Computer-aided modeling techniques have been developed since the advent of NC milling
machines in the late 40's. Since the early 60's Bezier and B spline representations evolved …

An efficient and analytical continuous-curvature path-smoothing algorithm, which fits an
ordered sequence of waypoints generated by an obstacle-avoidance path planner, is …

Ever since aesthetics have emerged in modern design, parametric curve like Bezier is
widely used in CAD design. Various techniques and methodologies like curve fitting, curve …

This paper focuses on generating smooth trajectories for a wheeled nonholonomic mobile
robot using piecewise Bézier curves with properties ideally suited for this purpose. The …

This paper presents an efficient planning and execution algorithm for the navigation of an
autonomous rotary wing UAV (RUAV) manoeuvering in an unknown and cluttered …

The significance of developing shared road infrastructure in cities throughout the world is
growing. Driven by the need to improve traffic management in ways that enhance multiple …

This article is devoted to cubic Pythagorean hodograph (PH) curves which enjoy a number
of remarkable properties, such as polynomial arc-length function and existence of …

Purpose Non-uniform rational B-splines (NURBSs) are the de facto standard for
representing objects in computer-aided design (CAD). The purpose of this paper is to …

In recent decades, Rapidly-exploring Random Tree star (RRT*) has garnered significant
attention in the field of path planning due to its asymptotical optimality feature. However, the …

It is an often used fact that the control polygon of a Bézier curve approximates the curve and
that the approximation gets better when the curve is subdivided. In particular, if a Bézier …