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Performance Analysis for Magnetic Resonance Imaging With Nonlinear Encoding Fields

机译:具有非线性编码场的磁共振成像性能分析

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摘要

Nonlinear spatial encoding fields for magnetic resonance imaging (MRI) hold great promise to improve on the linear gradient approaches by, for example, enabling reduced imaging times. Imaging schemes that employ general nonlinear encoding fields are difficult to analyze using traditional measures. In particular, the resolution is spatially varying, characterized by a position-dependent point spread function (PSF). Likewise, the use of nonlinear encoding fields creates an additional spatial dependence on the signal-to-noise ratio (SNR). Although the two properties of resolution and SNR are linked, in this work we focus on the latter. To this end, we examine the pixel variance, which requires a computation that is often not feasible for nonlinear encoding schemes. This paper presents a general formulation for the performance analysis of imaging schemes using arbitrary encoding fields. The analysis leads to the derivation of a practical and computationally efficient performance metric, which is demonstrated through simulation examples.
机译:磁共振成像(MRI)的非线性空间编码字段有望通过减少成像时间来改善线性梯度方法。采用常规非线性编码场的成像方案很难使用传统方法进行分析。特别地,分辨率在空间上变化,其特征在于位置相关的点扩展函数(PSF)。同样,使用非线性编码字段会在信噪比(SNR)上产生额外的空间依赖性。尽管分辨率和SNR这两个属性是关联的,但在这项工作中,我们将重点放在后者上。为此,我们检查了像素方差,这需要进行非线性编码方案通常不可行的计算。本文提出了使用任意编码场进行成像方案性能分析的一般公式。通过分析得出了实用和计算有效的性能指标,通过仿真示例可以证明这一点。

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