The locomotion of articulated mechanical systems is often complex and unintuitive, even when considered with the aid of reduction principles from geometric mechanics. In this paper, we present two tools for gaining insights into the underlying principles of locomotion: connection vector fields and connection height functions. Connection vector fields illustrate the geometric structure of the re...

GPS observations with higher than once-per-second sampling are becoming increasingly important for seismology. A number of reports have shown that very-high-rate GPS receivers are capable of capturing dynamic ground displacements from significant earthquakes. The higher output rate, however, does not necessarily mean higher frequency content of the corresponding observations. In order to examin...

The Mw=7.6 Chi-Chi earthquake in Taiwan occurred in 1999 over the Chelungpu fault and caused a great surface rupture and severe damage. Differential Synthetic Aperture Radar Interferometry (DInSAR) has been applied previously to study the co-seismic ground displacements. There have however been significant limitations in the studies. First, only one-dimensional displacements along the Line-of-S...

The influence of periodic shear deformation on nonaffine atomic displacements in an amorphous solid is examined via molecular dynamics simulations. We study the three-dimensional Kob-Andersen binary mixture model at a finite temperature. It is found that when the material is periodically strained, most of the atoms undergo repetitive nonaffine displacements with amplitudes that are broadly dist...

The railroad network carries 40 % of the freight in the US. Railroad bridges are the most critical part of the network and they need to be properly maintained for safety of operations. Railroad managers inspect the bridges to assess their structural condition. Railroad managers are interested in measuring displacements under train crossing events to prioritize their bridge management and safety...

Digital super resolution is a term used to describe the inverse problem of reconstructing a high resolution image from a set of known low resolution images, each of which is shifted by subpixel displacements. Simple models assume the subpixel displacements are known, but if the displacements are not known, then nonlinear approaches must be used to jointly find the displacements and the reconstr...

Two experiments examined the magnitude and direction of the initial saccade to a target that underwent two displacements within 200 msec. When the amplitude of the two target displacements was held constant at 10 deg but the angle of the displacements differed by 45 deg, a small but significant number of intermediate-angle saccades occurred. These intermediate-angle saccades were directed to lo...

${\mathrm{BiCrO}}_{3}$ is an antiferroelectric perovskite known to exhibit unconventional spin reorientation transition between antiferromagnetic structures, accompanied by a large jump in weak ferromagnetism. Using combination of neutron powder diffraction, magnetometry, and symmetry analysis, we confirm the dominant G-type order below ${T}_{\mathrm{N}}=111$ K identify magnetic phase with spon...

We present a robust methodology to quantify displacements in musculoskeletal ultrasound sequences. This paper extends the principles of 2D interframe displacements produced by our earlier work using hierarchical variable block size matching, to quantify displacement trajectories. We provide novel solutions for probe motion, quantification of objects moving in the 3D volume traversing the 2D pla...