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 presents a path planning method considering physical limits for two-wheeled mobile robots (TMRs). A convolution operator is used to generate the center velocity trajectory to travel the distance along predefined Bezier curve while considering the physical limits. The trajectory gained through convolution does not consider the rotating angle of TMR, so we present a transformational me...

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 important step in the turbine aerodynamic design is generation of blade element profiles to achieve the required flow deflection and smooth flow acceleration with minimum losses. During profile generation, in addition to aerodynamic performance, additional constraints of thermal, structural and castability requirements need to be considered. Thus profile generation is a trade-off between co...

A cloth simulation system must generate a human body model based on measured data obtained from range data. We propose modeling and deformation methods based on such data. In our system, the human body is modeled by layered metaballs which correspond to the horizontal cross section of the body. For each cross section, metaballs are generated by measured sample points on the boundary of the cros...

"How to find any $n^{th}$ order B\'{e}zier curve if we know its first, second, and third derivatives?" Hence have examined the way based on control points with matrix form, while derivatives are given in $\mathbf{E}^{3}$. Further, of a cubic as an example. In this study first how Bezier known second derivatives, which inherently, $\left( n-1\right) ^{th}$ order, $\left(n-2\right) n-3\right) cur...

Abstract We present a simple computer simulation model for the interaction of automatic guns with unarmed drones. Each drone is represented as rigid body that consists several bodies such parallelepipeds, ellipsoids, etc. The simplified spatial trajectory constructed using third-order Bezier curves. A relatively large group unconnected drones may be simulated in computationally fast way this me...

In the past decade, multi-UAV systems have gained significant attention and companies from in various fields. The main aims of growing such are able to operate a coordinated way complicated situations. To encompass increase speed applications, this research proposed optimization with intelligence. existing work, it does not detect collision effectively. Particle Swarm Optimization algorithm bas...