论文标题
多项式映射基础：理论和应用
Polynomial mapped bases: theory and applications
论文作者
论文摘要
在本文中，我们收集了一种新技术的基本理论和最重要的应用，该技术已证明适用于散射的数据插值，正交，生物成像重建。该方法依赖于多项式映射的碱基，例如，将数据或功能不连续性纳入合适的映射函数。这项新技术大大减轻了Runge和Gibbs的影响。
In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The method relies on polynomial mapped bases allowing, for instance, to incorporate data or function discontinuities in a suitable mapping function. The new technique substantially mitigates the Runge's and Gibbs effects.
