关键词: 图像处理, 散射图像, 多尺度自相似性, 稳定过程

Abstract:

This paper analyzes the increment distribution and self-similarity of typical underwater images. In order to overcome the disadvantages of the traditional fractal Brownian motion （FBM） model, a muhi-seale fractional Lévy stable-motion （MFLSM） model is proposed based on the fractional Lévy stable-motion （FLSM） model, in which the self-similarity parameter of image surface is considered as a variable to vary with the measure scale. The model is then extended to a 2D space and is further employed to simulate underwater scattering images. The results show that the proposed MFLSM model represents the multi-scale self-similarity and the speckle of underwater optical images well.

Key words: image processing, scattering image, multi-scale self-similarity, stable process