Interpolation of B1-spline curve

摘要

The recently introduced B1-spline curve has been drawing a great deal of attention, because B1-spline has special advantages in geometric modeling and in manufacturing processes using NC machines. This paper introduces a method of B1-spline interpolation. It generates almost the same shape as B-spline interpolation, but is particularly appropriate for designing corner points. Corner point often exists in design, but can cause a continuity problem or wiggling in the interpolation curve. B1-spline interpolation has the advantage of solving this problem. This paper shows examples proving that B1-spline interpolation has the merits compared with B-spline interpolation.