Segmentation and coupling in complex movements.

By Paolo Viviani, M. Cenzato. 1985

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Citations in the corpus

Dynamic Movement Primitives -A Framework for Motor Control in Humans and Humanoid Robotics (2006, background): “” Viviani and Cenzato [44] found that planar elliptical drawing patterns are characterized by a single k and, therefore, consist of one unit of action.”
Biological movements look uniform: evidence of motor-perceptual interactions. (1992, background): “Changes in K tend to occur either at points of inflections or at the junction between figural units (Lacquaniti, Terzuolo, & Viviani, 1 984; Viviani, 1986; Viviani & Cenzato, 1985).”
Segmentation of endpoint trajectories does not imply segmented control (1999, background): “As Viviani and Cenzato (1985) noted, the slope of a branch in the v-r plot is related to the average tangential velocity of a movement segment.”
Segmenting sign language into motor primitives with Bayesian binning (2013, background): “It should be noted that MSD criteria are drawn from ﬁrst principles and thus provide a predictive model while the two thirds power law was mainly studied as a descriptive model (Lacquaniti et al., 1983; Viviani and Cenzato, 1985).”
Parabolic movement primitives and cortical states: merging optimality with geometric invariance (2009, background): “Noting that A =˙ sc, an equivalent relation basedonthetangentialinsteadofangularvelocityis( Viviani and Cenzato 1985 )”
Smoothness maximization along a predefined path accurately predicts the speed profiles of complex arm movements. (1998, methodology): “Viviani and Cenzato (1985) suggested that the gain is a piecewise- fixed value) or a being optimized for each individual trial of each subject (making the comparison to our model somewhatconstant function of time: in each segment it is proportional to a power function of the corresponding path…”
Dynamics systems vs. optimal control--a unifying view. (2007, background): “Viviani and Cenzato (1985) found that planar elliptical drawing patterns are characterized by a single k and, therefore, consist of one unit of action.”
Movement Timing and Invariance Arise from Several Geometries (2009, result): “3 in Text S1, the relations between c,T ,P and eccentricity for elliptic trajectories are examined from the affine point of view and compared with the theoretical derivations in the studies by [15,42] and with the experimental data from Viviani and Schneider [43].”
Models of human movement: Trajectory planning and inverse kinematics studies (2013, unknown): “Kinematic regularities may help identify motion primitives and thus a power law relation between speed and curvature may provide a systematic means of partitioning a continuous movement into distinct subunits [18].”
Three-dimensional arm movements at constant equi-affine speed. (2009, unknown): “…for planar drawing movements, it was termed the two-thirds power law (denoted 2/3-PL below), relating speed to curvature (Lacquaniti et al., 1983; Viviani and Cenzato, 1985), or more formally: v ¼ ak 1=3: (1) Here v is the movement speed, k is the curvature of the path, and a is some constant,…”
The Relationship between Curvature and Velocity in Two-Dimensional Smooth Pursuit Eye Movements (1997, background): “1 B), the value b 5 2/3 yielded Lissajous motions [i.e., ellipses generated by composition of harmonic functions (Viviani and Cenzato, 1985)].”