Generalized B-splines’ geometric iterative fitting method with mutually different weights

作者: Li Zhang , Jieqing Tan , Xianyu Ge , Guo Zheng

DOI: 10.1016/J.CAM.2017.05.034

关键词:

摘要: Abstract In this paper, a novel geometric iterative fitting method is presented which has set of mutually different weights. It possesses the advantages least square progressive approximation (abbr. LSPIA method) can handle point sets large sizes and adjust number control points knot vector flexibly. The presenting degrades into with appropriate choices weights, it illustrates better effects for previous iteration steps comparing method. Also, further applied to generalized B-splines have changing core functions (the mentioned B-spline special generalization classical linear function). Combining choice much more complicated practical problems. Detailed discussion about choosing weights also given. Plentiful numerical examples are show effectiveness

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