TITLE:
Intersecting Line of Conical Surface and Smoothly Blending of Two Tubes Whose Axes Are Non-Coplanar
AUTHORS:
Genzhu Bai, Zhi Wu, Xiao Lin
KEYWORDS:
Bezier Curve, Intersecting Line of Conical Surface, Tubes, Non-Coplanar Tubes, Smoothly Blending
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.9,
October
16,
2017
ABSTRACT: We construct two conical surfaces which take non-coplanar lines as generatrix and rational Bezier curve as ridge-line, and prove that the intersecting line of conical surface has similar properties to Bezier curve. Then, the smoothly blending of two cylinders whose axes are non-coplanar is realized by taking intersecting line of conical surface as axes.