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FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS

Part of: Approximations and expansions Classical measure theory

Published online by Cambridge University Press:  26 February 2015

HUO-JUN RUAN  and
QIANG XU
HUO-JUN RUAN*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou, 310027, PR China email ruanhj@zju.edu.cn
QIANG XU
Affiliation:
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116, PR China email xuqiangwang@jsnu.edu.cn
*
✉ruanhj@zju.edu.cn
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Abstract

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In this paper, we present a general framework to construct fractal interpolation surfaces (FISs) on rectangular grids. Then we introduce bilinear FISs, which can be defined without any restriction on interpolation points and vertical scaling factors.

Keywords

fractal interpolation surfacesiterated function systemsvertical scaling factorsrectangular grids

MSC classification

Primary: 28A80: Fractals
Secondary: 41A30: Approximation by other special function classes
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 3 , June 2015 , pp. 435 - 446
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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