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BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES

Part of: Approximations and expansions Classical measure theory

Published online by Cambridge University Press:  30 May 2018

QING-GE KONG Open the ORCID record for QING-GE KONG [Opens in a new window] ,
HUO-JUN RUAN Open the ORCID record for HUO-JUN RUAN [Opens in a new window]  and
SHENG ZHANG Open the ORCID record for SHENG ZHANG [Opens in a new window]
QING-GE KONG
Affiliation:
School of Mathematical Science, Zhejiang University, Hangzhou 310027, China email kongqingge@163.com
HUO-JUN RUAN*
Affiliation:
School of Mathematical Science, Zhejiang University, Hangzhou 310027, China email ruanhj@zju.edu.cn
SHENG ZHANG
Affiliation:
School of Mathematical Science, Zhejiang University, Hangzhou 310027, China Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA email zhan2694@purdue.edu
*
✉ruanhj@zju.edu.cn
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Abstract

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Bilinear fractal interpolation surfaces were introduced by Ruan and Xu in 2015. In this paper, we present the formula for their box dimension under certain constraint conditions.

Keywords

bilinear fractal interpolation surfacesbox dimensioniterated function systemsvertical scaling factors

MSC classification

Primary: 28A80: Fractals
Secondary: 41A30: Approximation by other special function classes
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 98 , Issue 1 , August 2018 , pp. 113 - 121
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

The research was supported in part by the NSFC grants 11271327, 11771391 and by ZJNSFC grant LR14A010001.

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