レーダ画像のフラクタル次元に関する統計的考察

概要

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Fractal dimension is the extension of integer dimension (lines are one dimension, planes are two dimensions, etc.) to real number and its value can provide a quantitative measure for complexity of figure shapes. In this paper, we use fractal dimension as the quantitative measure for complexity of radar echo distribution on radar images with the aim of putting the fractal dimension to good use in automatic gain control of received radar signals. For this aim, this paper addresses the problems of 1) clarifying the relationship between the fractal dimension of radar images and the gain level, and 2) formulating the fractal dimension. To solve these problems, the relationship is researched through the statistics from a lot of real radar images. As the result, we find that this relationship is monotone increasing. Moreover, we use the statistics in formulating the fractal dimension, discovering that the range of radar displays is one of significant parameters influencing the fractal dimension.
社団法人日本航海学会の論文
1992-03-25