Discrete movements in the horizontal plane as a function of their length and direction.

Brown, Judson S.; Slater-Hammel, A. T.

doi:10.1037/h0062478

Cited by 64 publications

(23 citation statements)

References 2 publications

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“…Moreover, if the relationship is plotted on a log-log scale, it can also be approximated with a straight line for some specific distance intervals. Such an observation has been reported by Brown and Slater-Hammel (1949). Similar predictions are also made for the relationship between the mean velocity of the dominant peak as a function of the distance covered, in accordance with the linear approximation reported by Brook (1974), Brown and Slater-Hammel (1949), and Freund and Beudingen (1978).…”

Section: The Delta-lognormal Lawsupporting

confidence: 76%

“…Woodworth attributed the effect of movement speed on accuracy to the characteristics of current control and eliminated any effects on the accuracy of the initial adjustment. Following Woodworth's work, many investigators pursued descriptions of speed/accuracy functions (Brown & Slater-Hammel 1949;Craik & Vince 1943/1963a1944/ 1963bGarrett 1922;Philip 1936;Searle & Taylor 1948. See also Meyer et al, 1990, for a historical review).…”

Section: Introductionmentioning

confidence: 99%

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Distance versus position information in the control of aiming movements

Wieringen¹,

Beek²

1997

Behav Brain Sci

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Abstract:This target article presents a critical survey of the scientific literature dealing with the speed/accuracy trade-offs in rapid-aimed movements. It highlights the numerous mathematical and theoretical interpretations that have been proposed in recent decades. Although the variety of points of view reflects the richness of the field and the high degree of interest that such basic phenomena attract in the understanding of human movements, it calls into question the ability of 'many models to explain the basic observations consistently reported in the field. This target article summarizes the kinematic theory of rapid human movements, proposed recently by R. Plamondon (1993b; 1993c;, and analyzes its predictions in the context of speed/accuracy trade-offs. Data from human movement literature are reanalyzed and reinterpreted in the context of the new theory. It is shown that the various aspects of speed/accuracy tradeoffs can be taken into account by considering the asymptotic behavior of a large number of coupled linear systems, from which a deltalognormal law can be derived to describe the velocity profile of an end-effector driven by a neuromuscular synergy. This law not only describes velocity profiles almost perfectly, it also predicts the kinematic properties of simple rapid movements and provides a consistent framework for the analysis of different types of speed/accuracy trade-offs using a quadratic (or power) law that emerges from the model.

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Section: The Delta-lognormal Lawsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Distance versus position information in the control of aiming movements

Wieringen¹,

Beek²

1997

Behav Brain Sci

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“…Please note forms of corrective actions that are consistent with secondary adjustive movements (Fig. 2, Brown and Slater-Hammel 1949)…”

Section: Figmentioning

confidence: 88%

Pointing with the ankle: the speed-accuracy trade-off

Michmizos

Krebs

2013

Exp Brain Res

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This study investigated the trade-off between speed and accuracy in pointing movements with the ankle during goal-directed movements in dorsal–plantar (DP) and inversion–eversion (IE). Nine subjects completed a series of discrete pointing movements with the ankle between spatial targets of varying difficulty. Six different target sets were presented, with a range of task difficulty between 2.2 and 3.8 bits of information. Our results demonstrated that for visually evoked, visually guided discrete DP and IE ankle pointing movements, performance can be described by a linear function, as predicted by Fitts’ law. These results support our ongoing effort to develop an adaptive algorithm employing the speed-accuracy trade-off concept to control our pediatric anklebot while delivering therapy for children with cerebral palsy.

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“…There is a relationship between the maximum velocity and~ the distance covered, that is, higher peak velocities are reached when the distance to be moved is increased (Binet and Courtier 1893;Freeman 1914;Brown and Cooke 1981;Jeannerod 1984;Hoffman and Strick 1986;Milner 1986;Mustard and Lee 1987;Nagasaki 1989;Goggin and Stelmach 1990). Moreover, Brown and Slater-Hammel (1949) have also found that the relationship between the maximum velocity and the movement amplitude could be fitted by a straight line, on a log-log scale, at least for a specific range of displacements, while Wadman et al (1979), Jeannerod (1984), and Milner (1986 have shown that there is a linear relationship between the maximum velocity and the distance, with a positive intercept. Moreover, Brown and Slater-Hammel (1949) have also found that the relationship between the maximum velocity and the movement amplitude could be fitted by a straight line, on a log-log scale, at least for a specific range of displacements, while Wadman et al (1979), Jeannerod (1984), and Milner (1986 have shown that there is a linear relationship between the maximum velocity and the distance, with a positive intercept.…”

Section: Introductionmentioning

confidence: 97%

A kinematic theory of rapid human movements: Part I. Movement representation and generation

1995

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This paper proposes a kinematic theory that can be used to study and analyze rapid human movements. It describes a synergy in terms of the agonist and antagonist neuromuscular systems involved in the production of these movements. It is shown that these systems have a log-normal impulse response that results from the limiting behavior of a large number of interdependent neuromuscular networks, as predicted by the central limit theorem. The delta log-normal law that follows from this model is very general and can reproduce almost perfectly the complete velocity patterns of an end-effector. The theory accounts for the invariance and rescalability of these patterns, as well as for the various observations that have been reported concerning the change in maximum and mean velocities, time to maximum velocity, etc., under different experimental conditions. Movement time, load effects, and control strategies are discussed in a companion paper.

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Discrete movements in the horizontal plane as a function of their length and direction.

Cited by 64 publications

References 2 publications

Distance versus position information in the control of aiming movements

Distance versus position information in the control of aiming movements

Pointing with the ankle: the speed-accuracy trade-off

A kinematic theory of rapid human movements: Part I. Movement representation and generation

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