Underwater image modeling using multi-scale fractional lévy stable motion

Xutao Li; Lianwen Jin; Fuyuan Peng; Kun Zhao

doi:10.1117/12.744542

15 November 2007 Underwater image modeling using multi-scale Fractional Lévy Stable Motion

Xutao Li, Lianwen Jin, Fuyuan Peng, Kun Zhao

Proceedings Volume 6786, MIPPR 2007: Automatic Target Recognition and Image Analysis; and Multispectral Image Acquisition; 67860L (2007) https://doi.org/10.1117/12.744542
Event: International Symposium on Multispectral Image Processing and Pattern Recognition, 2007, Wuhan, China

Abstract

Fractal-based analysis provides an excellent explanation of the ruggedness of natural surface. Fractal-based description of image texture has been used effectively in characterization of natural scene. However, a real surface is not always so perfect that keep invariable self-similarity in whole scale space and it seems to be multi-scale. The present work focused on the modeling of underwater image. We analyzed the increment distribution and the self-similarity of several typical objects, and the results show that the traditional FBM model is not suitable for modeling such objects. And then one kind of self-similar stable process, Fractional Lévy Stable Motion (FLSM) is discussed. Based on FLSM, we proposed a new model, Multi-scale Fractional Lévy Stable Motion (MFLSM) in which the self-similarity parameter H (Δs) is a variable with respect to measure scale s. Furthermore such 2-D model is applied to model the scattering image. The simulation result shows that MFLSM represents the multi-scale self-similarity and the speckle of underwater optical imaging.

Citation Download Citation

Xutao Li, Lianwen Jin, Fuyuan Peng, and Kun Zhao "Underwater image modeling using multi-scale Fractional Lévy Stable Motion", Proc. SPIE 6786, MIPPR 2007: Automatic Target Recognition and Image Analysis; and Multispectral Image Acquisition, 67860L (15 November 2007); https://doi.org/10.1117/12.744542

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