TY - JOUR
T1 - Planar Cubic $G^1$ Hermite Interpolant with Minimal Quadratic Oscillation in Average
AU - Li , Juncheng
JO - Communications in Mathematical Research 
VL - 3
SP - 219
EP - 224
PY - 2019
DA - 2019/12
SN - 35
DO - http://doi.org/10.13447/j.1674-5647.2019.03.03
UR - https://global-sci.org/intro/article_detail/cmr/13527.html
KW - cubic Hermite interpolant, free parameter optimization, shape-preserving interpolant
AB - <p style="text-align: justify;">In this paper we apply a new method to choose suitable free parameters of the planar cubic $G^1$ Hermite interpolant. The method provides the cubic $G^1$ Hermite interpolant with minimal quadratic oscillation in average. We can use the method to construct the optimal shape-preserving interpolant. Some numerical examples are presented to illustrate the effectiveness of the method.&nbsp;</p>