Mobile robots have various applications in agriculture, autonomous cars, industrial
automation, planetary exploration, security, and surveillance. The generation of the optimal …

In the highway and rail route designs, or a car-like robot path planning it is often desirable to
have a method of joining a circle to a circle with an S-shaped or a broken back C-shaped …

We present superspirals, a new and very general family of fair curves, whose radius of
curvature is given in terms of a completely monotonic Gauss hypergeometric function. The …

The paper derives a spiral condition, for a single Pythagorean hodograph quintic transition
curve of G2 contact, between two circles with one circle inside the other. A spiral is free of …

This paper describes a method for joining two circles with an S-shaped or with a broken
back C-shaped transition curve, composed of at most two spiral segments. In highway and …

This paper derives expressions for the arc length and the bending energy of quadratic
Bézier curves. The formulas are in terms of the control point coordinates. For fixed start and …

In this paper, transition curve between two circles are constructed using cubic trigonometric
Bézier curve with two dynamic parameters. Attempts were made to provide more …

Various studies have emphasized the interesting advantages related to the use of new
transition curves for improving the geometric design of highway horizontal alignments. In a …

In this paper, we describe an algorithm for generating a C-shaped G2 multispiral transition
curve between two non-parallel straight lines. The G2 multispiral is a curve that consists of …

This paper describes the general method to develop S-shaped and C-shaped transition
curves using Cubic Trigonometric Bezier Curve with two shape parameters which …