@Article{IJNAMB-3-207, author = {ARYA KUMAR BEDABRATA CHAND}, title = {Coalescence Cubic Spline Fractal Interpolation Surfaces.}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {3}, pages = {207--223}, abstract = {Fractal geometry provides a new insight to the approximation and modelling of scientific data.This paper presents the construction of coalescence cubic spline fractal interpolation surfaces over a rectangular grid D through the corresponding univariate basis of coalescence cubic fractal splines of Type-I or Type-II. Coalescence cubic spline fractal surfaces are self-affine or nonself- affine in nature depending on the iterated function systems parameters of these univariate fractal splines. Upper bounds of L_∞-norm of the errors between between a coalescence cubic spline fractal surface and an original function f ∈ C^4[D], and their derivatives are deduced. Finally, the effects of free variables, constrained free variables and hidden variables are discussed for coalescence cubic spline fractal interpolation surfaces through suitably chosen examples.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/279.html} }