Sparse Data Interpolation and Smoothing on Embedded Submanifolds
| العنوان: | Sparse Data Interpolation and Smoothing on Embedded Submanifolds |
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| المؤلفون: | Lars-Benjamin Maier |
| المصدر: | Journal of Scientific Computing. 84 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Numerical Analysis, Applied Mathematics, General Engineering, Univariate, Extrapolation, Directional derivative, Energy minimization, 01 natural sciences, Theoretical Computer Science, 010101 applied mathematics, Computational Mathematics, Tensor product, Computational Theory and Mathematics, Applied mathematics, 0101 mathematics, Software, Smoothing, Mathematics, Interpolation, Sparse matrix |
| الوصف: | Energy minimization is one of the properties that make univariate splines so favorable in many problems of approximation and estimation; interpolation in and extrapolation from sparse data sites and smoothing of noisy data in particular. In this paper, we present a novel approach to approximate energy minimization on certain classes of submanifolds that gives rise to new methods for extrapolation and smoothing on submanifolds. To accomplish this, we minimize intrinsic functionals approximately by minimising a suitable extrinsic formulation of the functional augmented by a penalty on the first order normal derivative. The general framework we develop is accompanied by error analysis and exemplified by tensor product B-splines. |
| تدمد: | 1573-7691 0885-7474 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::8091f67492724599cc5bdf7d1c6ca403Test https://doi.org/10.1007/s10915-020-01268-zTest |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........8091f67492724599cc5bdf7d1c6ca403 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15737691 08857474 |
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