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Flow measurement of incompressible fluid using divergence-free constraint

机译:使用无散度约束的不可压缩流体流量测量

摘要

A method and apparatus to reduce the noise in three- dimensional phase contrast magnetic resonance velocity measurements exploits the property that blood is incompressible and therefore the velocity field describing its flow must be divergence-free. The divergence-free condition can be incorporated by the projection operation on Hilbert space where the velocity measurements are projected onto the space of divergence-free velocity fields. The reduction of noise is achieved since the projection operation eliminates the noise component that is not divergence-free. Higher quality angiograms are produced due to the noise reduction in the velocity measurement signals.
机译:一种在三维相衬磁共振速度测量中降低噪声的方法和设备,利用了血液不可压缩的特性,因此描述其流动的速度场必须无散度。无散度条件可以通过希尔伯特空间上的投影操作来合并,希尔伯特空间中的速度测量值将投影到无散度速度场的空间上。由于投影操作消除了并非无散度的噪声分量,因此可以降低噪声。由于速度测量信号中的噪声减少,可以产生更高质量的血管造影照片。

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