论文标题
一般自适应有理插值，最大秩序接近不连续
General adaptive rational interpolation with maximum order close to discontinuities
论文作者
论文摘要
自适应有理插值已在图像处理的背景下设计为一种新的非线性技术，当我们近似不连续的函数时，它避免了吉布斯现象。在这项工作中，我们对该方法进行了概括，从而为所有算法的所有权重提供明确的表达式。它具有与基本非振荡（WENO）技术相似的行为，但是由于在这种情况下的权重设计更为简单，我们提出了一种新的方式来构造它们，以在不连续性附近获得最大值。进行了一些实验以证明我们的结果并将其与标准方法进行比较。
Adaptive rational interpolation has been designed in the context of image processing as a new nonlinear technique that avoids the Gibbs phenomenon when we approximate a discontinuous function. In this work, we present a generalization to the method giving explicit expressions for all the weights for any order of the algorithm. It has a similar behavior to weighted essentially non oscillatory (WENO) technique, however because of the design of the weights in this case is more simple, we propose a new way to construct them obtaining the maximum order near the discontinuities. Some experiments are performed to demonstrate our results and to compare them with standard methods.
