Curve and surface construction using Hermite subdivision schemes

doi:10.1016/j.cam.2009.02.096

Journal of Computational and Applied Mathematics

Volume 233, Issue 7, 1 February 2010, Pages 1660-1673

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Abstract

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.

MSC

65D05

65D17

Keywords

Subdivision

Hermite interpolation

Shape preservation

Bézier form

B-splines

Tensor product

Boolean sum