Coalescence Cubic Spline Fractal Interpolation Surfaces.
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@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}
}
TY - JOUR
T1 - Coalescence Cubic Spline Fractal Interpolation Surfaces.
AU - ARYA KUMAR BEDABRATA CHAND
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 207
EP - 223
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/279.html
KW - Fractals
KW - Iterated Function System
KW - Fractal Interpolation Surface
KW - Cardinal Cubic Spline
KW - Hidden Variables
KW - CHFIS
KW - Non-self-affine and Surface Approximation
AB - 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.
ARYA KUMAR BEDABRATA CHAND. (2012). Coalescence Cubic Spline Fractal Interpolation Surfaces..
International Journal of Numerical Analysis Modeling Series B. 3 (3).
207-223.
doi:
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