Nuovi scenari sulle tecniche PMRI: il compressed sense

Abstract

This Project Work intends to illustrate the technique of Compressed Sense (CS), innovative method introduced in thefield of signal processing, which allows you to capture signals and images with far fewer samplings than “needed”,reducing scan times up to 50% and offering accurate and high resolution images.The Compressed Sense technique can be successfully applied for Imaging in Magnetic Resonance as it satisfies theproperties of sparsity and incoherent. One of the primary requirements of the CS is based on the use of particularmathematical bases, whose function will be to represent the sampled functions. Between these, the Wavelet basesare of considerable importance as they subdivide the data in question into components of different frequencies, andtherefore allow to study every component of the frequency spectrum with a resolution matched to its scale, such as,for example, those that are used in the encoding of images with the JPEG-2000. The Compressed Sense technique hasallowed us to overcome the intrinsic physical limits inherent in the matter, developing a technique that continues toevolve and expand, improving and refining.