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• W2016505989 abstract "Two algorithms for solving the piecewise linear least–squares approximation problem of plane curves are presented. The first is for the case when the L 2 residual (error) norm in any segment is not to exceed a pre–assigned value. The second algorithm is for the case when the number of segments is given and a (balanced) L 2 residual norm solution is required. The given curve is first digitized and either algorithm is then applied to the discrete points. For each segment, we obtain the upper triangular matrix R in the QR factorization of the (augmented) coefficient matrix of the resulting system of linear equations. The least–squares solutions are calculated in terms of the R (and Q) matrices. The algorithms then work in an iterative manner by updating the least–squares solutions for the segments via up dating the R matrices. The calculation requires as little computational effort as possible. Numerical results and comments are given. This, in a way, is a tutorial paper." @default.
• W2016505989 created "2016-06-24" @default.
• W2016505989 creator A5085828837 @default.
• W2016505989 date "1990-07-01" @default.
• W2016505989 modified "2023-09-26" @default.
• W2016505989 title "Piece wise linear least–squares approximation of planar curves" @default.
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• W2016505989 doi "https://doi.org/10.1080/00207729008910460" @default.
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