Path planning with PH G2 splines in ℝ2

In this article, we justify the use of parametric planar Pythagorean Hodograph spline curves in path planning. The elegant properties of such splines enable us to design an efficient interpolator algorithm, more precise than the classical Taylor interpolators and faster than an interpolator based on...

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Bibliographic Details
Published in:2012 1st International Conference on Systems and Computer Science pp. 1 - 6
Main Authors: Gajny, Laurent, Bearee, Richard, Nyiri, Eric, Gibaru, Olivier
Format: Conference Proceeding
Language:English
Published: IEEE 01.08.2012
Subjects:
Accuracy
Bending
Interpolation
Mechanical systems
Path planning
Polynomials
Pythagorean-hodograph
Spirals
Splines
Splines (mathematics)
Taylor series
Trajectory
Vectors
ISBN:9781467306737, 1467306738
Online Access:Get full text
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Summary:In this article, we justify the use of parametric planar Pythagorean Hodograph spline curves in path planning. The elegant properties of such splines enable us to design an efficient interpolator algorithm, more precise than the classical Taylor interpolators and faster than an interpolator based on arc length computations.
ISBN:9781467306737
1467306738
DOI:10.1109/IConSCS.2012.6502455