A study on coalescence and spline fractal interpolation functions

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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.

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Oorspronkelijke releasedatum: 22 oktober 2010

Aantal pagina's: 164

Hoofdauteur: Arya Kumar Bedabrata Chand

Hoofduitgeverij: Lap Lambert Academic Publishing

Product breedte: 152 mm

Product hoogte: 10 mm

Product lengte: 229 mm

Verpakking breedte: 152 mm

Verpakking hoogte: 10 mm

Verpakking lengte: 229 mm

Verpakkingsgewicht: 249 g

EAN: 9783843361712

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