I present a new set of tools for detection of intersections among tracks in 2-D Cartesian or geographic coordinates. These tools allow for evaluation of crossover errors at intersections, analysis of such crossover errors to determine appropriate linear models of systematic corrections for each track, and application of these corrections and further adjustments to data that completely eliminate...

Principal component analysis of molecular dynamics simulations is a popular method to account for the essential dynamics of the system on a low-dimensional free energy landscape. Using Cartesian coordinates, first the translation and overall rotation need to be removed from the trajectory. Since the rotation depends via the moment of inertia on the molecule's structure, this separation is only ...

ion in his paintings. He uses the real world as a point of reference and departs from it at the same time. He does this by using an abstract approach to apply oil paint to canvas. He is emphasising the painting as an artificial construct. Davies draws on her experience as a painter who erodes boundaries between her natural forms and the space around these forms. This sentiment is carried over i...

We report on the latest additions to our open-source, block-grid adaptive framework MPI-AMRVAC , which is a general toolkit for especially hyperbolic/parabolic partial differential equations (PDEs). Applications traditionally focused shock-dominated, magnetized plasma dynamics described by either Newtonian or special relativistic (magneto)hydrodynamics, but its versatile design easily extends d...

Kinematic feasibility of a planned robot path is restrained by the kinematic constraints of the robot executing the task, such as workspace, configuration, and singularity. Since these kinematic constraints can be described utilizing the geometry of the given robot, corresponding regions within the robot workspace can be expressed in geometrical representation. Consequently, geometric informati...

Ordinarily, a robot workspace has insufficient room to allow the setup of multiple applications simultaneously. As a result, it is common practice to use modular fixtures which hold the workpiece while the robot performs one of the applications. When the product line is to be changed, the fixture is replaced. Doing this generally requires reprogramming the manipulator. When performing this repr...

As the Internet becomes severely overburdened with exponentially growing traffic demand, it becomes a general belief that a new generation data network is in urgent need today. However, standing at this crossroad, we find that we are in a situation that lacks a theory of network designing. This issue becomes even more serious as the recent progress of network measurement and modeling challenges...

This paper reformulates image-based visual ser-voing as a constraint-based robot task, in order to integrate it seamlessly with other task constraints in image space, in Cartesian space, in the joint space of the robot, or in the " image space " of any other sensor (e. g. force, distance). This approach allows us to fuse various kinds of sensor data. The integration takes place via the specific...

Fermi coordinates (FC) are supposed to be the natural extension of Cartesian coordinates for an arbitrary moving observer in curved space-time. Since their construction cannot be done on the whole space and even not in the whole past of the observer we examine which construction principles are responsible for this effect and how they may be modified. One proposal for a modification is made and ...

This study describes an improved geometric articulatory model based on MRI and CBCT(Cone Beam Computer Tomography) data. The basic idea is to improve the coherence of the vertices of tongue meshes so as to obtain more accurate tongue model. This is conducted in two aspects: i) The representative vertices of tongue surface are depicted in Cartesian coordinate system rather than in a semi-polar g...