SMOOTHNESS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION SURFACES

DOI10.1142/S0218127409024098zbMath1176.28004arXiv0909.0602OpenAlexW3103318775MaRDI QIDQ3649639

Srijanani Anurag Prasad, G. P. Kapoor

Publication date: 4 December 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0602

zbMATH Keywords

interpolationcoalescencesmoothnessaffineIFSfractalFIS

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (12)

Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Riemann Liouville fractional integral of hidden variable fractal interpolation function ⋮ NATURAL CUBIC SPLINE COALESCENCE HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals ⋮ CONSTRUCTION OF FRACTAL SURFACES ⋮ Hidden variable bivariate fractal interpolation functions and errors on perturbations of function vertical scaling factors ⋮ BIVARIATE FRACTAL INTERPOLATION SURFACES: THEORY AND APPLICATIONS ⋮ Positive blending Hermite rational cubic spline fractal interpolation surfaces ⋮ Fractal interpolation surfaces with function vertical scaling factors ⋮ FRACTAL DIMENSION OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION SURFACE ⋮ Analytical properties of bivariate fractal interpolation functions with vertical scaling factor functions ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Cites Work

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• Fractal models of surface topography and contact mechanics
• The Minkowski dimension of the bivariate fractal interpolation surfaces
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• Fractal functions and interpolation
• Hölder exponents and box dimension for self-affine fractal functions
• Fractal interpolation surfaces and a related 2-D multiresolution analysis
• The smoothness and dimension of fractal interpolation functions
• The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
• BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS

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