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Spline quasi-interpolation in the Bernstein basis and its application to digital elevation models
Authors:Francisco J Ariza-López  Domingo Barrera  Salah Eddargani  María José Ibáñez  Juan F Reinoso
Institution:1. Department of Cartographic, Geodesic and Photogrammetry Engineering, University of Jaén, Jaén, Spain;2. Department of Applied Mathematics, University of Granada, Granada, Spain;3. Department of Architectural and Engineering Graphic Expression, University of Granada, Granada, Spain
Abstract:A nonstandard low-cost spline approximation method for approximating bivariate functions is constructed. It is applied for Digital Elevation approximation and then its accuracy in the downscaling process is studied.
Keywords:altimetric error  Bernstein–Bézier coefficients  DEM  upscaling  downscaling  tensor product  quasi-interpolation
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