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CLOSING THE LOOP WITH FRACTAL INTERPOLATING FUNCTIONS FOR GEOPHYSICAL ENCODING

HUAI-HSIEN HUANG

Land, Air and Water Resources, University of California, Davis, One Shields Ave, Davis, CA 95616, USA

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CARLOS E. PUENTE

Land, Air and Water Resources, University of California, Davis, One Shields Ave, Davis, CA 95616, USA

Corresponding author.

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ANDREA CORTIS

ION GX Technology, Houston, TX 77042, USA

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, and

BELLIE SIVAKUMAR

Land, Air and Water Resources, University of California, Davis, One Shields Ave, Davis, CA 95616, USA

Department of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia

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https://doi.org/10.1142/S0218348X12500247Cited by:4 (Source: Crossref)

Abstract

Natural data sets, such as precipitation records, often contain geometries that are too complex to model in their totality with classical stochastic methods. In the past years, we have developed a promising deterministic geometric procedure, the fractal-multifractal (FM) method, capable of generating patterns as projections that share textures and other fine details of individual data sets, in addition to the usual statistics of interest. In this paper, we formulate an extension of the FM method around the concept of "closing the loop" by linking ends of two fractal interpolating functions and then test it on four geometrically distinct rainfall data sets to show that this generalization can provide excellent results.

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