3 requirements for CS application

  • Transform Sparsity
  • Incoherence of undersampling artifacts
  • Nonlinear reconstruction

Sampling must be incoherent, (random ideally). 实际上,sampling trajectory 必须满足hardware和physiological constraints。Non-Cartesian sampling is highly sensitive to system imperfections.

uniform random sampling 不是在k-space上均匀采样,而应该考虑能量分布的uniform。所以应该是中心位置密一些,外围采样稀疏一些。

Measuring Incoherence

Applications of compressed sensing to MRI

Rapid 3D angiography