Journal of the Acoustical Society of Japan (E)
Online ISSN : 2185-3509
Print ISSN : 0388-2861
ISSN-L : 0388-2861
Generalization of Rician distribution for speckle pattern in ultrasound image processing and random flights problem in Shannon's signal space
Mitsuo OhtaShigeharu MiyataNoboru Nakasako
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1992 年 13 巻 2 号 p. 101-113

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In the ultrasound diagnosis field, an analysis of speckle image texture in ultrasound B-scans is one of 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 mech anismof speckle image texture is treated as a random walk problem in a multi-dimen sionalsignal 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.
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