Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cagd.2007.12.003 | Computer Aided Geometric Design |
Keywords | Field | DocType |
various application,sufficient condition,hermite interpolation,basic property,mean value coordinates,mean value weight function,transfinite interpolation,value interpolation,planar domain,transfinite hermite interpolant,weight function | Nearest-neighbor interpolation,Mathematical optimization,Spline interpolation,Interpolation,Stairstep interpolation,Transfinite interpolation,Transfinite number,Hermite interpolation,Birkhoff interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 1 | Computer Aided Geometric Design |
Citations | PageRank | References |
19 | 0.82 | 14 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christopher Dyken | 1 | 213 | 11.08 |
| Michael S. Floater | 2 | 1333 | 117.22 |