Natural bicubic spline fractal interpolation |
| |
Authors: | A.K.B. Chand,M.A. Navascué s |
| |
Affiliation: | Departmento de Matemática Aplicada, Centro Politécnico Superior de Ingenieros, Universidad de Zaragoza, C/ María de Luna 3, Zaragoza 50018, Spain |
| |
Abstract: | Fractal Interpolation functions provide natural deterministic approximation of complex phenomena. Cardinal cubic splines are developed through moments (i.e. second derivative of the original function at mesh points). Using tensor product, bicubic spline fractal interpolants are constructed that successfully generalize classical natural bicubic splines. An upper bound of the difference between the natural cubic spline blended fractal interpolant and the original function is deduced. In addition, the convergence of natural bicubic fractal interpolation functions towards the original function providing the data is studied. |
| |
Keywords: | 28A80 65D05 65D07 65D10 65D17 |
本文献已被 ScienceDirect 等数据库收录! |
|