论文信息 - Smoothing Arc Splines Using Cubic Bézier Spiral Transitions

Smoothing Arc Splines Using Cubic Bézier Spiral Transitions

Arc splines are planar, tangent continuous, piecewise curves made of circular arcs and straight line segments. They are important in manufacturing industries because of their use in the cutting paths for numerically controlled cutting machinery, highway route and robot paths. This paper considers how to smooth three kinds of G biarc models: the C-, S-, and J-shaped, by replacing their parts by a single G cubic Bézier function. All kinds of transition curves have just one inflection point in their curvature. Use of a single curve rather than two functions has the benefit because designers and implementers have fewer entities to be concerned.

Zulfiqar Habib | Z. Habib | A. Rashid | Aisha Rashid

[1] Zulfiqar Habib,et al. G2 cubic transition between two circles with shape control , 2009 .

[2] Zulfiqar Habib,et al. On PH quintic spirals joining two circles with one circle inside the other , 2007, Comput. Aided Des..

[3] Dereck S. Meek,et al. Smoothing an arc spline , 2005, Comput. Graph..

[4] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .

[5] Zulfiqar Habib,et al. G2 Pythagorean hodograph quintic transition between two circles with shape control , 2007, Comput. Aided Geom. Des..

[6] Dereck S. Meek,et al. A Pythagorean hodograph quintic spiral , 1996, Comput. Aided Des..

[7] Dereck S. Meek,et al. Planar G 2 transition curves composed of cubic Bézier spiral segments , 2003 .

[8] Dereck S. Meek,et al. A constrained guided G1 continuous spline curve , 2003, Comput. Aided Des..

[9] Zulfiqar Habib,et al. Fair cubic transition between two circles with one circle inside or tangent to the other , 2009, Numerical Algorithms.

[10] Dereck S. Meek,et al. Planar G2 transition between two circles with a fair cubic Bézier curve , 1999, Comput. Aided Des..

[11] Muhammad Sarfraz,et al. Curve Fitting for Large Data Using Rational Cubic Splines , 2003, International Journal of Computers and Their Applications.