This paper proposes a dynamic path planning method based on discrete optimization applied to suburban highways or expressways. We optimize the generated candidate points according cost function and then generates local through quintic spline curve. The kinematics obstacle boundary conditions are set up improve reliability of planned path. Meanwhile, two-dimensional normal distribution function,...

Buckling and vibrational behaviour of non-homogeneous orthotropic rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and these are subjected to constant in-plane force have been analyzed on the basis of classical plate theory. The other two edges (x = 0 and a) may be clamped, simply supported or free. For nonhomogeneity of the plate material, Young...

Three-dimensional curves are playing an increasing role in ship-hull modeling and many other areas of computer-aided design (CAD). The problem of evaluating and improving the fairness of such a curve is considered and three solutions (algorithms) are proposed representing all major methodologies currently pursued by CAD researchers: local fairing by knot removal, and local/global fairing based ...

In this study, trigonometric quintic B-spline collocation method is constructed for computing numerical solutions of the reaction-diffusion system (RDS). Schnakenberg, Gray-Scott and Brusselator models are special cases systems considered as examples in paper. Crank-Nicolson formulae used time discretization generalized RDS nonlinear terms time-discretized form linearized using Taylor expansion...

Aim of this paper is to describe how the so called Variable Degree Polynomial Spaces can be used for the construction of C spatial curves, approximating or interpolating a given set of data. Their main advantages rely in the easy control on their shape, provided by the variable degrees, and in the low computational cost, comparable with that of standard quintic splines. 1 – Introduction Geometr...