FITTING CURVES BY FRACTAL INTERPOLATION: AN APPLICATION TO THE QUANTIFICATION OF COGNITIVE BRAIN PROCESSES

DOI10.1142/9789812702746_0011zbMath1191.92010OpenAlexW2324587811MaRDI QIDQ3576019

M. V. Sebastián, M. A. Navascués

Publication date: 28 July 2010

Published in: Thinking in Patterns (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812702746_0011

Mathematics Subject Classification ID

Neural biology (92C20) Biomedical imaging and signal processing (92C55) Cognitive psychology (91E10) Fractals (28A80)

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Surface Laplacian and fractal brain mapping ⋮ Natural bicubic spline fractal interpolation ⋮ FRACTAL BASES FOR BANACH SPACES OF SMOOTH FUNCTIONS ⋮ Approximation by shape preserving fractal functions with variable scalings ⋮ Parameter identification of 1D recurrent fractal interpolation functions with applications to imaging and signal processing ⋮ Curve Fitting by Fractal Interpolation ⋮ A FRACTAL APPROXIMATION TO PERIODICITY ⋮ FITTING FRACTAL SURFACES ON NON-RECTANGULAR GRIDS ⋮ Numerical integration of affine fractal functions ⋮ Graph-directed fractal interpolation functions ⋮ Smooth fractal interpolation ⋮ Monotonicity preserving rational quadratic fractal interpolation functions ⋮ Time domain indices and discrete power spectrum in electroencephalographic processing ⋮ Interpolation type iterated function systems ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION

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