ions that are not shown include:  The multiple dimension systems of the Person object frame class; these typically include: o A special “component holder” dimension system. o A 4D dimension system (a Cartesian coordinate + time system).  Transforms between the above two dimension systems. Some of the descriptions of definitions in the following sections will refer to this diagram. Structural ...

A brief and incomplete review of known integrable and (quasi)-exactly-solvable quantum models with rational (meromorphic in Cartesian coordinates) potentials is given. All of them are characterized by (i) a discrete symmetry of the Hamiltonian, (ii) a number of polynomial eigenfunctions, (iii) a factorization property for eigenfunctions, and admit (iv) the separation of the radial coordinate an...

We present a study on the visual assessment of relative data point distances in Parallel coordinate systems and scatterplots in Cartesian coordinate systems. Specifically, we assess the impact of coordinate system type, dimension, and relative point distance deviation. We performed an online pilot experiment with 100 participants using Amazon’s MechanicalTurk. The experiment design and methodol...

Machine tool owners require knowledge of their machine’s capabilities, and the emphasis increases with areas of high accuracy manufacturing. An aspect of a machine’s capability is its geometric accuracy. International Standards and best-practice guides are available to aid understanding of the required measurements and to advise on how to perform them. However, there is an absence of any intell...

This work presents an approach to simultaneously but independently control the compliance of a robotic system transversal and tangential to a given path. A subordinate path following controller transforms the nonlinear dynamics into a linear system with decoupled transversal and tangential dynamics via a coordinate transformation and an exact input-output linearization. The outer control loop u...

In this paper we develop a new approach to iterative learning control for the practically relevant case of deterministic discrete linear plants where the first Markov parameter is zero. The basis for this is a 2D systems approach that, by using a strong form of stability for linear repetitive processes, also allows us to consider both trial-to-trial and along the trial performance. This is in c...

To facilitate the use of group theory in the analysis of vibrational spectra, a set of Maple procedures is provided generating the normal coordinates and determining the spectral activities of polyatomic molecules. Our program, called BETHE, is based on the frequently applied point groups and provides an interactive access to the group data as needed in physical chemistry and elsewhere. Owing t...

Any quantization introduces errors. An important question is how to suppress their visual effect. In this paper we present a new quantization method for the geometry of 3D meshes, which enables aggressive quantization without significant loss of visual quality. Conventionally, quantization is applied directly to the 3-space coordinates. This form of quantization introduces high-frequency errors...

Geometrical features have been a key element of visual servoing for several years. Recently, different works have shown how using all the information within the images can lead to successful servoing tasks. In particular, works using mutual information have been proposed and tested on perspective cameras. In this paper we propose to adapt this approach to vision systems following the unified sp...

In printed circuit board (PCB) manufacturing multi-head gantry machines are becoming increasingly more popular in surface mount technology (SMT), because they combine high speed with moderate price. This kind of machine picks up several components from the feeder and places them on the PCB. The process is repeated until all component placements are done. In this article, a subproblem of the mac...