Quasi-interpolation and outliers removal (Q1652793)

In this article, the authors develop a method for removing outliers using quasi-interpolation. The authors use quasi-interpolation and the approximation error of a function to create a boundary beyond which a data point is adjudicated as an outlier and removed from the dataset. This is done when the difference between the value of the function and its quasi-interpolation function are larger than the estimated approximation error in the quasi-interpolation function.