2018
DOI: 10.1155/2018/8641471
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The Application of a Complex Composite Fractal Interpolation Algorithm in the Seabed Terrain Simulation

Abstract: Seabed terrain modelling is one of the key technologies in the Subsea Environmental Information System, and this system is critical for underwater vehicle path planning. A composite fractal interpolation algorithm based on improved fractional Brownian motion (FBM) and an improved iterative function system (IFS) is proposed in this paper to increase the precision of the seabed terrain model for submarine topography and to account for the complexity and irregularity of fractal properties in each region. The MATL… Show more

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Cited by 3 publications
(2 citation statements)
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“…In early research endeavors, traditional interpolation methods such as optimal interpolation (OI), Kriging interpolation, and triangular mesh linear interpolation were extensively applied for the processing of ocean temperature and salinity data [5][6][7]. While these methods ameliorated the spatio-temporal distribution of the data, to some extent, they exhibited limitations when dealing with complex oceanic phenomena [8,9], such as the spurious information and discontinuities [10].…”
Section: Introductionmentioning
confidence: 99%
“…In early research endeavors, traditional interpolation methods such as optimal interpolation (OI), Kriging interpolation, and triangular mesh linear interpolation were extensively applied for the processing of ocean temperature and salinity data [5][6][7]. While these methods ameliorated the spatio-temporal distribution of the data, to some extent, they exhibited limitations when dealing with complex oceanic phenomena [8,9], such as the spurious information and discontinuities [10].…”
Section: Introductionmentioning
confidence: 99%
“…On this basis, a multi-dimensional fractal porous medium is developed by Türk et al [21] via associating the stochastic function following the statistical characteristics of FBM with the properties of porous media. As a typical stochastic fractal model, FBM has proved its outstanding value in various practical applications, including terrain reconstruction, [22] pollutant diffusion, [23] and picture processing. [24] Kikkinides et al [25] developed a binary medium generation method for generation of three-dimensional porous media based on the FBM model and validated its reliability by comparing the numerical predictions with the actual experiment for the permeability of the sandstone.…”
Section: Introductionmentioning
confidence: 99%