论文信息 - Path planning with PH G2 splines in ℝ2

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 arc length computations.

[1] Rida T. Farouki,et al. Exact Taylor series coefficients for variable-feedrate CNC curve interpolators , 2001, Comput. Aided Des..

[2] Olivier Gibaru,et al. Fast L1kCk polynomial spline interpolation algorithm with shape-preserving properties , 2011, Comput. Aided Geom. Des..

[3] Rida T. Farouki,et al. Pythagorean-Hodograph Curves , 2002, Handbook of Computer Aided Geometric Design.

[4] Rida T. Farouki,et al. Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable , 2007, Geometry and Computing.

[5] T. Sakkalis,et al. Pythagorean hodographs , 1990 .

[6] Dereck S. Meek,et al. G2 curve design with a pair of Pythagorean Hodograph quintic spiral segments , 2007, Comput. Aided Geom. Des..

[7] R. J. Joenk,et al. IBM journal of research and development: information for authors , 1978 .

[8] Rida T. Farouki,et al. Performance analysis of CNC interpolators for time-dependent feedrates along PH curves , 2001, Comput. Aided Geom. Des..

[9] Vito Vitrih,et al. On interpolation by Planar cubic G2 pythagorean-hodograph spline curves , 2010, Math. Comput..

[10] Olivier Gibaru,et al. Feedrate planning for machining with industrial six-axis robots , 2010 .

[11] Richard Bearee,et al. Enhanced trajectory planning for machining with industrial six-axis robots , 2010, 2010 IEEE International Conference on Industrial Technology.

[12] C. A. Neff,et al. Hermite interpolation by Pythagorean hodograph quintics , 1995 .