2015
DOI: 10.4172/2155-9538.1000163
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Linear and Nonlinear Kinematic Synergies in the Grasping Hand

Abstract: Kinematic synergies in human hand movements have shown promising applications in dexterous control of robotic and prosthetic hands. We and others have previously derived kinematic synergies from human hand grasping movements using a widely used linear dimensionality reduction method, Principal Component Analysis (PCA). As the human biomechanical system is inherently nonlinear, using nonlinear dimensionality reduction methods to derive kinematic synergies might be expected to improve the representation of human… Show more

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Cited by 22 publications
(24 citation statements)
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“…Statistic methods for dimensional reduction are used to search synergies, Principal Component Analysis (PCA) being the most widely applied since it has provided good results in hand kinematics 17 . PCA allows the original multivariate space of highly correlated variables (DoF) to be transformed into a smaller set of new uncorrelated variables (linear combinations of the original variables called synergies) explaining a high percentage of the original variability.…”
mentioning
confidence: 99%
“…Statistic methods for dimensional reduction are used to search synergies, Principal Component Analysis (PCA) being the most widely applied since it has provided good results in hand kinematics 17 . PCA allows the original multivariate space of highly correlated variables (DoF) to be transformed into a smaller set of new uncorrelated variables (linear combinations of the original variables called synergies) explaining a high percentage of the original variability.…”
mentioning
confidence: 99%
“…The possibility remains that nonlinear dimensionality reduction would reveal that hand kinematics indeed occupy a low-dimensional manifold. However, linear approaches, including PCA, have been previously shown to yield more efficient and reliable manifolds than do non-linear ones [39]. While the informativeness (condition dependence) of low-variance dimensions in non-linear manifolds was not probed in these previous studies, there is no reason to believe that a less efficient manifold in terms of explained variance would yield a more efficient representation in terms of informativeness.…”
Section: Volitional Hand Movements Are High Dimensionalmentioning
confidence: 98%
“…In other words, even though grasp and ASL occupy a different manifold than does typing, those different manifolds should, themselves, be low-dimensional. However, classification based on subsets of principal components revealed that high-rank (e.g., [20][21][22] PCs contain substantial object-and ASL sign-specific information. Indeed, kinematic trajectories projected on high-rank PCs were highly consistent within condition and different across conditions (Supplementary Figure 1).…”
Section: Volitional Hand Movements Are High Dimensionalmentioning
confidence: 99%
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“…NMF is typically used to derive neuromuscular synergies (Tresch and Jarc, 2009 ), while PCA is frequently used to derive kinematic synergies as in Mason et al ( 2001 ) and Vinjamuri et al ( 2010 ). PCA-derived kinematic synergies have been demonstrated to perform favorably when directly compared to those from other linear and non-linear dimensionality reduction methods when applied to hand grasp reconstruction (Patel et al, 2015a ).…”
Section: Introductionmentioning
confidence: 99%