Trigonometric Bezier Transition Curves And Applications
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Date
2017-08
Authors
Misro, Md Yushalify
Journal Title
Journal ISSN
Volume Title
Publisher
Universiti Sains Malaysia
Abstract
This thesis describes the development of a new quintic trigonometric Bézier curve
with two shape parameters by discussing its basis function, properties, and composition
of two curve segments in the early part of this thesis. Five flexible templates of transition
curves are generated using both cubic and a newly proposed quintic trigonometric
Bézier curves with the presence of shape parameters. The five templates of transition
curves are achieved by joining a straight line to a circle, circle to circle with a broken
back C transition, circle to circle with an S transition, straight line to straight line, and
circle to circle where small circle lies inside the big circle. Two of the templates will
discuss on S-shaped and C-shaped transition curve using single transition curve and
two Bézier spiral segments. This thesis also includes works on the application in highway
design by approximating maximum speed estimation using curvature information.
Comparisons between quintic Bézier curve and quintic trigonometric Bézier curve on
real data sets are also presented.
Description
Keywords
The development of a new quintic trigonometric Bézier curve , with two shape parameters by discussing its basis function.