, a large library of implant silhouette is necessary to achieve a good result.
  • Two projection images were obtained from the 3D object by using our own MATLAB code based on the digitally reconstructed radiography method in two perpendicular directions where the given dual X-ray images were taken. The image acquisition geometry which had been set when taking CT images and X-ray images was considered.
  • For each component of the knee joint, the present technique was performed separately. With the obtained results for each component which were all translations and rotations with respect to the x-, y-, and z-axis of the global coordinate system, the tibial and femoral components were combined into the whole knee joint model. Then, the posterior and mediolateral translation of femur with respect to tibia could be estimated.

대상 데이터

  • CT data. The CT images were scanned by 1 mm slice over the range of 128 mm (superior to posterior) of the knee joint (Brilliance-16, Philips Medical Systems, Best, Netherlands). Because the relative position and orientation between femur and tibia is necessary for estimating the 3D knee kinematics, femoral and tibial components should be reconstructed separately (Fig.

이론/모형

  • A cubic phantom with a dimension of 64 mm x 64 mm x 64 mm was used. Two virtual X-ray images were taken from two perpendicular directions in a known position and orientation by using the MATLAB code for projection. Then, the developed technique was applied with the cubic phantom model and the two virtual X-ray images to find the position and orientation of the phantom.
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참고문헌 (16)

  1. American Academy of Orthopaedic Surgeons, Minimally Invasive Total Knee Replacement, http://orthoinfo.aaos.org 

  2. S. Zuffi, A. Leardini, F. Catani, S. Fantozzi, and A. Cappello, "A model-based method for the reconstruction of total knee replacement kinematics," IEEE Trans. Med. Imaging, vol. 18, pp.981-991, 1999 

  3. M.R. Mahfouz, W.A. Hoff, R.D. Komistek, and D.A. Denis, "A robust method for registration of three-dimensional knee implant models to two-dimensional fluoroscopy images," IEEE Trans. Med. Imaging, vol. 22, pp.1561-1574, 2003 

  4. H.J. Woltring, P. van Roy, M. Hebbelinck, M. Osteaux, and L. Verbruggen, "3-D knee joint kinematics by magnetic resonance images," J. Biomech., vol. 23, pp.384, 1990 

  5. H. Yoshida, K. Wanatabe, Y. Tanabe, A. Kobayashi, and M. Sakamoto, "Analysis of tibio-femoral joint kinematics and contact area using MRI," J. Japanese Soc. Exp. Mech., vol. 6, pp. 31-35, 2006 

  6. J.B. Stiehl, R.D. Komistek, D.A. Dennis, R.D. Paxson, and W.A. Hoff, "Fluoroscopic analysis of kinematics after posteriorcruciate- retaining knee arthroplasty," J. Bone Joint Surg. Br., vol. 77, pp. 884-889, 1995 

  7. S.A. Banks, and W.A. Hodge, "Accurate measurement of threedimensional knee replacement kinematics using single-plane fluoroscopy," IEEE Trans. Biomed. Eng., vol. 43, pp.638-649, 1996 

  8. S.A. Walker, W. Hoff, R. Komistek, and D. Denis, "In vivo pose estimation of artificial knee implants using computer vision," Biomed. Sci. Instrum., vol. 32, pp.143-150, 1996 

  9. M.E. Sajorak, W.A. Hoff, R.D. Komistek, and D.A. Denis, "Utilization of an automated model fitting process to determine kinematics of TKA," in Proc. 23rd ASB Annual Meeting, Pittsburgh, USA, October, 1999 

  10. J.Y. Jenny, Y. Lefebvre, M. Vernizeau, F. Lavaste, and W. Skalli, "In vitro analysis of the continuous active patellofemoral kinematics of the normal and prosthetic knee," Rev. Chir. Orthop. Reparatrice. Appar. Mot., vol. 88, pp.797-802, 2002 

  11. G.R. Hanson, J.F. Suggs, A.A. Freiberg, S. Durbhakula, and G. Li, "Investigation of in vivo 6DOF total knee arthoplasty kinematics using a dual orthogonal fluoroscopic system," J. Orthop. Res., vol. 24, pp.974-981, 2006 

  12. B.M. You, P. Siy, W. Anderst, and S. Tashman, "In vivo measurement of 3-D skeletal kinematics from sequences of biplane radiographs: application to knee kinematics," IEEE Trans. Med. Imaging, vol. 22, pp.512-525, 2001 

  13. B.A. MacWilliams, J.D. DesJardins, D.R. Wilson, J. Romero, and E.Y. Chao, "A repeatable alignment method and local coordinate description for knee joint testing and kinematic measurement," J. Biomech., vol. 31, pp.947-950, 1998 

  14. B.J. Fregly, H.A. Rahman, and S.A. Banks, "Theoretical accuracy of model-based shape matching for measuring natural knee kinematics with single-plane fluoroscopy," J. Biomech. Eng., vol. 127, pp.692-699, 2005 

  15. I. Kanisawa, A.Z. Banks, S.A. Banks, H. Moriya, and A. Tsuchiya, "Weight-bearing knee kinematics in subjects with two types of anterior cruciate ligament reconstructions," Knee Surg. Sports Traumatol. Arthrosc., vol. 11, pp.16-22, 2003 

  16. R.D. Komistek, D.A. Dennis, and M. Mahfouz, "In vivo fluoroscopic analysis of the normal human knee," Clin. Orthop. Relat. Res., vol. 410, pp.69-81, 2003 

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