Name
Abstract | ||
|---|---|---|
By using function vertical scaling factors, a method of construction for the fractal interpolation surfaces on a rectangular domain with arbitrary interpolation nodes is proposed. With the function vertical scaling factors, one class of iterated function systems are constructed. The existence of the unique invariant set of the iterated function system in R3 is proved. And it is also proved that, for special vertical scaling factors, the invariant set is the graph of a continuous bivariate function passing through the given interpolation nodes. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.aml.2012.02.059 | Applied Mathematics Letters |
Keywords | Field | DocType |
Function vertical scaling factors,Rectangular domain,Arbitrary interpolation nodes,Fractal interpolation surface | Nearest-neighbor interpolation,Polynomial interpolation,Spline interpolation,Mathematical analysis,Interpolation,Trilinear interpolation,Linear interpolation,Mathematics,Trigonometric interpolation,Bilinear interpolation | Journal |
Volume | Issue | ISSN |
25 | 11 | 0893-9659 |
Citations | PageRank | References |
2 | 0.48 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhigang Feng | 1 | 11 | 2.86 |
| Yizhuo Feng | 2 | 2 | 0.48 |
| Zhenyou Yuan | 3 | 2 | 0.48 |