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The weighted GS-PIA algorithm for cubic B-spline curve interpolations and conve...

Liu, Zhongyun; Yang, Jian; Xu, Xiaofei; Lin, Mengzhu; Zhang, Yulin

The weighted Gauss-Seidel-progressive iterative approximation (WGS-PIA) algorithm for cubic B-spline curve interpolations is considered in this paper. The convergence of the WGS-PIA algorithm is analyzed, and an upper bound whichis strictly smaller than one for the contraction factor of this WGS-PIA algorithm is derived. It is shown that for cubic B-spline curve interpolations, the GS-PIA algorithm converges fa...


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