Reconstruction of MRI signal

1. What is reconstruction in MRI?
2. What is a signal change on an MRI?
3. What is analytical image reconstruction?
4. What is sparse reconstruction?

What is reconstruction in MRI?

In its most basic form, MRI reconstruction consists in retrieving a complex-valued image from its under-sampled Fourier coefficients. Besides, it can be addressed as a encoder-decoder task, in which the normative model in the latent space will only capture the relevant information without noise or corruptions.

What is a signal change on an MRI?

A change in MRI-measurable signal caused by changes in the amount of oxygenated hemoglobin available in the venous circulation of the brain. Oxygenated hemoglobin has a smaller magnetic susceptibility than deoxygenated hemoglobin.

What is analytical image reconstruction?

Analytic reconstruction methods offer a direct mathematical solution for the formation of an image. Iterative methods are based on a more complicated mathematical solution requiring multiple steps to arrive at an image.

What is sparse reconstruction?

Sparse reconstruction (including methods which fall under the terms constrained reconstructions, compressive sampling, and compressed sensing) is a set of techniques which uses image properties that are known a priori to reconstruct MR images from highly undersampled k-space data.