Rigid body motion calculated from spatial co-ordinates of markers

Spoor, C.W.; Veldpaus, FE Frans

doi:10.1016/0021-9290(80)90020-2

Cited by 513 publications

(243 citation statements)

References 2 publications

(1 reference statement)

Supporting

Mentioning

240

Contrasting

Unclassified

Order By: Relevance

“…Although these methods have advantages and disadvantages, each is dependent on the research question. fiames, a CO-ordinate transformation rnatrix consisting of three rotational and three translational degrees of freedom is employed to resolve the femoral anatomical CO-ordinate system into the tibial anatomical CO-ordinate system (Lenox and Cwzi, 1978;Spoor and Veldpaus, 1980;Sdderkvist and Wedin, 1993).…”

Section: Roen Tgen-stereo-photogrammetric Analysismentioning

confidence: 99%

Assessment of functional knee bracing: an in vivo three-dimensional kinematic analysis of the anterior cruciate deficient knee

Ramsey¹,

Lamontagne²,

Wretenberg³

et al. 2001

Clinical Biomechanics

View full text Add to dashboard Cite

Section: Roen Tgen-stereo-photogrammetric Analysismentioning

confidence: 99%

Assessment of functional knee bracing: an in vivo three-dimensional kinematic analysis of the anterior cruciate deficient knee

Ramsey¹,

Lamontagne²,

Wretenberg³

et al. 2001

Clinical Biomechanics

View full text Add to dashboard Cite

“…This matrix is given by Some of the disadvantages of the algorithm of Spoor and Veldpaus (1980), especially the calculation of the eigenvectors of a 3*3 matrix, are avoided here. Furthermore, the formulation in this paper is more suitable for analyzing the sensitivity of the kinematical parameters to small disturbances in the measured coordinates of the markers.…”

Section: Imentioning

confidence: 99%

“…Then i follows from (4.3) and (4.5) and fi must be determined from G = 8fi. This (more or less conventional) approach was followed by Spoor and Veldpaus (1980). However, fi itself is of no interest and it will be shown that i?…”

Section: Determination Of the Rotation Matrixmentioning

confidence: 99%

“…that characterize the motion from time tI to time t2 (Rodrigues, 1840;Kinzel et al, 1972;Selvik, 1974;Chao, 1978;Panjabi and White, 1971;Youm and Yoon, 1979;Spoor and Veldpaus, 1980 etc.). The method to be discussed in this paper comes close to the method given by Spoor and Veldpaus (1980). An unweighted least-squares method is employed to determine the primary unknowns, being a translation vector r and the rotation matrix R of the bone at time t2 with respect to time t, All other kinematical parameters, like the helical axis, are secondary unknowns that can be estimated as soon as r and R are known.…”

mentioning

confidence: 99%

See 1 more Smart Citation

A least-squares algorithm for the equiform transformation from spatial marker co-ordinates

Veldpaus

Woltring

Dortmans

1988

Journal of Biomechanics

Self Cite

337

183

View full text Add to dashboard Cite

“…1). As the landmarks are defined both in the 3D space and on the model, we can use a simple registration algorithm for corresponding points to find the initial pose of the model in the 3D space [24]. L i(M) is the landmark on the model surface, the similarity transformationT w 0 m (rotation R, translation t and scaling factor s) transforms the model landmarks into L i(SSM ) (Fig.…”

Section: Shape Pose Initializationmentioning

confidence: 99%

Fluoroscopy-based tracking of femoral kinematics with statistical shape models

Valenti

Momi

et al. 2015

Int J CARS

View full text Add to dashboard Cite

Abstract:Purpose Precise knee kinematics assessment helps to diagnose knee pathologies and to improve the design of customized prosthetic components. The first step in identifying knee kinematics is to assess the femoral motion in the anatomical frame. However, no work has been done on pathological femurs, whose shape can be highly different from healthy ones. Method We propose a new femoral tracking technique based on Statistical Shape Models (SSMs) and two calibrated fluoroscopic images, taken at different flexion-extension angles. The cost function optimization is based on genetic algorithms, to avoid local minima. The proposed approach was evaluated on 3 sets of digitally reconstructed radiographic images of osteoarthritic patients. Results It is found that using the estimated shape, rather than that calculated from CT, significantly reduces the pose accuracy, but still has reasonably good results (angle errors around 2 degrees, translation around 1.5mm). Cover Letter. Powered by Editorial Manager® and ProduXion Manager® from Aries Systems CorporationThe authors thank the reviewers and the editor for their interest in this topic and for giving them the possibility to improve the paper with their comments. Hereunder we answer the questions arisen, with indications on the changes made to the manuscript According to the reviewer comment, we modified the text in the "State of the Art" section as follows:"Knee kinematics assessment has great importance both to understand the problems associated with a large number of knee pathologies and to improve the design of prosthetic components. In case of severe osteoarthritis, that are eligible for joint implant surgery, in vivo pre-operatory knee kinematics is fundamental to understand the relative motion between the three joint bones. The relative movement can give an insight of how the ligaments are stretched and their stability, and how could be the feeling for the patient. In this way, pre operatory knee kinematics could help the surgeon to decide which prosthesis should be used and how to correct the misalignment of the bones [3]. Currently, the reconstruction of the pose of the knee can be done using 3D scans such as real-time Magnetic Resonance Imaging (MRI) or through a 2D/3D registration method that superimposes the shape extracted from MRI or Computed Tomography (CT) onto an image, usually X-ray or fluoroscopy. Real-time MRI is suitable to study joint kinematics, as it evidences the muscle structure during movements. However, it can only be used with relatively slow movements, and the accuracy obtained increases from 1mm to more than 3mm depending on the velocity of the movement. In addition, MRI scans are highly expensive [4]. Traditional CT and MRI provide an accurate evaluation of the morphology of the knee, but are limited to static positioning of the patient.[…]The use of dynamic fluoroscopy to detect knee kinematics is described in [12]. The authors use a fluoroscopic system flashing at 30Hz, obtaining continuous images of the knee flexion from 0° to 120°...

show abstract

Rigid body motion calculated from spatial co-ordinates of markers

Cited by 513 publications

References 2 publications

Assessment of functional knee bracing: an in vivo three-dimensional kinematic analysis of the anterior cruciate deficient knee

Assessment of functional knee bracing: an in vivo three-dimensional kinematic analysis of the anterior cruciate deficient knee

A least-squares algorithm for the equiform transformation from spatial marker co-ordinates

Fluoroscopy-based tracking of femoral kinematics with statistical shape models

Contact Info

Product

Resources

About