Resampling and reconstruction with fractal interpolation functions

Jeffery R. Price; Monson H. Hayes Hi

doi:10.1109/97.712106

Resampling and reconstruction with fractal interpolation functions

Jeffery R. Price
, Monson H. Hayes Hi

Manufacturing Systems Analytics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to employ the FIF for interpolation and permits its adaptation for reconstruction. Additionally, the alternate form of the FIF allows the construction of fractal functions whose piecewise integrals match observed data.

Original language	English
Pages (from-to)	228-230
Number of pages	3
Journal	IEEE Signal Processing Letters
Volume	5
Issue number	9
DOIs	https://doi.org/10.1109/97.712106
State	Published - 1998

Keywords

Fractal interpolation
Reconstruction

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10.1109/97.712106

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title = "Resampling and reconstruction with fractal interpolation functions",

abstract = "An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to employ the FIF for interpolation and permits its adaptation for reconstruction. Additionally, the alternate form of the FIF allows the construction of fractal functions whose piecewise integrals match observed data.",

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AU - Price, Jeffery R.

AU - Hayes Hi, Monson H.

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N2 - An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to employ the FIF for interpolation and permits its adaptation for reconstruction. Additionally, the alternate form of the FIF allows the construction of fractal functions whose piecewise integrals match observed data.

AB - An alternative form of the fractal interpolation function (FIF)-previously unmentioned in the signal processing literature-is noted. This form highlights a simple relationship between fractal and linear interpolation. Using this relationship, many FIF problems can be reduced to a matrix/vector expression. This expression provides a more powerful way to employ the FIF for interpolation and permits its adaptation for reconstruction. Additionally, the alternate form of the FIF allows the construction of fractal functions whose piecewise integrals match observed data.

KW - Fractal interpolation

KW - Reconstruction

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U2 - 10.1109/97.712106

DO - 10.1109/97.712106

M3 - Article

AN - SCOPUS:3142621887

SN - 1070-9908

VL - 5

SP - 228

EP - 230

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

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Resampling and reconstruction with fractal interpolation functions

Abstract

Keywords

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