| Paper title: |
A new Procedure of Computing the Minimum Radii of Bézier Curves and Applications in Designing a Bike Trail |
| DOI: | https://doi.org/10.4316/JACSM.202301005 |
| Published in: | Issue 1, (Vol. 17) / 2023 |
| Publishing date: | 2023-04-09 |
| Pages: | 35-41 |
| Author(s): | ȘOMÎTCĂ Ioana-Alexandra, DEACONU Ştefan-Eduard, ȘOMÎTCĂ Stelian-Alexandru |
| Abstract. | The paper presents a new procedure for finding the minimum radius of a Bézier Curves. The authors choose to use the theoretical procedure for a practical application. For this purpose, the authors find the minimum radii of a Bézier Curve consisting of 16 Cubic Bézier Curves on a bike trail situated in Mălini, Romania. In the design of the bike route, the authors consider elevations to design a bike trail on level curves. This decision is made to obtain a slope of less than 20%, for a relaxing route for the family. The route is created on a length of about 5 km completely respecting the design norms of a cycling track, according to the Methodological Guide for regulating the design. Authors choose to present a comparison for the procedure between hand-drawn horizontal curves, and approximating the trail using Cubic Bézier Curves and Python |
| Keywords: | Bézier Curves, B-Spline, Cubic Bézier Curves, Minimum Radius, Interpolation, Approximation, Elevations, Level Curves |
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