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RISConstruction of Confidence Regions for Uncertain Spatial Displacements With Dual Rodrigues Parameters
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This article follows our recent work on the computation of kinematic confidence regions from a given set of uncertain spatial displacements with specified confidence levels. Dual quaternion algebra is used to compute the ...
Construction of Confidence Regions for Uncertain Spatial Displacements With Dual Rodrigues Parameters
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This article follows our recent work on the computation of kinematic confidence regions from a given set of uncertain spatial displacements with specified confidence levels. Dual quaternion algebra is used to compute the ...
Kinematic Convex Combinations of Multiple Poses of a Bounded Planar Object Based on an Average-Distance Minimizing Motion Sweep
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. This article deals with the computational kinematic geometry of bounded planar objects rather than that of infinitely large moving spaces. In this article, we present a new formulation for kinematic convexity ...
On the Construction of Kinematic Hull for N-Poses of a Bounded Spatial Object
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. In this study, we extend the concept of the average squared distance (ASD)-minimizing motion sweeps from two poses to four poses for the construction of kinematic hulls of bounded spatial objects. Drawing an ...
On the Computation of Mean and Variance of Spatial Displacements
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper studies the problem of computing an average (or mean) displacement from a set of given spatial displacements using three types of parametric representations: Euler angles and translation vectors, unit quaternions ...
On the Construction of Confidence Regions for Uncertain Planar Displacements
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper studies the statistical concept of confidence region for a set of uncertain planar displacements with a certain level of confidence or probabilities. Three different representations of planar displacements are ...