We present two practical path planning algorithms based on Bezier curves for autonomous vehicles operating under waypoints and corridor constraints. Bezier curves have useful properties for the trajectory generation problem. This paper describes how the algorithms apply these properties to generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms generate t...

Approximation of helices has been studied by using in many ways. In this study, it examined how a circular helix can be written as Bezier curve and the 3th degree, 5th 7th degree Maclaurin series expansions for polynomial forms. Hence, they cubic, order, order curves, based on control points with matrix form we have already given E3. Further coefficients expansion helix.

wind power has been widely considered in recent years as an available and a clean renewable energy source. the cost of wind energy production is currently the main issue, and increasing the size of wind turbines can reduce wind energy production costs. hence, megawatt wind turbines are being rapidly developed in recent years. in this paper, an aerodynamic analysis of the nrel 5mw turbine is car...

introduction 3d reconstruction of an object from its 2d cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. in order to perform 3d reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. mate...

Abstract. The paper considers the problem of identifying game events in a video beach volleyball. As method for solving problem, combined approach is proposed based on recognizing trajectory ball and constructing skeletal representations players. Temporal localization carried out by searching changes using construction composite Bezier curve. Spatial performed positioning players frame at momen...

Abstract Bezier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties provide the user with intuitive tools editing shape of a parametric polynomial curve. Even more control flexibility can be achieved by associating parameter each point considering rational curves, which comes additional advantage being able to represent all conic sect...

In this paper, a role of corner detection in outline capturing system is studied/discussed, which is normally used as phase 1 of capturing. Three outline capturing techniques are studied, one without involving any corner detection and two techniques with most suited corner detectors. One common curve approximation method, with cubic Bezier curves, is used in all above techniques in order to stu...

In this paper, an efficient algorithm for automatic outline capture of digital character images is presented. This method is well suited for non-Roman languages like Arabic, Urdu, Persian, etc. Contemporary word processing systems store shapes of the characters in terms of their outlines, and outlines are expressed as cubic Bezier curves. The process of capturing outlines includes steps detecti...

The local geometric properties such as curvatures and normal vectors play important roles in analyzing the local shape of objects. The result of the geometric operations such as mesh simplification and mesh smoothing is dependent on how to compute the curvatures of meshes, because there is no exact definition of the discrete curvature in meshes. In this paper, we indicate the fatal error in com...