C2 Rational Interpolation Splines with Region Control and Image Interpolation Application
C2 Rational Interpolation Splines with Region Control and Image Interpolation Application
复制标题
C-2 有理插值样条与区域控制和图像插值应用
DOI：
10.1007/s10851-020-01005-z
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发表时间：
2021-01-06
影响因子：
2
通讯作者：
Zhu，Yuanpeng
中科院分区：
文献类型：
--
作者：
Liu，Zhuo;Liu，Shengjun;Zhu，Yuanpeng
在这项工作中，我们使用一类一维和二维的有理插补样条来处理插补曲线和曲面的区域控制问题。给出了局部控制参数的简单、充分的数据依赖约束，以生成严格位于两条给定分段线性曲线之间的插补曲线和严格位于两个给定分段双线性混合五次插值曲面之间的插补曲线。此外，我们还提出了一种关于理论插补样条曲面在图像插补中的应用的算法。
In this work, we deal with the region control ofinterpolation curves and surfaces using a class of rational interpolation splines in one and two dimensions. Simple sufficient data-dependent constraints are derived on the local control parameters to generateinterpolation curves lying strictly between two given piecewise linear curves andinterpolation surfaces lying strictly between two given piecewise bi-liner blending quintic interpolation surfaces. Moreover, we also develop an algorithm concerning the application of therational interpolation spline surfaces on image interpolation.