Bezier Curve Interpolation Constrained by a Line
نویسندگان
چکیده
Abstract Bezier is one of the influent polynomial and important tool for interpolation because it is easy to compute and is also very stable. In this paper, we develop very simpler constraints for Quadratic and Cubic Bezier curve which they ensure to constrained by a line. The end control points of the Quadratic and Cubic Bezier curve will be left on user desire and only middle control points of Quadratic and Cubic Bezier curve will change the whole shape which looks like smooth and interactive curve. Therefore, in order to determine the constraints for Quadratic and Cubic Bezier curve, the location of each middle control points to be identified, so that the curve will only touch the constraint line but without crossing it. The middle cubic Bezier ordinate provides the C-shape and S-shape curves which are may be useful in the path planning and Highway or railway rout design.
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