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OverviewFractal 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. Full Product DetailsAuthor: Arya Kumar Bedabrata ChandPublisher: LAP Lambert Academic Publishing Imprint: LAP Lambert Academic Publishing Dimensions: Width: 15.20cm , Height: 1.00cm , Length: 22.90cm Weight: 0.249kg ISBN: 9783843361712ISBN 10: 3843361711 Pages: 164 Publication Date: 22 October 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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