Curve and surface construction using Hermite subdivision schemes

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摘要

In this paper we present a very efficient Hermite subdivision scheme, based on rational functions, and outline its potential applications, with special emphasis on the construction of cubic-like B-splines — well suited for the design of constrained curves and surfaces.

论文关键词:65D05,65D17,Subdivision,Hermite interpolation,Shape preservation,Bézier form,B-splines,Tensor product,Boolean sum

论文评审过程:Received 11 January 2008, Revised 30 June 2008, Available online 4 March 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.02.096