傅立叶变换在磁共振成像技术中的应用及数学分析

Application and Mathematic Analysis of Fourier Transform in MRI Technique

傅立叶变换在MR成像技术的空间定位和重建过程中有着十分重要的作用。从高等数学的视角,对傅立叶级数、傅立叶变换的表达进行数学分析;以简单的方波函数举例说明了傅立叶变换在MR选层方面的具体应用。

Fourier Transform plays a very important part on spatialization and reconstruction of MRI. Advanced mathematic analysis makes us understand the concept of Fourier Progression and Fourier Transform, and some concrete applications of Fourier Transform on the MRI are listed.[Chinese Medical Equipment Journal,2008,29（12）：72-73]