Details
Original language | English |
---|---|
Article number | 94501 |
Number of pages | 9 |
Journal | Journal of Biomechanical Engineering |
Volume | 138 |
Issue number | 9 |
Early online date | 22 Jul 2016 |
Publication status | Published - Sept 2016 |
Abstract
We present processing methods and visualization techniques for accurately characterizing and interpreting kinematical data of flexion-extension motion of the knee joint based on helical axes. We make use of the Lie group of rigid body motions and particularly its Lie algebra for a natural representation of motion sequences. This allows to analyze and compute the finite helical axis (FHA) and instantaneous helical axis (IHA) in a unified way without redundant degrees of freedom or singularities. A polynomial fitting based on Legendre polynomials within the Lie algebra is applied to provide a smooth description of a given discrete knee motion sequence which is essential for obtaining stable instantaneous helical axes for further analysis. Moreover, this allows for an efficient overall similarity comparison across several motion sequences in order to differentiate among several cases. Our approach combines a specifically designed patient-specific threedimensional visualization basing on the processed helical axes information and incorporating computed tomography (CT) scans for an intuitive interpretation of the axes and their geometrical relation with respect to the knee joint anatomy. In addition, in the context of the study of diseases affecting the musculoskeletal articulation, we propose to integrate the above tools into a multiscale framework for exploring related data sets distributed across multiple spatial scales. We demonstrate the utility of our methods, exemplarily processing a collection of motion sequences acquired from experimental data involving several surgery techniques. Our approach enables an accurate analysis, visualization and comparison of knee joint articulation, contributing to the evaluation and diagnosis in medical applications.
Keywords
- helical axis of motion, knee joint, multiscale exploration, rigid body motions, visualization
ASJC Scopus subject areas
- Engineering(all)
- Biomedical Engineering
- Medicine(all)
- Physiology (medical)
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In: Journal of Biomechanical Engineering, Vol. 138, No. 9, 94501, 09.2016.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Helical Axis Data Visualization and Analysis of the Knee Joint Articulation
AU - Millán Vaquero, Ricardo Manuel
AU - Vais, Alexander
AU - Lynch, Sean Dean
AU - Rzepecki, Jan
AU - Friese, Karl Ingo
AU - Hurschler, Christof
AU - Wolter, Franz Erich
N1 - Publisher Copyright: © Copyright 2016 by ASME.
PY - 2016/9
Y1 - 2016/9
N2 - We present processing methods and visualization techniques for accurately characterizing and interpreting kinematical data of flexion-extension motion of the knee joint based on helical axes. We make use of the Lie group of rigid body motions and particularly its Lie algebra for a natural representation of motion sequences. This allows to analyze and compute the finite helical axis (FHA) and instantaneous helical axis (IHA) in a unified way without redundant degrees of freedom or singularities. A polynomial fitting based on Legendre polynomials within the Lie algebra is applied to provide a smooth description of a given discrete knee motion sequence which is essential for obtaining stable instantaneous helical axes for further analysis. Moreover, this allows for an efficient overall similarity comparison across several motion sequences in order to differentiate among several cases. Our approach combines a specifically designed patient-specific threedimensional visualization basing on the processed helical axes information and incorporating computed tomography (CT) scans for an intuitive interpretation of the axes and their geometrical relation with respect to the knee joint anatomy. In addition, in the context of the study of diseases affecting the musculoskeletal articulation, we propose to integrate the above tools into a multiscale framework for exploring related data sets distributed across multiple spatial scales. We demonstrate the utility of our methods, exemplarily processing a collection of motion sequences acquired from experimental data involving several surgery techniques. Our approach enables an accurate analysis, visualization and comparison of knee joint articulation, contributing to the evaluation and diagnosis in medical applications.
AB - We present processing methods and visualization techniques for accurately characterizing and interpreting kinematical data of flexion-extension motion of the knee joint based on helical axes. We make use of the Lie group of rigid body motions and particularly its Lie algebra for a natural representation of motion sequences. This allows to analyze and compute the finite helical axis (FHA) and instantaneous helical axis (IHA) in a unified way without redundant degrees of freedom or singularities. A polynomial fitting based on Legendre polynomials within the Lie algebra is applied to provide a smooth description of a given discrete knee motion sequence which is essential for obtaining stable instantaneous helical axes for further analysis. Moreover, this allows for an efficient overall similarity comparison across several motion sequences in order to differentiate among several cases. Our approach combines a specifically designed patient-specific threedimensional visualization basing on the processed helical axes information and incorporating computed tomography (CT) scans for an intuitive interpretation of the axes and their geometrical relation with respect to the knee joint anatomy. In addition, in the context of the study of diseases affecting the musculoskeletal articulation, we propose to integrate the above tools into a multiscale framework for exploring related data sets distributed across multiple spatial scales. We demonstrate the utility of our methods, exemplarily processing a collection of motion sequences acquired from experimental data involving several surgery techniques. Our approach enables an accurate analysis, visualization and comparison of knee joint articulation, contributing to the evaluation and diagnosis in medical applications.
KW - helical axis of motion
KW - knee joint
KW - multiscale exploration
KW - rigid body motions
KW - visualization
UR - http://www.scopus.com/inward/record.url?scp=84980350599&partnerID=8YFLogxK
U2 - 10.1115/1.4034005
DO - 10.1115/1.4034005
M3 - Article
C2 - 27367532
AN - SCOPUS:84980350599
VL - 138
JO - Journal of Biomechanical Engineering
JF - Journal of Biomechanical Engineering
SN - 0148-0731
IS - 9
M1 - 94501
ER -