首页|Efficient Intersection Computation of the Bezier and Hermite Curves with Axis Aligned Bounding Box
Efficient Intersection Computation of the Bezier and Hermite Curves with Axis Aligned Bounding Box
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Cubic parametric curves are used in many applications including the CAD/CAM systems. Especially the Hermite, Bezier and Coons formulations of a cubic parametric curve are used in E~2 and E~3 space. This paper presents efficient algorithm for the intersection computation of a cubic parametric curve with the Axis Aligned Bounding Box (AAB Box). Usual solution is to represent the cubic curve by a polyline, i.e. actually by sampled points of the given curve. However, this approach is dependent on the sampling frequency and can lead to problems especially in CAD/CAM systems and numerically controlled machines use.