In this paper, we use the blending functions of Lupaş type (rational) (p, q)-Bernstein operators based on (p, q)-integers for construction of Lupaş (p, q)-Bézier curves (rational curves) and surfaces (rational surfaces) with shape parameters. We study the nature of degree elevation and degree reduction for Lupaş (p, q)-Bézier Bernstein functions. Parametric curves are represented using Lupaş (p...

Pruning branches of apple trees is a labor-intensive task. robots can save manpower and reduce costs. A full map the orchard with collision-free paths, which navigation planning, essential. To improve efficiency tree pruning robot, an improved RRT-Connect algorithm was proposed. Firstly, to address disadvantage randomness in expansion algorithm, goal-biased strategy introduced. Secondly, shorte...

Abstract This paper presents a new reward function that can be used for deep reinforcement learning in unmanned aerial vehicle (UAV) control and navigation problems. The is based on the construction estimation of time simplified trajectories to target, which are third-order Bezier curves. applied unchanged solve problems both two-dimensional three-dimensional virtual environments. effectiveness...

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,...

2 Mathematical Preliminaries 3 2.1 Barycentric Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Inscribed Centers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Bezier Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Derivatives . . . . . . . . . . ....

An efficient method to segment eyed typhoon from a satellite cloud image is proposed. First, original satellite cloud image is enhanced by gray transform. Second, in order to reduce the computation burden to segment the whole satellite cloud image, single threshold segmentation based on Bezier histogram is implemented to the original satellite cloud image. Some small unrelated cloud masses are ...

In this research, optimization process of axisymmetric extrusion dies is proposed. Plastic zone is analyzed using finite element method in the Eulerian system with flow formulation. The die profiles are defined by Bezier curves with six control points. Two effective functions are considered in this research; standard deviation of the strain rate and the rate of energy consumption during extrusi...

Given a smooth surface, a blue (red) ridge is a curve along which the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges are curves of extremal curvature and therefore encode important informations used in segmentation, registration, matching and surface analysis. State of the art methods for ridge extraction either report red and blue ridges simultaneously o...

Ruled surface is widely used in engineering design such as parting surface design of injection mold and checking surface design of checking fixture, which are usually generated by offsetting 3D curves. However, in 3D curve offset, there often exist break/interaction/overlapping problems which can't be solved by current CAD software automatically. This paper is targeted at developing a 3D curve ...

Methodologies for reducing the design-space dimensionality in shape optimization have been recently developed based on unsupervised machine learning methods. These methods provide reduced representations of design space, capable maintaining a certain degree original variability. Nevertheless, they usually do not allow to use directly parameterization method, representing limitation their widesp...