Parallel MRI

Parallel MRI"/>

Parallel MRI

Contents

• 4.1 Introduction
• 4.2 Parallel Imaging as an Inverse Problem .
• • 4.2.1Forward Model ………
  • 4.2.2Image Reconstruction ………
  • 4.2.3Regularization……
  • 4.2.4Discretization………………
  • 4.2.5Numerical Optimization …
• 4.3 Autocalibration ……
• • 4.3.1 Nonlinear Inverse Reconstruction .
  • 4.3.2 Calibration Matrix ………………………………
  • 4.3.3ESPIRiT………………………
  • 4.4 Sampling and reconstruction in k-space
  • 4.5 Compressed sensing Parallel Imaging
  • 4.6 Conclusion

4.1 Introduction

4.2 Parallel Imaging as an Inverse Problem .

4.2.1Forward Model ………

4.2.2Image Reconstruction ………

4.2.3Regularization……

4.2.4Discretization………………

4.2.5Numerical Optimization …

4.3 Autocalibration ……

4.3.1 Nonlinear Inverse Reconstruction .

4.3.2 Calibration Matrix ………………………………

4.3.3ESPIRiT………………………

4.4 Sampling and reconstruction in k-space

4.5 Compressed sensing Parallel Imaging

4.6 Conclusion