Journal ArticleDOI
A fortran package for generalized, cross-validatory spline smoothing and differentiation
TLDR
A subroutine package is presented in which the amount of smoothing on a set of n noisy datapoints is determined from the data by means of the Generalized Cross-Validation or predicted Mean-Squared Error criteria of Wahba and her collaborators.About:
This article is published in Advances in Engineering Software.The article was published on 1986-04-01. It has received 987 citations till now. The article focuses on the topics: Smoothing spline & Thin plate spline.read more
Citations
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Journal ArticleDOI
Human movement analysis using stereophotogrammetry. Part 1: theoretical background.
TL;DR: An effort to systematize the different theoretical and experimental approaches to the problems involved and related nomenclatures is needed to facilitate data and knowledge sharing, and to provide renewed momentum for the advancement of human movement analysis.
Journal ArticleDOI
Motor Cortical Representation of Speed and Direction During Reaching
TL;DR: The motor cortical substrate associated with reaching was studied as monkeys moved their hands from a central position to one of eight targets spaced around a circle, and the distributions of preferred directions were found to be significantly different from cortical activity.
Journal ArticleDOI
Mechanisms for Noncontact Anterior Cruciate Ligament Injuries Knee Joint Kinematics in 10 Injury Situations From Female Team Handball and Basketball
Hideyuki Koga,Atsuo Nakamae,Yosuke Shima,Junji Iwasa,Grethe Myklebust,Lars Engebretsen,Roald Bahr,Tron Krosshaug +7 more
TL;DR: 3-dimensional knee joint kinematics in anterior cruciate ligament injury situations is described using a model-based image-matching technique and results suggest that valgus loading is a contributing factor in the anterior cruiser injury mechanism and that internal tibial rotation is coupled with valgUS motion.
Journal ArticleDOI
Using computed muscle control to generate forward dynamic simulations of human walking from experimental data
TL;DR: A residual elimination algorithm is introduced to compute pelvis and low back kinematic trajectories that ensure consistency between whole-body dynamics and measured ground reactions and a computed muscle control algorithm is used to vary muscle excitations to track experimental joint kinematics within a forward dynamic simulation.
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Repeatability of gait data using a functional hip joint centre and a mean helical knee axis.
TL;DR: The purpose of this paper was to compare the repeatability of gait data obtained from two models, one based on ALs, and the other incorporating a functional method to define hip joint centres and a mean helical axis to define knee joint flexion/extension axes (FUN model).
References
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Journal ArticleDOI
Smoothing Noisy Data with Spline Functions Estimating the Correct Degree of Smoothing by the Method of Generalized Cross-Validation*
Peter Craven,Grace Wahba +1 more
TL;DR: In this paper, a method for estimating the optimum amount of smoothing from the data is presented, based on smoothing splines, which is well known to provide nice curves which smooth discrete, noisy data.
Journal ArticleDOI
Smoothing by spline functions. II
TL;DR: In this paper, the authors generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence, which is the same as in this paper.
Journal ArticleDOI
Smoothing noisy data with spline functions
TL;DR: In this article, a generalized cross-validation estimate for smoothing polynomial splines is proposed, where the tradeoff between the "roughness" of the solution, as measured by the average square error of the smoothing spline, is defined.
Journal ArticleDOI
Bayesian "Confidence Intervals" for the Cross-validated Smoothing Spline
TL;DR: In this article, the cross-validated smoothing spline can be used to estimate g non-parametrically from a smooth function, where the error of the spline is independent with G 2 unknown.
Journal ArticleDOI
Smoothing noisy data with spline functions
Michael F. Hutchinson,F. R. Hoog +1 more
TL;DR: In this article, a procedure for calculating the trace of the influence matrix associated with a polynomial smoothing spline of degree 2m?1 fitted ton distinct, not necessarily equally spaced or uniformly weighted, data points is presented.
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