Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision

作者：

Highlights：

• Unified framework for cardinal Br-spline fundamental functions for interpolation.

• Connection with the basic limit functions of non-stationary subdivision schemes.

• Family of fourth-order accurate, C2 cardinal Br-spline fundamental functions for interpolation.

• Improvements on the Deslauriers-Dubuc interpolatory 4-point scheme.

摘要

•Unified framework for cardinal Br-spline fundamental functions for interpolation.•Connection with the basic limit functions of non-stationary subdivision schemes.•Family of fourth-order accurate, C2 cardinal Br-spline fundamental functions for interpolation.•Improvements on the Deslauriers-Dubuc interpolatory 4-point scheme.

论文关键词：Cardinal splines,Subdivision,Exponential polynomials,Interpolation,Generalized Bezout Equation

论文评审过程：Received 24 August 2020, Revised 26 November 2020, Accepted 4 February 2021, Available online 26 February 2021, Version of Record 26 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126071