Abstract
Roentgen stereophotogrammetry analysis technique allows an accurate measurement of knee joint prosthesis position and orientation using two X-ray images. Although this technique is used generally during static procedure, it is possible to use it with a biplane fluoroscopic system to measure the prosthesis kinematics during functional tasks (e.g., gait, squat, jump) performed in a laboratory environment. However, the performance of the system in terms of errors for the measurements and the model-based matching algorithm are not well known for dynamic tasks such as walking. The goal of this study was to estimate the static and dynamic errors of a model-based biplane fluoroscopic system for a treadmill gait task and analyze the error performance according to the speed and location of the knee joint prosthesis relative to X-ray sources. The results show a static maximum error (RMSE) of 0.13° for orientation and 0.06 mm for position for prosthesis components. The dynamic errors were different for each axis of the acquisition system and each prosthesis component. The largest dynamic error was along the vertical axis for the position (RMSE = 2.42 mm) and along the medio-lateral axis (perpendicular to movement) for the orientation (RMSE = 0.95°). As expected, the error depends on the distance between the prosthesis and the source in the acquisition system as well as the linear and angular velocity of the movement. The most accurate dynamic measure was around the centroid of the acquisition system, while kinematics measurements close to the X-rays detectors gave the worst errors.
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References
Acker S, Li R, Murray H, John PS, Banks S, Mu S, Wyss U, Deluzio K (2011) Accuracy of single-plane fluoroscopy in determining relative position and orientation of total knee replacement components. J Biomech 44:784–787. doi:10.1016/j.jbiomech.2010.10.033
Akbarshahi M, Schache AG, Fernandez JW, Baker R, Banks S, Pandy MG (2010) Non-invasive assessment of soft-tissue artifact and its effect on knee joint kinematics during functional activity. J Biomech 43:1292–1301. doi:10.1016/j.jbiomech.2010.01.002
Anderst W, Zauel R, Bishop J, Demps E, Tashman S (2009) Validation of three-dimensional model-based tibio-femoral tracking during running. Med Eng Phys 31:10–16. doi:10.1016/j.medengphy.2008.03.003
Banks SA, Hodge WA (1996) Accurate measurement of three-dimensional knee replacement kinematics using single-plane fluoroscopy. IEEE Trans Biomed Eng 43:638–649. doi:10.1109/10.495283
Barre A, Thiran JP, Jolles BM, Theumann N, Aminian K (2013) Soft tissue artifact assessment during treadmill walking in subjects with total knee arthroplasty. IEEE Trans Biomed Eng 60:3131–3140. doi:10.1109/TBME.2013.2268938
Bing L, Acton ST (2007) Active contour external force using vector field convolution for image segmentation. IEEE Trans Image Process 16:2096–2106. doi:10.1109/TIP.2007.899601
Bingham J, Li G (2006) An optimized image matching method for determining in vivo TKA kinematics with a dual-orthogonal fluoroscopic imaging system. J Biomech Eng 128:588–595. doi:10.1115/1.2205865
Cappozzo A, Cappello A, Della Croce U, Pensalfini F (1997) Surface-marker cluster design criteria for 3-D bone movement reconstruction. IEEE Trans Biomed Eng 44:1165–1174. doi:10.1109/10.649988
Carr AJ, Robertsson O, Graves S, Price AJ, Arden NK, Judge A, Beard DJ (2012) Knee replacement. Lancet 379:1331–1340. doi:10.1016/S0140-6736(11)60752-6
Garling EH, Kaptein BL, Geleijns K, Nelissen RG, Valstar ER (2005) Marker configuration model-based roentgen fluoroscopic analysis. J Biomech 38:893–901. doi:10.1016/j.jbiomech.2004.04.026
Giphart JE, Zirker CA, Myers CA, Pennington WW, LaPrade RF (2012) Accuracy of a contour-based biplane fluoroscopy technique for tracking knee joint kinematics of different speeds. J Biomech 45:2935–2938. doi:10.1016/j.jbiomech.2012.08.045
Grood ES, Suntay WJ (1983) A joint coordinate system for the clinical description of three-dimensional motions: application to the knee. J Biomech Eng 105:136–144
Horn BKP (1987) Closed-form solution of absolute orientation using unit quaternions. J Opt Soc Am A 4:629–642
Hsu C-P, Lin S-C, Shih K-S, Huang C-H, Lee C-H (2014) Predicting 3D pose in partially overlapped X-ray images of knee prostheses using model-based Roentgen stereophotogrammetric analysis (RSA). Med Biol Eng Comput 52:1061–1071. doi:10.1007/s11517-014-1206-2
Hurschler C, Seehaus F, Emmerich J, Kaptein BL, Windhagen H (2008) Accuracy of model-based RSA contour reduction in a typical clinical application. Clin Orthop Relat Res 466:1978–1986. doi:10.1007/s11999-008-0287-3
Iaquinto JM, Tsai R, Haynor DR, Fassbind MJ, Sangeorzan BJ, Ledoux WR (2014) Marker-based validation of a biplane fluoroscopy system for quantifying foot kinematics. Med Eng Phys 36:391–396. doi:10.1016/j.medengphy.2013.08.013
Kaptein BL, Valstar ER, Stoel BC, Rozing PM, Reiber JH (2004) Evaluation of three pose estimation algorithms for model-based roentgen stereophotogrammetric analysis. Proc Inst Mech Eng H 218:231–238
Komistek RD, Dennis DA, Mahfouz M (2003) In vivo fluoroscopic analysis of the normal human knee. Clin Orthop Relat Res. doi:10.1097/01.blo.0000062384.79828.3b
Lebel BP, Pineau V, Gouzy SL, Geais L, Parienti JJ, Dutheil JJ, Vielpeau CH (2011) Total knee arthroplasty three-dimensional kinematic estimation prevision. From a two-dimensional fluoroscopy acquired dynamic model. Orthop Traumatol Surg Res 97:111–120. doi:10.1016/j.otsr.2011.01.003
Lee J, Shin SY (2002) General construction of time-domain filters for orientation data. IEEE Trans Vis Comput Graph 8:119–128
Li G, Van de Velde SK, Bingham JT (2008) Validation of a non-invasive fluoroscopic imaging technique for the measurement of dynamic knee joint motion. J Biomech 41:1616–1622. doi:10.1016/j.jbiomech.2008.01.034
Li G, Kozanek M, Hosseini A, Liu F, Van de Velde SK, Rubash HE (2009) New fluoroscopic imaging technique for investigation of 6DOF knee kinematics during treadmill gait. J Orthop Surg Res 4:6. doi:10.1186/1749-799X-4-6
Mahfouz MR, Hoff WA, Komistek RD, Dennis DA (2003) A robust method for registration of three-dimensional knee implant models to two-dimensional fluoroscopy images. IEEE Trans Med Imaging 22:1561–1574. doi:10.1109/TMI.2003.820027
Miranda DL, Schwartz JB, Loomis AC, Brainerd EL, Fleming BC, Crisco JJ (2011) Static and dynamic error of a biplanar videoradiography system using marker-based and markerless tracking techniques. J Biomech Eng 133:121002. doi:10.1115/1.4005471
Selvik G (1989) Roentgen stereophotogrammetry. A method for the study of the kinematics of the skeletal system. Acta Orthop Scand Suppl 232:1–51
Stagni R, Fantozzi S, Cappello A, Leardini A (2005) Quantification of soft tissue artefact in motion analysis by combining 3D fluoroscopy and stereophotogrammetry: a study on two subjects. Clin Biomech 20:320–329. doi:10.1016/j.clinbiomech.2004.11.012
Tarroni G, Tersi L, Corsi C, Stagni R (2012) Prosthetic component segmentation with blur compensation: a fast method for 3D fluoroscopy. Med Biol Eng Compu 50:631–640. doi:10.1007/s11517-012-0884-x
Tersi L, Barré A, Fantozzi S, Stagni R (2013) In vitro quantification of the performance of model-based mono-planar and bi-planar fluoroscopy for 3D joint kinematics estimation. Med Biol Eng Comput 51:257–265. doi:10.1007/s11517-012-0987-4
Trozzi C, Kaptein BL, Garling EH, Shelyakova T, Russo A, Bragonzoni L, Martelli S (2008) Precision assessment of model-based RSA for a total knee prosthesis in a biplanar set-up. Knee 15:396–402. doi:10.1016/j.knee.2008.05.001
Tsai TY, Lu TW, Kuo MY, Hsu HC (2009) Quantification of three-dimensional movement of skin markers relative to the underlying bones during functional activities. Biomed Eng Appl Basis Commun 21:223–232
Walther BA, Moore JL (2005) The concepts of bias, precision and accuracy, and their use in testing the performance of species richness estimators, with a literature review of estimator performance. Ecography 28:815–829. doi:10.1111/j.2005.0906-7590.04112.x
Weinstein AM, Rome BN, Reichmann WM, Collins JE, Burbine SA, Thornhill TS, Wright J, Katz JN, Losina E (2013) Estimating the burden of total knee replacement in the United States. J Bone Joint Surg Am 95:385–392. doi:10.2106/JBJS.L.00206
Zihlmann MS, Gerber H, Stacoff A, Burckhardt K, Szekely G, Stussi E (2006) Three-dimensional kinematics and kinetics of total knee arthroplasty during level walking using single plane video-fluoroscopy and force plates: a pilot study. Gait Posture 24:475–481. doi:10.1016/j.gaitpost.2005.12.012
Acknowledgements
This study was supported partly by the Swiss National Science Foundation (SNSF Grant 205320-137940 and 205321-120136) and was partly financed by the Inter-institutional Centre of Translational Biomechanics (CBT) and the “Fondation de soutien à la recherche en orthopédie et traumatologie”.
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Barré, A., Aminian, K. Error performances of a model-based biplane fluoroscopic system for tracking knee prosthesis during treadmill gait task. Med Biol Eng Comput 56, 307–316 (2018). https://doi.org/10.1007/s11517-017-1680-4
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DOI: https://doi.org/10.1007/s11517-017-1680-4