Least square geometric iterative fitting method for generalized B-spline curves with two different kinds of weights
作者： Li Zhang , Xianyu Ge , Jieqing Tan
DOI: 10.1007/S00371-015-1170-3
关键词: Iterative proportional fitting 、 Monotone polygon 、 Iterative method 、 Mathematics 、 B-spline 、 Series (mathematics) 、 Stability (probability) 、 Data point 、 Applied mathematics 、 Limit (mathematics) 、 Discrete mathematics
摘要: Generalized B-spline bases are generated by monotone increasing and continuous "core" functions; thus generalized curves surfaces not only hold almost the same perfect properties which classical B-splines but also show more flexibility in practical applications. Geometric iterative method (also known as progressive approximation method) has good adaptability stability is popular due to its straight geometric meaning. However, method, number of control points that data points. It suitable when large numbers need be fitted. In order combine advantages with those a fresh least square fitting for given, two different kinds weights introduced. The develops series adjusting iteratively, limit curve weighted result given Detailed discussion about choosing core functions given. Plentiful numerical examples presented effectiveness method.
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