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Progressive iteration approximation and the geometric algorithm
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DOI：10.1016/j.cad.2011.01.018.png)
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Abstract
En 中文
Two recent tools for constructing interpolating curves and surfaces are the progressive iteration approximation (PIA) and the geometric algorithm. This communication has two main goals. On the one hand, we show that the proof of Theorem 1 of [5] on the convergence of the geometric algorithm is not correct. On the other hand, we clarify the difference between several variants of the PIA iterations by introducing the idea of preconditioned PIA iterations. (C) 2011 Elsevier Ltd. All rights reserved.
Keywords:
Progressive iteration approximation
Interpolation
Rational surfaces
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