循环分形插值曲面的构造与盒维数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2019-02-04 DOI:10.4171/JFG/105

Zhen Liang, H. Ruan

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引用次数: 9

摘要

本文给出了在矩形网格上构造循环分形插值曲面的一般框架。然后引入双线性rfi，该方法易于生成，且不受插值点和垂直缩放因子的限制。在一定的约束条件下，我们还得到了双线性rfi的盒维数，其中主要假设垂直标度因子在相容分区下具有均匀和。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction and box dimension of recurrent fractal interpolation surfaces

In this paper, we present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on rectangular grids. Then we introduce bilinear RFISs, which are easy to be generated while there are no restrictions on interpolation points and vertical scaling factors. We also obtain the box dimension of bilinear RFISs under certain constraints, where the main assumption is that vertical scaling factors have uniform sums under a compatible partition.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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