This paper presents a new approach for fast and accurate generation of cubic spline trajectories for non-circular omnidirectional mobile robots and automated guided vehicles (AGVs). This method can be combined with any existing path planner or guidance system for offline calculation of trajectories with independent translational and rotational movement. In addition trough fast computation this ...

In this paper, the Khater II analytical technique is used to examine novel soliton structures for fractional nonlinear third-order Schrödinger (3-FNLS) problem. The 3-FNLS equation explains dynamical behavior of a system’s quantum aspects and ultra-short optical fiber pulses. Additionally, it determines wave function mechanical system in which atomic particles behave similarly waves. For exampl...

This paper presents a physics-based approach to anatomical surface segmentation, reconstruction, and tracking in multidimensional medical images. The approach makes use of a dynamic \balloon" model|a spherical thin-plate under tension surface spline which deforms elastically to t the image data. The tting process is mediated by internal forces stemming from the elastic properties of the spline ...

This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circular splines and Pythagorean hodograph (PH) splines, respectively. The circular splines are obtained using a novel variant of biarc interpolation, while the PH splines are constructed via Hermite interpolation of C boun...

In the present manuscript, Benjamin-Bona-Mahony-Burgers (BBMB) equation will be handled numerically by Strang time-splitting technique. While applying this technique, collocation method based on quintic B-spline basis functions is applied. line with our purpose, after splitting BBM-Burgers given appropriate initial boundary conditions into two subequations containing derivative in terms of time...

Abstract Rehabilitation robots can help physiatrists to assist patients in improving their movement ability. Due the interaction between rehabilitation and patients, need complete training on a safe basis. This paper presents an approach for smooth trajectory planning cable-driven parallel waist robot (CDPWRR) based evaluation factors. First, motion capture technology is used collect data of se...

We consider the existence of a dynamically stable soliton in the one-dimensional cubic-quintic nonlinear Schrödinger model with strong cubic nonlinearity management for periodic and random modulations. We show that the predictions of the averaged cubic-quintic nonlinear Schrödinger (NLS) equation and modified variational approach for the arrest of collapse coincide. The analytical results are c...