Tight numerical bounds for digital terrain modeling by interpolatory subdivision schemes

DOI10.1016/J.MATCOM.2010.12.010zbMath1221.65069OpenAlexW1970166724MaRDI QIDQ554569

J. F. Reinoso, María Moncayo, Sergio Amat

Publication date: 4 August 2011

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.12.010

zbMATH Keywords

cartographynumerical resultsconvolutionerror boundscontrol polygoninterpolatory subdivision schemecontinuous surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Geodesy, mapping problems (86A30)

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Parallelizing drainage network algorithm using free software: octave as a solution

Cites Work

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• Exact error bounds for the reconstruction processes using interpolating wavelets
• A 4-point interpolatory subdivision scheme for curve design
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• \(l^\infty \)-stability for linear multiresolution algorithms: A new explicit approach. I: The basic rules and the Daubechies case
• Estimating error bounds for binary subdivision curves/surfaces
• Stationary subdivision

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