{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T03:46:08Z","timestamp":1768448768221,"version":"3.49.0"},"reference-count":70,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T00:00:00Z","timestamp":1652313600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T00:00:00Z","timestamp":1652313600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2022,7]]},"DOI":"10.1007\/s11517-022-02576-2","type":"journal-article","created":{"date-parts":[[2022,5,12]],"date-time":"2022-05-12T05:02:47Z","timestamp":1652331767000},"page":"1815-1825","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["The helical axis of anatomical joints: calculation methods, literature review, and software implementation"],"prefix":"10.1007","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3401-967X","authenticated-orcid":false,"given":"Andrea","family":"Ancillao","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,5,12]]},"reference":[{"key":"2576_CR1","doi-asserted-by":"crossref","unstructured":"Ancillao A (2018) Stereophotogrammetry in functional evaluation: history and modern protocols. In: SpringerBriefs in applied sciences and technology. pp 1\u201329","DOI":"10.1007\/978-3-319-67437-7_1"},{"key":"2576_CR2","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1109\/TIM.2016.2620799","volume":"66","author":"A Ancillao","year":"2017","unstructured":"Ancillao A, Rossi S, Cappa P (2017) Analysis of knee strength measurements performed by a hand-held multicomponent dynamometer and optoelectronic system. IEEE Trans Instrum Meas 66:85\u201392. https:\/\/doi.org\/10.1109\/TIM.2016.2620799","journal-title":"IEEE Trans Instrum Meas"},{"key":"2576_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/21679169.2019.1646802","volume":"0","author":"A Ancillao","year":"2019","unstructured":"Ancillao A (2019) An experimental analysis of the sources of inaccuracy occurring in hip strength measurements conducted by hand held dynamometry. Eur J Phys 0:1\u20136. https:\/\/doi.org\/10.1080\/21679169.2019.1646802","journal-title":"Eur J Phys"},{"key":"2576_CR4","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.cmpb.2017.07.005","volume":"149","author":"A Ancillao","year":"2017","unstructured":"Ancillao A, Savastano B, Galli M, Albertini G (2017) Three dimensional motion capture applied to violin playing: a study on feasibility and characterization of the motor strategy. Comput Methods Prog Biomed 149:19\u201327. https:\/\/doi.org\/10.1016\/j.cmpb.2017.07.005","journal-title":"Comput Methods Prog Biomed"},{"key":"2576_CR5","doi-asserted-by":"crossref","unstructured":"Ancillao A (2018) A new method for the quality assurance of strength measurements. In: SpringerBriefs in applied sciences and technology. pp 31\u201388","DOI":"10.1007\/978-3-319-67437-7_2"},{"key":"2576_CR6","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1016\/j.gaitpost.2010.11.002","volume":"33","author":"E Rutz","year":"2011","unstructured":"Rutz E, Baker R, Tirosh O et al (2011) Tibialis anterior tendon shortening in combination with Achilles tendon lengthening in spastic equinus in cerebral palsy. Gait Posture 33:152\u2013157. https:\/\/doi.org\/10.1016\/j.gaitpost.2010.11.002","journal-title":"Gait Posture"},{"key":"2576_CR7","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1007\/s11832-013-0508-5","volume":"7","author":"R Brunner","year":"2013","unstructured":"Brunner R, Rutz E (2013) Biomechanics and muscle function during gait. J Child Orthop 7:367\u2013371. https:\/\/doi.org\/10.1007\/s11832-013-0508-5","journal-title":"J Child Orthop"},{"key":"2576_CR8","doi-asserted-by":"publisher","unstructured":"Ozada N, Ghafoorpoor Yazdi S, Khandan A, Karimzadeh M (2017) A brief review of reverse shoulder prosthesis: arthroplasty, complications, revisions, and development. Trauma Mon 23. https:\/\/doi.org\/10.5812\/traumamon.58163","DOI":"10.5812\/traumamon.58163"},{"key":"2576_CR9","doi-asserted-by":"publisher","unstructured":"Ancillao A (2019) An experimental analysis of the sources of inaccuracy occurring in hip strength measurements conducted by hand held dynamometry. Eur J Phys. https:\/\/doi.org\/10.1080\/21679169.2019.1646802","DOI":"10.1080\/21679169.2019.1646802"},{"key":"2576_CR10","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/S0268-0033(99)00057-1","volume":"15","author":"G Steinwender","year":"2000","unstructured":"Steinwender G, Saraph V, Scheiber S et al (2000) Intrasubject repeatability of gait analysis data in normal and spastic children. Clin Biomech 15:134\u2013139. https:\/\/doi.org\/10.1016\/S0268-0033(99)00057-1","journal-title":"Clin Biomech"},{"key":"2576_CR11","doi-asserted-by":"publisher","unstructured":"Vismara L, Cimolin V, Galli M, et al (2016) Osteopathic manipulative treatment improves gait pattern and posture in adult patients with Prader\u2013Willi syndrome. Int J Osteopath Med 19:35\u201343. https:\/\/doi.org\/10.1016\/j.ijosm.2015.09.001","DOI":"10.1016\/j.ijosm.2015.09.001"},{"key":"2576_CR12","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.humov.2017.08.005","volume":"55","author":"A Ancillao","year":"2017","unstructured":"Ancillao A, van der Krogt MM, Buizer AI et al (2017) Analysis of gait patterns pre- and post-single event multilevel surgery in children with cerebral palsy by means of offset-wise movement analysis profile and linear fit method. Hum Mov Sci 55:145\u2013155. https:\/\/doi.org\/10.1016\/j.humov.2017.08.005","journal-title":"Hum Mov Sci"},{"key":"2576_CR13","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/0021-9290(85)90293-3","volume":"18","author":"HJ Woltring","year":"1985","unstructured":"Woltring HJ, Huiskes R, de Lange A, Veldpaus FE (1985) Finite centroid and helical axis estimation from noisy landmark measurements in the study of human joint kinematics. J Biomech 18:379\u2013389. https:\/\/doi.org\/10.1016\/0021-9290(85)90293-3","journal-title":"J Biomech"},{"key":"2576_CR14","doi-asserted-by":"publisher","unstructured":"Ancillao A, Vochten M, Aertbeli\u00ebn E et al (2020) Estimating the instantaneous screw axis and the screw axis invariant descriptor of motion by means of inertial sensors: an experimental study with a mechanical hinge joint and comparison to the optoelectronic system. Sensors (Switzerland) 20. https:\/\/doi.org\/10.3390\/s20010049","DOI":"10.3390\/s20010049"},{"key":"2576_CR15","unstructured":"Mozzi G (1763) Discorso matematico sopra il rotamento momentaneo dei corpi. Stamperia del Donato Campo, Napoli"},{"key":"2576_CR16","unstructured":"Chasles M (1830) Note sur les propri\u00e9t\u00e9s g\u00e9nerales du syst\u00e8me de deux corps semblables entr\u2019eux et plac\u00e9s d\u2019une mani\u00e8re quelconque dans l\u2019espace; et sur le d\u00e9placement fini ou infiniment petit d\u2019un corps solide libre [A note on the general properties of a system of two si. Bull des Sci Math\u00e9matiques, F\u00e9russac 14:321\u2013326"},{"key":"2576_CR17","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/S0169-2607(02)00028-7","volume":"70","author":"S Martelli","year":"2003","unstructured":"Martelli S (2003) New method for simultaneous anatomical and functional studies of articular joints and its application to the human knee. Comput Methods Prog Biomed 70:223\u2013240. https:\/\/doi.org\/10.1016\/S0169-2607(02)00028-7","journal-title":"Comput Methods Prog Biomed"},{"key":"2576_CR18","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/S0169-2607(99)00055-3","volume":"62","author":"S Martelli","year":"2000","unstructured":"Martelli S, Zaffagnini S, Falcioni B, Marcacci M (2000) Intraoperative kinematic protocol for knee joint evaluation. Comput Methods Prog Biomed 62:77\u201386. https:\/\/doi.org\/10.1016\/S0169-2607(99)00055-3","journal-title":"Comput Methods Prog Biomed"},{"key":"2576_CR19","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1186\/1757-1146-3-13","volume":"3","author":"FT Sheehan","year":"2010","unstructured":"Sheehan FT (2010) The instantaneous helical axis of the subtalar and talocrural joints: a non-invasive in vivo dynamic study. J Foot Ankle Res 3:13. https:\/\/doi.org\/10.1186\/1757-1146-3-13","journal-title":"J Foot Ankle Res"},{"key":"2576_CR20","doi-asserted-by":"crossref","unstructured":"Ancillao A (2018) Modern functional evaluation methods for muscle strength and gait analysis. Springer International Publishing, International","DOI":"10.1007\/978-3-319-67437-7"},{"key":"2576_CR21","doi-asserted-by":"publisher","first-page":"1632","DOI":"10.1016\/j.jbiomech.2008.03.018","volume":"41","author":"AJ van den Bogert","year":"2008","unstructured":"van den Bogert AJ, Reinschmidt C, Lundberg A (2008) Helical axes of skeletal knee joint motion during running. J Biomech 41:1632\u20131638. https:\/\/doi.org\/10.1016\/j.jbiomech.2008.03.018","journal-title":"J Biomech"},{"key":"2576_CR22","doi-asserted-by":"publisher","first-page":"2471","DOI":"10.1109\/TBME.2018.2800293","volume":"65","author":"A Geier","year":"2018","unstructured":"Geier A, Aschemann H, D\u2019Lima D et al (2018) Force closure mechanism modeling for musculoskeletal multibody simulation. IEEE Trans Biomed Eng 65:2471\u20132482. https:\/\/doi.org\/10.1109\/TBME.2018.2800293","journal-title":"IEEE Trans Biomed Eng"},{"key":"2576_CR23","doi-asserted-by":"publisher","first-page":"653","DOI":"10.1016\/0021-9290(87)90032-7","volume":"20","author":"R Shiavi","year":"1987","unstructured":"Shiavi R, Limbird T, Frazer M et al (1987) Helical motion analysis of the knee\u2014II. Kinematics of uninjured and injured knees during walking and pivoting. J Biomech 20:653\u2013665. https:\/\/doi.org\/10.1016\/0021-9290(87)90032-7","journal-title":"J Biomech"},{"key":"2576_CR24","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1115\/1.2891237","volume":"113","author":"RA Hart","year":"1991","unstructured":"Hart RA, Mote CD, Skinner HB (1991) A finite helical axis as a landmark for kinematic reference of the knee. J Biomech Eng 113:215\u2013222. https:\/\/doi.org\/10.1115\/1.2891237","journal-title":"J Biomech Eng"},{"key":"2576_CR25","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/S0966-6362(98)00031-9","volume":"8","author":"C Frigo","year":"1998","unstructured":"Frigo C, Rabuffetti M (1998) Multifactorial estimation of hip and knee joint centres for clinical application of gait analysis. Gait Posture 8:91\u2013102. https:\/\/doi.org\/10.1016\/S0966-6362(98)00031-9","journal-title":"Gait Posture"},{"key":"2576_CR26","doi-asserted-by":"publisher","first-page":"212","DOI":"10.1016\/j.gaitpost.2004.05.002","volume":"21","author":"A Leardini","year":"2005","unstructured":"Leardini A, Chiari L, Della CU, Cappozzo A (2005) Human movement analysis using stereophotogrammetry: part 3. Soft tissue artifact assessment and compensation. Gait Posture 21:212\u2013225. https:\/\/doi.org\/10.1016\/j.gaitpost.2004.05.002","journal-title":"Gait Posture"},{"key":"2576_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0167-9457(97)00018-3","volume":"17","author":"L Ch\u00e8ze","year":"1998","unstructured":"Ch\u00e8ze L, Fregly BJ, Dimnet J (1998) Determination of joint functional axes from noisy marker data using the finite helical axis. Hum Mov Sci 17:1\u201315. https:\/\/doi.org\/10.1016\/S0167-9457(97)00018-3","journal-title":"Hum Mov Sci"},{"key":"2576_CR28","doi-asserted-by":"publisher","first-page":"1117","DOI":"10.1177\/0363546520910428","volume":"48","author":"JL Markstr\u00f6m","year":"2020","unstructured":"Markstr\u00f6m JL, Grip H, Schelin L, H\u00e4ger CK (2020) Individuals with an anterior cruciate ligament\u2013reconstructed knee display atypical whole body movement strategies but normal knee robustness during side-hop landings: a finite helical axis analysis. Am J Sports Med 48:1117\u20131126. https:\/\/doi.org\/10.1177\/0363546520910428","journal-title":"Am J Sports Med"},{"key":"2576_CR29","doi-asserted-by":"publisher","first-page":"109944","DOI":"10.1016\/j.jbiomech.2020.109944","volume":"109","author":"F Temporiti","year":"2020","unstructured":"Temporiti F, Cescon C, Adamo P et al (2020) Dispersion of knee helical axes during walking in young and elderly healthy subjects. J Biomech 109:109944. https:\/\/doi.org\/10.1016\/j.jbiomech.2020.109944","journal-title":"J Biomech"},{"key":"2576_CR30","doi-asserted-by":"publisher","first-page":"1906","DOI":"10.1016\/j.jbiomech.2015.04.016","volume":"48","author":"H Grip","year":"2015","unstructured":"Grip H, Tengman E, H\u00e4ger CK (2015) Dynamic knee stability estimated by finite helical axis methods during functional performance approximately twenty years after anterior cruciate ligament injury. J Biomech 48:1906\u20131914. https:\/\/doi.org\/10.1016\/j.jbiomech.2015.04.016","journal-title":"J Biomech"},{"key":"2576_CR31","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.jbiomech.2019.03.021","volume":"88","author":"KI Barton","year":"2019","unstructured":"Barton KI, Shekarforoush M, Heard BJ et al (2019) Three-dimensional in vivo kinematics and finite helical axis variables of the ovine stifle joint following partial anterior cruciate ligament transection. J Biomech 88:78\u201387. https:\/\/doi.org\/10.1016\/j.jbiomech.2019.03.021","journal-title":"J Biomech"},{"key":"2576_CR32","volume-title":"Human motor control","author":"D Rosenbaum","year":"2009","unstructured":"Rosenbaum D (2009) Human motor control, 2nd edn. Academic Press","edition":"2"},{"key":"2576_CR33","doi-asserted-by":"publisher","unstructured":"Markstr\u00f6m JL, Grip H, Schelin L, H\u00e4ger CK (2019) Dynamic knee control and movement strategies in athletes and non-athletes in side hops: implications for knee injury. Scand J Med Sci Sports 29:sms.13432. https:\/\/doi.org\/10.1111\/sms.13432","DOI":"10.1111\/sms.13432"},{"key":"2576_CR34","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1007\/s11517-007-0174-1","volume":"45","author":"A Wolf","year":"2007","unstructured":"Wolf A, Degani A (2007) Recognizing knee pathologies by classifying instantaneous screws of the six degrees-of-freedom knee motion. Med Biol Eng Comput 45:475\u2013482. https:\/\/doi.org\/10.1007\/s11517-007-0174-1","journal-title":"Med Biol Eng Comput"},{"key":"2576_CR35","doi-asserted-by":"publisher","first-page":"126581","DOI":"10.1016\/j.colsurfa.2021.126581","volume":"621","author":"W Qin","year":"2021","unstructured":"Qin W, Kolooshani A, Kolahdooz A et al (2021) Coating the magnesium implants with reinforced nanocomposite nanoparticles for use in orthopedic applications. Colloids Surfaces A Physicochem Eng Asp 621:126581. https:\/\/doi.org\/10.1016\/j.colsurfa.2021.126581","journal-title":"Colloids Surfaces A Physicochem Eng Asp"},{"key":"2576_CR36","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/s00590-019-02530-3","volume":"30","author":"S Esmaeili","year":"2020","unstructured":"Esmaeili S, Akbari Aghdam H, Motififard M et al (2020) A porous polymeric\u2013hydroxyapatite scaffold used for femur fractures treatment: fabrication, analysis, and simulation. Eur J Orthop Surg Traumatol 30:123\u2013131. https:\/\/doi.org\/10.1007\/s00590-019-02530-3","journal-title":"Eur J Orthop Surg Traumatol"},{"key":"2576_CR37","doi-asserted-by":"publisher","first-page":"1681","DOI":"10.1007\/s11517-020-02157-1","volume":"58","author":"A Bagherifard","year":"2020","unstructured":"Bagherifard A, Joneidi Yekta H, Akbari Aghdam H et al (2020) Improvement in osseointegration of tricalcium phosphate-zircon for orthopedic applications: an in vitro and in vivo evaluation. Med Biol Eng Comput 58:1681\u20131693. https:\/\/doi.org\/10.1007\/s11517-020-02157-1","journal-title":"Med Biol Eng Comput"},{"key":"2576_CR38","doi-asserted-by":"publisher","unstructured":"Mill\u00e1n Vaquero RM, Vais A, Dean Lynch S et al (2016) Helical axis data visualization and analysis of the knee joint articulation. J Biomech Eng 138. https:\/\/doi.org\/10.1115\/1.4034005","DOI":"10.1115\/1.4034005"},{"key":"2576_CR39","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0268-0033(98)00057-6","volume":"14","author":"M Stokdijk","year":"1999","unstructured":"Stokdijk M, Meskers CGM, Veeger HEJ et al (1999) Determination of the optimal elbow axis for evaluation of placement of prostheses. Clin Biomech 14:177\u2013184. https:\/\/doi.org\/10.1016\/S0268-0033(98)00057-6","journal-title":"Clin Biomech"},{"key":"2576_CR40","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.jbiomech.2004.03.009","volume":"38","author":"MH Schwartz","year":"2005","unstructured":"Schwartz MH, Rozumalski A (2005) A new method for estimating joint parameters from motion data. J Biomech 38:107\u2013116. https:\/\/doi.org\/10.1016\/j.jbiomech.2004.03.009","journal-title":"J Biomech"},{"key":"2576_CR41","doi-asserted-by":"publisher","first-page":"3131","DOI":"10.1109\/TBME.2013.2268938","volume":"60","author":"A Barre","year":"2013","unstructured":"Barre A, Thiran J-P, Jolles BM et al (2013) Soft tissue artifact assessment during treadmill walking in subjects with total knee arthroplasty. IEEE Trans Biomed Eng 60:3131\u20133140. https:\/\/doi.org\/10.1109\/TBME.2013.2268938","journal-title":"IEEE Trans Biomed Eng"},{"key":"2576_CR42","doi-asserted-by":"publisher","unstructured":"Zumbrunn T, Sch\u00fctz P, von Knoch F et al (2019) Medial unicompartmental knee arthroplasty in ACL-deficient knees is a viable treatment option: in vivo kinematic evaluation using a moving fluoroscope. Knee Surgery, Sport Traumatol Arthrosc. https:\/\/doi.org\/10.1007\/s00167-019-05594-0","DOI":"10.1007\/s00167-019-05594-0"},{"key":"2576_CR43","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1177\/0954411916632491","volume":"230","author":"M Akbari Shandiz","year":"2016","unstructured":"Akbari Shandiz M, Boulos P, Saevarsson SK et al (2016) Changes in knee kinematics following total knee arthroplasty. Proc Inst Mech Eng Part H J Eng Med 230:265\u2013278. https:\/\/doi.org\/10.1177\/0954411916632491","journal-title":"Proc Inst Mech Eng Part H J Eng Med"},{"key":"2576_CR44","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1016\/S0966-6362(97)01110-7","volume":"6","author":"C Reinschmidt","year":"1997","unstructured":"Reinschmidt C, van den Bogert A, Lundberg A et al (1997) Tibiofemoral and tibiocalcaneal motion during walking: external vs. skeletal markers. Gait Posture 6:98\u2013109. https:\/\/doi.org\/10.1016\/S0966-6362(97)01110-7","journal-title":"Gait Posture"},{"key":"2576_CR45","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1016\/S0268-0033(99)00015-7","volume":"14","author":"DK Ramsey","year":"1999","unstructured":"Ramsey DK, Wretenberg PF (1999) Biomechanics of the knee: methodological considerations in the in vivo kinematic analysis of the tibiofemoral and patellofemoral joint. Clin Biomech 14:595\u2013611. https:\/\/doi.org\/10.1016\/S0268-0033(99)00015-7","journal-title":"Clin Biomech"},{"key":"2576_CR46","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1016\/0167-9457(91)90046-Z","volume":"10","author":"RB Davis","year":"1991","unstructured":"Davis RB, Ounpuu S, Gage JR (1991) A gait analysis data collection and reduction technique. Hum Mov Sci 10:575\u2013587","journal-title":"Hum Mov Sci"},{"key":"2576_CR47","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/j.gaitpost.2007.11.009","volume":"28","author":"A Ferrari","year":"2008","unstructured":"Ferrari A, Benedetti MG, Pavan E et al (2008) Quantitative comparison of five current protocols in gait analysis. Gait Posture 28:207\u2013216. https:\/\/doi.org\/10.1016\/j.gaitpost.2007.11.009","journal-title":"Gait Posture"},{"key":"2576_CR48","doi-asserted-by":"publisher","first-page":"1159","DOI":"10.1016\/S0021-9290(03)00087-3","volume":"36","author":"TF Besier","year":"2003","unstructured":"Besier TF, Sturnieks DL, Alderson JA, Lloyd DG (2003) Repeatability of gait data using a functional hip joint centre and a mean helical knee axis. J Biomech 36:1159\u20131168. https:\/\/doi.org\/10.1016\/S0021-9290(03)00087-3","journal-title":"J Biomech"},{"key":"2576_CR49","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.jbiomech.2019.03.018","volume":"88","author":"F Temporiti","year":"2019","unstructured":"Temporiti F, Furone R, Cescon C et al (2019) Dispersion of helical axes during shoulder movements in young and elderly subjects. J Biomech 88:72\u201377. https:\/\/doi.org\/10.1016\/j.jbiomech.2019.03.018","journal-title":"J Biomech"},{"key":"2576_CR50","doi-asserted-by":"publisher","first-page":"102866","DOI":"10.1016\/j.humov.2021.102866","volume":"80","author":"A Ancillao","year":"2021","unstructured":"Ancillao A, Aertbeli\u00ebn E, De Schutter J (2021) Effect of the soft tissue artifact on marker measurements and on the calculation of the helical axis of the knee during a gait cycle: a study on the CAMS-Knee data set. Hum Mov Sci 80:102866. https:\/\/doi.org\/10.1016\/j.humov.2021.102866","journal-title":"Hum Mov Sci"},{"key":"2576_CR51","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1016\/j.medengphy.2010.03.007","volume":"32","author":"J Rueterbories","year":"2010","unstructured":"Rueterbories J, Spaich EG, Larsen B, Andersen OK (2010) Methods for gait event detection and analysis in ambulatory systems. Med Eng Phys 32:545\u2013552. https:\/\/doi.org\/10.1016\/j.medengphy.2010.03.007","journal-title":"Med Eng Phys"},{"key":"2576_CR52","doi-asserted-by":"publisher","first-page":"2564","DOI":"10.3390\/s18082564","volume":"18","author":"A Ancillao","year":"2018","unstructured":"Ancillao A, Tedesco S, Barton J, O\u2019Flynn B (2018) Indirect measurement of ground reaction forces and moments by means of wearable inertial sensors: a systematic review. Sensors 18:2564. https:\/\/doi.org\/10.3390\/s18082564","journal-title":"Sensors"},{"key":"2576_CR53","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1016\/j.gaitpost.2004.01.010","volume":"21","author":"A Cappozzo","year":"2005","unstructured":"Cappozzo A, Della Croce U, Leardini A, Chiari L (2005) Human movement analysis using stereophotogrammetry part 1: theoretical background. Gait Posture 21:186\u2013196. https:\/\/doi.org\/10.1016\/j.gaitpost.2004.01.010","journal-title":"Gait Posture"},{"key":"2576_CR54","doi-asserted-by":"publisher","first-page":"49","DOI":"10.3390\/s20010049","volume":"20","author":"A Ancillao","year":"2019","unstructured":"Ancillao A, Vochten M, Aertbeli\u00ebn E et al (2019) Estimating the instantaneous screw axis and the screw axis invariant descriptor of motion by means of inertial sensors: an experimental study with a mechanical hinge joint and comparison to the optoelectronic system. Sensors 20:49. https:\/\/doi.org\/10.3390\/s20010049","journal-title":"Sensors"},{"key":"2576_CR55","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1016\/0021-9290(80)90020-2","volume":"13","author":"CW Spoor","year":"1980","unstructured":"Spoor CW, Veldpaus FE (1980) Rigid body motion calculated from spatial co-ordinates of markers. J Biomech 13:391\u2013393. https:\/\/doi.org\/10.1016\/0021-9290(80)90020-2","journal-title":"J Biomech"},{"key":"2576_CR56","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.jbiomech.2018.04.046","volume":"75","author":"M Shekarforoush","year":"2018","unstructured":"Shekarforoush M, Beveridge JE, Hart DA et al (2018) Correlation between translational and rotational kinematic abnormalities and osteoarthritis-like damage in two in vivo sheep injury models. J Biomech 75:67\u201376. https:\/\/doi.org\/10.1016\/j.jbiomech.2018.04.046","journal-title":"J Biomech"},{"key":"2576_CR57","doi-asserted-by":"publisher","first-page":"011004","DOI":"10.1115\/1.4000524","volume":"2","author":"J De Schutter","year":"2010","unstructured":"De Schutter J (2010) Invariant description of rigid body motion trajectories. J Mech Robot 2:011004. https:\/\/doi.org\/10.1115\/1.4000524","journal-title":"J Mech Robot"},{"key":"2576_CR58","doi-asserted-by":"publisher","first-page":"1400","DOI":"10.1016\/j.jbiomech.2010.12.009","volume":"44","author":"RM Ehrig","year":"2011","unstructured":"Ehrig RM, Heller MO, Kratzenstein S et al (2011) The SCoRE residual: a quality index to assess the accuracy of joint estimations. J Biomech 44:1400\u20131404. https:\/\/doi.org\/10.1016\/j.jbiomech.2010.12.009","journal-title":"J Biomech"},{"key":"2576_CR59","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1016\/j.jbiomech.2018.12.034","volume":"84","author":"RM Ehrig","year":"2019","unstructured":"Ehrig RM, Heller MO (2019) On intrinsic equivalences of the finite helical axis, the instantaneous helical axis, and the SARA approach. A mathematical perspective. J Biomech 84:4\u201310. https:\/\/doi.org\/10.1016\/j.jbiomech.2018.12.034","journal-title":"J Biomech"},{"key":"2576_CR60","unstructured":"Graf B (2008) Quaternions and dynamics. arXiv 2008:"},{"key":"2576_CR61","doi-asserted-by":"publisher","first-page":"109924","DOI":"10.1016\/j.jbiomech.2020.109924","volume":"109","author":"RL Lawrence","year":"2020","unstructured":"Lawrence RL, Ruder MC, Zauel R, Bey MJ (2020) Instantaneous helical axis estimation of glenohumeral kinematics: the impact of rotator cuff pathology. J Biomech 109:109924. https:\/\/doi.org\/10.1016\/j.jbiomech.2020.109924","journal-title":"J Biomech"},{"key":"2576_CR62","doi-asserted-by":"publisher","first-page":"1341","DOI":"10.1109\/TBME.2004.828051","volume":"51","author":"H Mannel","year":"2004","unstructured":"Mannel H, Marin F, Claes L, D\u00fcrselen L (2004) Establishment of a knee-joint coordinate system from helical axes analysis - a kinematic approach without anatomical referencing. IEEE Trans Biomed Eng 51:1341\u20131347. https:\/\/doi.org\/10.1109\/TBME.2004.828051","journal-title":"IEEE Trans Biomed Eng"},{"key":"2576_CR63","doi-asserted-by":"publisher","first-page":"628","DOI":"10.1016\/j.jelekin.2014.05.004","volume":"24","author":"C Cescon","year":"2014","unstructured":"Cescon C, Cattrysse E, Barbero M (2014) Methodological analysis of finite helical axis behavior in cervical kinematics. J Electromyogr Kinesiol 24:628\u2013635. https:\/\/doi.org\/10.1016\/j.jelekin.2014.05.004","journal-title":"J Electromyogr Kinesiol"},{"key":"2576_CR64","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1007\/s00167-011-1604-z","volume":"20","author":"F Colle","year":"2012","unstructured":"Colle F, Bignozzi S, Lopomo N et al (2012) Knee functional flexion axis in osteoarthritic patients: comparison in vivo with transepicondylar axis using a navigation system. Knee Surgery, Sport Traumatol Arthrosc 20:552\u2013558. https:\/\/doi.org\/10.1007\/s00167-011-1604-z","journal-title":"Knee Surgery, Sport Traumatol Arthrosc"},{"key":"2576_CR65","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1097\/00003086-199811000-00016","volume":"356","author":"DL Churchill","year":"1998","unstructured":"Churchill DL, Incavo SJ, Johnson CC, Beynnon BD (1998) The transepicondylar axis approximates the optimal flexion axis of the knee. Clin Orthop Relat Res 356:111\u2013118. https:\/\/doi.org\/10.1097\/00003086-199811000-00016","journal-title":"Clin Orthop Relat Res"},{"key":"2576_CR66","doi-asserted-by":"publisher","first-page":"855","DOI":"10.1016\/j.jbiomech.2012.12.015","volume":"46","author":"H Grip","year":"2013","unstructured":"Grip H, H\u00e4ger C (2013) A new approach to measure functional stability of the knee based on changes in knee axis orientation. J Biomech 46:855\u2013862. https:\/\/doi.org\/10.1016\/j.jbiomech.2012.12.015","journal-title":"J Biomech"},{"key":"2576_CR67","doi-asserted-by":"publisher","first-page":"1219","DOI":"10.1016\/0021-9290(90)90379-H","volume":"23","author":"L Blankevoort","year":"1990","unstructured":"Blankevoort L, Huiskes R, de Lange A (1990) Helical axes of passive knee joint motions. J Biomech 23:1219\u20131229. https:\/\/doi.org\/10.1016\/0021-9290(90)90379-H","journal-title":"J Biomech"},{"key":"2576_CR68","doi-asserted-by":"publisher","first-page":"1163","DOI":"10.1088\/0957-0233\/13\/8\/301","volume":"13","author":"YK Thong","year":"2002","unstructured":"Thong YK, Woolfson MS, Crowe JA et al (2002) Dependence of inertial measurements of distance on accelerometer noise. Meas Sci Technol 13:1163\u20131172. https:\/\/doi.org\/10.1088\/0957-0233\/13\/8\/301","journal-title":"Meas Sci Technol"},{"issue":"226\u2013229","key":"2576_CR69","first-page":"10.12915\/pe.201","volume":"90","author":"J Smo\u0142ka","year":"2014","unstructured":"Smo\u0142ka J, Skublewska-Paszkowska M (2014) Comparison of interpolation methods based on real human motion data. Prz Elektrotechniczny 90(226\u2013229):10.12915\/pe.2014.10.54","journal-title":"Prz Elektrotechniczny"},{"key":"2576_CR70","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/j.gaitpost.2018.01.009","volume":"61","author":"J Cl\u00e9ment","year":"2018","unstructured":"Cl\u00e9ment J, de Guise JA, Fuentes A, Hagemeister N (2018) Comparison of soft tissue artifact and its effects on knee kinematics between non-obese and obese subjects performing a squatting activity recorded using an exoskeleton. Gait Posture 61:197\u2013203. https:\/\/doi.org\/10.1016\/j.gaitpost.2018.01.009","journal-title":"Gait Posture"}],"container-title":["Medical &amp; Biological Engineering &amp; Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-022-02576-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11517-022-02576-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-022-02576-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,24]],"date-time":"2022-06-24T03:40:25Z","timestamp":1656042025000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11517-022-02576-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,12]]},"references-count":70,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2022,7]]}},"alternative-id":["2576"],"URL":"https:\/\/doi.org\/10.1007\/s11517-022-02576-2","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,12]]},"assertion":[{"value":"2 November 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 April 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 May 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The author declares no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}