Building blocks for designing arbitrarily smooth subdivision schemes with conic precision
作者：
Highlights：
• Non-stationary extension of Lane–Riesenfeld algorithm.
• New family of alternating primal/dual subdivision schemes reproducing conics.
• New family of non-stationary interpolatory 2n-point schemes reproducing conics.
• Explicit formulation and recurrence relations.
• Analysis of the main properties of the above families.
摘要
•Non-stationary extension of Lane–Riesenfeld algorithm.•New family of alternating primal/dual subdivision schemes reproducing conics.•New family of non-stationary interpolatory 2n-point schemes reproducing conics.•Explicit formulation and recurrence relations.•Analysis of the main properties of the above families.
论文关键词：Non-stationary subdivision,Exponential polynomial generation,Conic reproduction,Smoothness,Interpolation
论文评审过程：Received 4 March 2014, Revised 29 October 2014, Available online 6 November 2014.
论文官网地址：https://doi.org/10.1016/j.cam.2014.10.024
