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Volume 33, Issue 3
$C^2$ Continuous Quartic Hermite Spline Curves with Shape Parameters

Juncheng Li & Chengzhi Liu

DOI: 10.13447/j.1674-5647.2017.03.01

Commun. Math. Res., 33 (2017), pp. 193-204.

Published online: 2019-11

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  • Abstract

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.

  • Keywords

Hermite spline curve, interpolation curve, shape adjustment, $C^2$ continuous

  • AMS Subject Headings

65D07, 65D05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lijuncheng82@126.com (Juncheng Li)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-193, author = {Li , Juncheng and Liu , Chengzhi}, title = { $C^2$ Continuous Quartic Hermite Spline Curves with Shape Parameters}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {3}, pages = {193--204}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.03.01}, url = {http://global-sci.org/intro/article_detail/cmr/13388.html} }
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 -

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.

Li , Juncheng and Liu , Chengzhi. (2019). $C^2$ Continuous Quartic Hermite Spline Curves with Shape Parameters. Communications in Mathematical Research . 33 (3). 193-204. doi:10.13447/j.1674-5647.2017.03.01
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