Application of Quasi-Cubic Bezier Curves in the Blending of Tubes with Different Radiuses

摘要

The three shape parameters α,β,γ of a quasi-cubic Bezier curve can adjust the shape of the curves near its specific control points.In this study,given two pipes of different radiuses and non-coplanar axes,we first blend the axes of the two pipes using the property of the quasi-cubic Bezier curves and further construct the surface that blends the pipes,which has theoretical significance and application value.