The paper is concerned with the problem of shape preserving interpolatorysubdivision. For arbitrarily spaced, planar input data an efficient non-linearsubdivision algorithm is presented that results in $G^1$ limit curves,reproduces conic sections and respects the convexity properties of the initialdata. Significant numerical examples illustrate the effectiveness of theproposed method.
展开▼
机译：本文关注形状保持插值细分的问题。对于任意间隔的平面输入数据，提出了一种有效的非线性细分算法，该算法可生成$ G ^ 1 $极限曲线，再现圆锥截面并尊重初始数据的凸性。大量的数值算例说明了该方法的有效性。
展开▼
