TY - JOUR
T1 -  $C^2$ Continuous Quartic Hermite Spline Curves with Shape Parameters
AU - Li , Juncheng
AU - Liu , Chengzhi
JO - Communications in Mathematical Research 
VL - 3
SP - 193
EP - 204
PY - 2019
DA - 2019/11
SN - 33
DO - http://doi.org/10.13447/j.1674-5647.2017.03.01
UR - https://global-sci.org/intro/article_detail/cmr/13388.html
KW - Hermite spline curve, interpolation curve, shape adjustment, $C^2$
 continuous
AB - <p style="text-align: justify;">In order to relieve the deficiency of the usual cubic Hermite spline curves,
the quartic Hermite spline curves with shape parameters is further studied in this
work. The interpolation error and estimator of the quartic Hermite spline curves are
given. And the characteristics of the quartic Hermite spline curves are discussed.
The quartic Hermite spline curves not only have the same interpolation and continuity properties of the usual cubic Hermite spline curves, but also can achieve local
or global shape adjustment and $C^2$ continuity by the shape parameters when the
interpolation conditions are fixed.</p>