关于循环分形插值函数的一些结果

Nanoscience and Nanotechnology Letters Pub Date : 2020-08-01 DOI:10.1166/NNL.2020.3198

Wadia Faid Hassan Al-shameri

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引用次数: 0

摘要

巴恩斯利（巴恩斯利，M.F.，1986年。分形函数和插值。施工。大约，2，第303–329页）引入了分形插值函数（FIF），其图是迭代函数系统（IFS）的吸引子，用于描述具有不规则或自相似结构的数据。Barnsley等人（Barnsley，M.F.等人，1989年。分形近似中的递归迭代函数系统。施工。大约，5，pp.3-31）递归分形插值函数（RFIF）形式的广义FIF，其图是递归迭代函数系统（RIFS）的吸引子，以拟合分段自仿射的数据集。本研究的主要目的是研究RFIF方法，并将其用于拟合中的分段自仿射数据集ℜ2.

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Some Results on Recurrent Fractal Interpolation Function

Barnsley (Barnsley, M.F., 1986. Fractal functions and interpolation. Constr. Approx., 2, pp.303–329) introduced fractal interpolation function (FIF) whose graph is the attractor of an iterated function system (IFS) for describing the data that have an irregular or self-similar structure. Barnsley et al. (Barnsley, M.F., et al., 1989. Recurrent iterated function systems in fractal approximation. Constr. Approx., 5, pp.3–31) generalized FIF in the form of recurrent fractal interpolation function (RFIF) whose graph is the attractor of a recurrent iterated function system (RIFS) to fit data set which is piece-wise self-affine. The primary aim of the present research is investigating the RFIF approach and using it for fitting the piece-wise self-affine data set in ℜ2.

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Nanoscience and Nanotechnology Letters Physical, Chemical & Earth Sciences-MATERIALS SCIENCE, MULTIDISCIPLINARY

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审稿时长

2.6 months