Transfinite mean value interpolation
| Autor: | Christopher Dyken, Michael S. Floater |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Mathematical analysis
Transfinite interpolation Aerospace Engineering Stairstep interpolation Birkhoff interpolation Computer Graphics and Computer-Aided Design Nearest-neighbor interpolation Hermite interpolation Modeling and Simulation Automotive Engineering Applied mathematics Spline interpolation Transfinite number Interpolation Mathematics |
| Zdroj: | Computer Aided Geometric Design. 26:117-134 |
| ISSN: | 0167-8396 |
| DOI: | 10.1016/j.cagd.2007.12.003 |
| Popis: | Transfinite mean value interpolation has recently emerged as a simple and robust way to interpolate a function f defined on the boundary of a planar domain. In this paper we study basic properties of the interpolant, including sufficient conditions on the boundary of the domain to guarantee interpolation when f is continuous. Then, by deriving the normal derivative of the interpolant and of a mean value weight function, we construct a transfinite Hermite interpolant and discuss various applications. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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