In dynamic MRI, it is often difficult to achieve the acquisition speed required to resolve or freeze the temporal variations of the imaged object. Several MRI methods aim at speeding up the image acquisition process. Through assumptions and/or prior knowledge, these dynamic MRI methods allow part of the needed data to be calculated instead of acquired. For example, partial-Fourier imaging assumes that phase varies smoothly within the object, and parallel imaging (e.g., simultaneous acquisition of spatial harmonics (SMASH) and sensitivity encoding (SENSE)) uses prior knowledge about receiver-coil sensitivity. While these methods accelerate acquisition, they can introduce artifacts or amplify noise in doing so. The present work aims at accelerating image acquisition significantly, while introducing almost no artifacts or noise amplification. It is shown here that new, extra information is gained if dynamic MRI methods are modified so that the sampling function changes in specific ways from time-frame to time-frame. In other words, the set of In many magnetic resonance imaging (MRI) applications, a given region of the body is imaged repeatedly to capture its time variations. For example, such dynamic applications include functional MRI (fMRI) (where brain changes are induced by a time-varying paradigm), timeresolved angiography (changes in the blood vessels are caused by the passage of a bolus of contrast agent), and cardiac imaging (where the heart changes as it beats, and also possibly as a bolus of contrast agent passes through it). The temporal resolution, i.e., the time needed to acquire a time frame, must be good enough to capture the important features of the temporal changes. In the event that the readily available temporal resolution proves insufficient, there exist many dynamic MRI methods able to improve it. Through some assumption(s) and/or the use of prior information, these methods allow a fraction of the needed data to be calculated instead of measured. This reduction in the amount of acquired data usually translates directly into a corresponding reduction in the time needed to acquire it, i.e., into an improvement in temporal resolution. Although useful, the acceleration achieved with such methods is limited by artifacts and/or noise amplification. The present proposal consists of fusing existing methods (such as partial-Fourier imaging (1-3), simultaneous acquisition of spatial harmonics (SMASH) (4), and sensitivity encoding (SENSE) (5)) with a novel temporal strategy, very significantly improving their performance. This temporal strategy is based on a method called unaliasing by Fourier-encoding the overlaps in the temporal dimension (UNFOLD) (6).Very few dynamic imaging methods (e.g., periodically rotated overlapping parallel lines with enhanced reconstruction (PROPELLER) (7), time-resolved imaging of contrast kinetics (TRICKS) (8), and UNFOLD (6)) exploit the temporal dimension of the acquisition process, changing the sampling function from one time frame to the next. The present work involves m...