Some observations on local least squares

DOI10.1007/s10543-006-0075-yzbMath1103.65041OpenAlexW2051958060MaRDI QIDQ2433879

Gene H. Golub, Richard H. Bartels, Faramarz F. Samavati

Publication date: 31 October 2006

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0075-y

zbMATH Keywords

data reductionB-splinesrefinementsubdivisionsgraphical examplesdata approximationmethod of averagesbiorthogonal multiresolutions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)

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Cites Work

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• A 4-point interpolatory subdivision scheme for curve design
• A practical guide to splines
• Reversing subdivision rules: Local linear conditions and observations on inner products
• A Generalization of the Method of Averages for Overdetermined Linear Systems
• Comparison of the Method of Averages with the Method of Least Squares
• Trimming for subdivision surfaces

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