Chaos and Graphics: Best analogs for replacing missing image data

Authors:
Ning Chen;Clifford A. Reiter
Affiliations:
Faculty of Information & Control Engineering, Shenyang Jianzhu University, Shenyang 110168, China;Department of Mathematics, Lafayette College, Easton, PA 18042, USA
Venue:
Computers and Graphics
Year:
2007

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Fractals everywhere

Fractals everywhere
Fractal Image Encoding and Analysis

Fractal Image Encoding and Analysis
With J: fractal forecasting

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Abstract

Identifying the historical data that is the best analog with a pattern from which a forecast is sought allows time series data to be extrapolated. That technique of best analogs is most effective when the data contains underlying deterministic chaos. Here we apply similar techniques, modified to use two space dimensions instead of one time dimension, to fill-in and extrapolate missing image data. The technique is successful at replacing significant amounts of missing data with reasonable data derived from the image itself.