Exact(7)
The nonlinear equations of motion of the gyroscope are formulated using two different sets of orientation parameters: Euler angles and Euler parameters.
Different MBS algorithms, however, employ different sets of orientation coordinates, such as Euler angles and Euler parameters, which lead to different forms of the dynamic equations of motion.
In order to demonstrate the significant differences between the eigenvalue solutions associated with two different sets of orientation parameters, a simple rotating disk example is considered in this study.
As shown in this investigation, the frequencies associated with different sets of orientation parameters can differ significantly, and rigid body motion can be associated with non-zero oscillation frequencies, depending on the coordinates used.
A time-domain solution of the linearized equations is also presented in order to compare between the solutions obtained using two different sets of orientation parameters and also to shed light on the important issue of using the eigenvalue analysis in the study of MBS stability.
This resulted in 6 sets of orientation tuning curves: for low, medium and high contrast in the mixed contrasts condition, for low, medium and high contrast in the constant contrast condition, restricted to the adapted response only.
Similar(53)
Despite the complexity of the various phases and their transformation upon cooling, the experimental analysis of all the orientation relationships (cubic hexagonal and hexagonal hexagonal) found in this system yields only three sets of orientations characterised by the parallelism of low index planes and directions.
These are small circular patches in the centre of each set of orientation columns, and their cells respond to differences in colour within their receptive fields; they do not respond to lines or edges.
Each circular set of orientation columns represents a point in the image, and these points are laid out across the cortex in a map that corresponds to the layout in the retina (retinotopic mapping).
Generation of keypoint descriptor: A set of orientation histograms are created on 4×4 pixel neighborhoods.
This includes both the horizontal and vertical responses, which yield a set of orientation vectors.
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