[HTML][HTML] Collision free smooth path for mobile robots in cluttered environment using an economical clamped cubic B-Spline
I Noreen - Symmetry, 2020 - mdpi.com
Mobile robots have various applications in agriculture, autonomous cars, industrial
automation, planetary exploration, security, and surveillance. The generation of the optimal …
automation, planetary exploration, security, and surveillance. The generation of the optimal …
G2 Pythagorean hodograph quintic transition between two circles with shape control
Z Habib, M Sakai - Computer Aided Geometric Design, 2007 - Elsevier
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 …
have a method of joining a circle to a circle with an S-shaped or a broken back C-shaped …
Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function
R Ziatdinov - Computer Aided Geometric Design, 2012 - Elsevier
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 …
curvature is given in terms of a completely monotonic Gauss hypergeometric function. The …
On PH quintic spirals joining two circles with one circle inside the other
Z Habib, M Sakai - Computer-Aided Design, 2007 - Elsevier
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 …
curve of G2 contact, between two circles with one circle inside the other. A spiral is free of …
[HTML][HTML] G2 cubic transition between two circles with shape control
Z Habib, M Sakai - Journal of Computational and Applied Mathematics, 2009 - Elsevier
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 …
back C-shaped transition curve, composed of at most two spiral segments. In highway and …
[HTML][HTML] Geometric constraints on quadratic Bézier curves using minimal length and energy
YJ Ahn, C Hoffmann, P Rosen - Journal of Computational and Applied …, 2014 - Elsevier
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 …
Bézier curves. The formulas are in terms of the control point coordinates. For fixed start and …
Extended analysis of dynamic parameters on cubic trigonometric Bézier transition curves
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 …
Bézier curve with two dynamic parameters. Attempts were made to provide more …
Using genetic algorithms for optimizing the PPC in the highway horizontal alignment design
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 …
transition curves for improving the geometric design of highway horizontal alignments. In a …
Fitting G2 multispiral transition curve joining two straight lines
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 …
curve between two non-parallel straight lines. The G2 multispiral is a curve that consists of …
[PDF][PDF] S-shaped and c-shaped transition curve using cubic trigonometric Bézier
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 …
curves using Cubic Trigonometric Bezier Curve with two shape parameters which …