Path trajectory of autonomous vehicles using Bezier curves

Holmes, Jaycee Hermida

2015

2010-2019

This research explores the nature of the parametric Bezier Curves and its application in determining the path trajectory of an autonomous vehicle using Bezier curves. The research uses the MATLAB scripting language to find the optimal distance between control points of a fifth degree Bezier curve. This was found by finding the integral of the second derivative of the Bezier curve's curvature. The results of this research indicate an increasing linear dependency between the distance of the six control points and the length of the vehicle's trajectory, assuming that the width remains constant. The approximated correlation derived from the generated program will assist in finding a precise relationship between the two variables and will reduce the time in which autonomous vehicles plans its path.

text

application/pdf

conference proceedings

Enhancing Global Research and Education in STEM at Spelman College (G-STEM)

Mathematics and Computer Science

Spelman College

http://hdl.handle.net/20.500.12322/sc.gstem:2015_holmes_jaycee_hermida

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