Ambient approximation on hypersurfaces

DOI10.1007/s00365-018-9419-5zbMath1407.41006OpenAlexW2789609358MaRDI QIDQ1755513

Xianqiang Yang

Publication date: 10 January 2019

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-018-9419-5

zbMATH Keywords

manifolddata compressionspline approximationquasi-interpolationmultivariate splineimplicit surfaceclosest point representationlocal approximation order

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (3)

Estimation of a regression function on a manifold by fully connected deep neural networks ⋮ Ambient residual penalty approximation of partial differential equations on embedded submanifolds ⋮ Ambient approximation on embedded submanifolds

Cites Work

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• Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
• Spherical Splines for Data Interpolation and Fitting
• Equivalent Norms for Sobolev Spaces

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