Abstract 3D rotations arise in many computer vision, computer graphics, and robotics
problems and evaluation of the distance between two 3D rotations is often an essential task …

This paper examines the frame-invariance (and the lack thereof) exhibited in simulated
anisotropic elasto-plastic responses generated from supervised machine learning of …

The concept of distance between two rigid-body poses is important in path planning,
positioning precision, mechanism synthesis, and in many other applications. In the definition …

Dual quaternions give a neat and succinct way to encapsulate both translations and
rotations into a unified representation that can easily be concatenated and interpolated …

This paper studies the problem of planar four-bar motion generation from the viewpoint of
extraction of geometric constraints from a given set of planar displacements. Using the …

Descriptors play an important role in point cloud registration. The current state-of-the-art
resorts to the high regression capability of deep learning. However, recent deep learning …

The pose of a rigid object is usually regarded as a rigid transformation, described by a
translation and a rotation. However, equating the pose space with the space of rigid …

For more than a century, rigid-body displacements have been viewed as affine
transformations described as homogeneous transformation matrices wherein the linear part …

Our work addresses the problem of egocentric human pose estimation from downwards-
facing cameras on head-mounted devices (HMD). This presents a challenging scenario, as …

Die Bruchmechanik zählt zu den aufstrebenden und vielversprechendsten Gebieten der
Ingenieurmechanik. In den letzten Jahrzehnten wurden zahlreiche theoretische …