On the computation of mean and variance of spatial displacements

QJ Ge, Z Yu, M Arbab… - Journal of …, 2024 - asmedigitalcollection.asme.org
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 …

Shape-Dependent Motion Interpolants for Planar Objects

H Liu, QJ Ge, MP Langer - … and Information in …, 2023 - asmedigitalcollection.asme.org
Rigid body kinematics is most commonly about movements of unbounded spaces. This
paper deals with the kinematics of bounded shapes in a plane and focuses on the problem …

Kinematic convexity of rigid body displacements

A Purwar, J Ge - International Design Engineering …, 2010 - asmedigitalcollection.asme.org
In this paper, we explore the notion of kinematic convexity for rigid body displacements.
Previously, we have shown that when spatial rigid body displacements are represented by …

A dual quaternion based method for estimating margins for planning target volumes in radiotherapy

QJ Ge, Z Yu, M Langer - … and Information in …, 2020 - asmedigitalcollection.asme.org
This objective of this paper is to develop a dual quaternion based method for estimating
target volumes in radiation therapy for head and neck cancer. Inaccuracies in radiation …