Refinability of splines derived from regular tessellations
نویسنده
چکیده
Splines can be constructed by convolving the indicator function of a cell whose shifts tessellate Rn. This paper presents simple, geometric criteria that imply that, for regular shift-invariant tessellations, only a small subset of such spline families yield nested spaces: primarily the well-known tensor-product and box splines. Among the many nonrefinable constructions are hex-splines and their generalization to the Voronoi cells of non-Cartesian root lattices.
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 31 شماره
صفحات -
تاریخ انتشار 2014