This paper addresses an optimization of Unmanned Aerial Vehicle (UAV) flight trajectories by bank-turn mechanism for a fixed-wing UAV at constant altitude. The should be optimal and stay in the operational area. maneuver planning is conducted two steps, which are path trajectory planning. For first step, Bezier curve employed as maneuvering path. objective to minimize length while satisfying ma...

Abstract In this paper, a new strategy is developed to plan the smooth path for mobile robots through an improved PSO algorithm in combination with continuous high-degree Bezier curve. Rather than connecting several low-degree curve segments, use of curves facilitates fulfillment requirement high-order continuity such as curvature derivative, which critical motion control robots. On other hand,...

In the present note, we introduce a Bezier variant of a new type of Bernstein Durrmeyer operator, which was introduced by Gupta [3]. We estimate the rate of convergence by using the decomposition technique of functions of bounded variation and applying the optimum bound. It is observed that the analysis for our Bezier variant of new Bernstein Durrmeyer operators is different from the usual Bern...

This paper proposes four methods to approximate circular arcs using quartic Bezier curves. Barycentric coordinates of two/three combination of control points are used to obtain an optimal approximation. Interior control points of quartic Bezier curves are found by satisfying G data from given circular arcs. The maximum errors between circular arcs and approximated curves are calculated using Ha...

This thesis presents a robust method for evaluating differential geometry properties of sculptured surfaces by using a validated ordinary differential equation (ODE) system solver based on interval arithmetic. Iso-contouring of curvature of a Bezier surface patch, computation of curvature lines of a Bezier surface patch and computation of geodesics of a Bezier surface patch are computed by the ...

Parametric-surface tessellation is one of the most important algorithms for CAGD applications. This paper presents a new parametric-surface tessellation method based on degree reduction: (1) a given parametric surface (or NURBS surface) of degrees (p; q) is decomposed into a set of Bezier surfaces, (2) the Bezier surfaces are converted into a set of bilinear surfaces by applying consecutive ste...

The problem of topological optimization a symmetrical double-shear adhesive joint has been solved. suggested mathematical model with variable thickness generalizes the classic Holland–Reissner model. shape doubler is described by means Bezier curve. Seeking parameters in are coordinates reference points Both length and cross-section area can be considered an objective function. restriction appl...

The paper presents a method of expressing CST shapes pioneered by Kulfan into stan­ dard Bezier curves and surfaces. Out of the seven standard shape classes identified by Kulfan as representable using CST curves, four of them, including airfoils, can be repre­ sented as Bezier curves exactly. For the other three, a convergent series expansion proves insufficient to achieve any practical accurac...