Fitting fractal surfaces on non-rectangular grids

M. A. Navascués

doi:10.1142/S0218348X08003910

2011-11-20

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M. A. Navascués *

María Victoria Sebastián

DOI：10.1142/S0218348X08003910

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摘要

En 中文

In a complex society, the visualization and interpretation of large amounts of data acquires an increasing importance. This can be done at once by means of two- or three-dimensional maps. To approach this problem, we undertake the construction of several variable fractal functions. In the first place, we introduce real fractal functions defined as perturbations of the classical ones. These basic mappings allow us to compute multidimensional approximations of experimental variables by means of linear combinations of products of fractal functions of Legendre type. The paper proposes a method of non-smooth representation for a large number of three-dimensional data on non-uniform grids. The procedures described are applied in the last part of the paper to the implementation of fitting maps for brain electrical activity.

Keyword:

fractal interpolation functions

Legendre polynomials

multivariant polynomial approximation