@Article{CMR-35-219, author = {Li , Juncheng}, title = {Planar Cubic $G^1$ Hermite Interpolant with Minimal Quadratic Oscillation in Average}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {3}, pages = {219--224}, abstract = {

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. 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.03.03}, url = {http://global-sci.org/intro/article_detail/cmr/13527.html} }