Dimensions of spline spaces over unconstricted triangulations
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摘要
One of the puzzlingly hard problems in Computer Aided Geometric Design and Approximation Theory is that of finding the dimension of the spline space of Cr piecewise degree n polynomials over a 2D triangulation Ω. We denote such spaces by Snr(Ω). In this note, we restrict Ω to have a special structure, namely to be unconstricted. This will allow for several exact dimension formulas.
论文关键词：Bivariate spline spaces,Dimensions,Minimal determining sets,Bernstein–Bézier form,Unconstricted triangulations
论文评审过程：Received 12 August 2004, Revised 18 May 2005, Available online 11 July 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2005.05.010
