Methods and apparatus for accelerated, motion-corrected high-resolution MRI employing internal detectors or MRI endoscopy

A method of internal MRI employing at least one active internal MRI detector located within a sample of interest. The method includes applying an MRI pulse sequence to the sample of interest. The MRI pulse sequence includes spatial encoding projections. The method further includes receiving MRI signals at the active internal MRI detector and reconstructing at least one MRI image from the MRI signals using an error minimizing algorithm. The MRI pulse sequence provides an increase in an acquisition speed when reconstructing the at least one MRI image by sparsely under-sampling an image k-space in at least one dimension.