Generalization of Rician distribution for speckle pattern in ultrasound image processing and random flights problem in Shannon's signal space

概要

論文の詳細を見る
In the ultrasound diagnosis field, an analysis of speckle image texture in ultrasound B-scans in one on the important researches using stochastic signal processing method. In this paper, it is focused on finding out theoretically the probability density function of the speckle image texture for the magnitude of speckle image. First, the occurrence mechanism of speckle image texture is treated as a random walk problem in a multi-dimensional signal space based on Shannon's sampling theorem, by newly introducing a Hankel transformation type characteristic function. As a result, a unified probability density function expression has been explicitly proposed and it has been clarified that the present expression agrees with the well-known Rayleigh and Rician probability density functions as two special cases. Then, the legitimacy and the effectiveness of proposed stochastic analysis method has been experimentally confirmed by applying it to the speckle pattern of clinical B-scan image actually utilized for diagnostic purpose.
社団法人日本音響学会の論文