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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 ...
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 ...
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