Parameter identification of 1D recurrent fractal interpolation functions with applications to imaging and signal processing

DOI10.1007/s10851-010-0253-zzbMath1255.68194OpenAlexW2068778806MaRDI QIDQ1932850

Polychronis Manousopoulos, Theoharis Theoharis, Vassileios Drakopoulos

Publication date: 22 January 2013

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-010-0253-z

zbMATH Keywords

Hausdorff metricsymmetric difference metricbox-counting dimensionfractal interpolationrecurrent iterated function systemvertical scaling factor

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical interpolation (65D05)

Related Items (7)

\( H^\beta\)-Hausdorff functions and common fixed points of multivalued operators in a \(b\)-metric space and their applications ⋮ Unnamed Item ⋮ Simulation and modeling of diffraction pattern of crystallography: a fractal approach ⋮ On some qualitative analysis for a new class of fractal interpolants ⋮ Fractal interpolation functions with partial self similarity ⋮ AUTOCOVARIANCE AND INCREMENTS OF DEVIATION OF FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATASETS ⋮ On the bounds of scaling factors of affine fractal interpolation functions

Cites Work

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• Ten Lectures on Wavelets
• Using iterated function systems to model discrete sequences
• A HYBRID ALGORITHM FOR THE SOLUTION OF THE INVERSE PROBLEM IN FRACTAL INTERPOLATION
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