A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS: HIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS - Image 1

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LAP Lambert Academic Publishing A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS: HIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS

Name: A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS: HIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS
Brand: LAP Lambert Academic Publishing
Price: 61.0 GBP
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Geometry & Topology

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Fractal Interpolation Functions (FIF) and hidden variable FIF are used to approximate self-affine and non-self-affine objects respectively. To approximate, both type of data from a single IFS, the construction of Coalescence FIF is introduced. Their smoothness analysis is carried out through operator approximation. Results concerning on fractal dimension, stability and integral moment theory of Coalescence Affine FIFs are studied. Coalescence Bivariate Fractal Interpolation Surfaces (CBFIS) are developed in the present work by defining suitable vector-valued IFS. The effects of hidden variables on CBFIS and its roughness factors are also studied. The generalized spline FIF with any type of boundary conditions is introduced. The existence and methods of construction through moments and the convergence results of Cubic Spline FIFs are initiated in the present work. Coalescence Spline FIFs are introduced; their existence and method of construction are derived. Finally, Coalescence Cubic Spline FIFs are also constructed here through moments and their convergence results towards the original function are obtained.

Product Specifications

Brand: LAP Lambert Academic Publishing
Format: paperback
ASIN: 3843361711
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 22 October 2010
Listed Since: 26 October 2010

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LAP Lambert Academic Publishing A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS: HIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS

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LAP Lambert Academic Publishing A STUDY ON COALESCENCE AND SPLINE FRACTAL INTERPOLATION FUNCTIONS: HIDDEN VARIABLE BASED COALESCENCE FRACTAL INTERPOLATION FUNCTIONS AND GENERALIZED SPLINE FRACTAL INTERPOLATION FUNCTIONS

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