MRI spatial encoding using hypercomplex numbers
AssigneeCentre National de la Recherche Scientifique (CNRS)
InventorDenis Grenier
Life of this patent
Estimating the term…
Abstract
Processing a complex signal includes acquisition of a signal in the form of complex numbers; determination, on the basis of the complex signal acquired, of an associated hypercomplex signal having a component which is the complex signal and at least one component that is a time derivative of the phase of the required complex signal; processing of the hypercomplex signal so that the resulting signal from the processing comprises a greater number of components than the number of components of the acquired signal.
Claims4
A method for imaging an object according to a 2 D image comprising:
- generating a radiofrequency signal by a nuclear magnetic resonance device so that an object to be coded according to a 2 D image is exposed to a magnetic field;
- applying magnetic field gradients within the magnetic field according to two dimensions of the object to be coded;
- acquiring a complex signal during the application of the magnetic field gradients;
- determining, from the acquired complex signal, an associated hypercomplex signal, said associated hypercomplex signal being a function of the acquired complex signal, at least one component which is a time derivative of a phase of the acquired complex signal, and a 2 D vector;
- and
- processing of the thereby determined hypercomplex signal, the hypercomplex signal being a quaternion for obtaining the 2 D image coding of the object to be coded.
A method for imaging an object according to a 2 D image comprising:
- generating a radiofrequency signal by a nuclear magnetic resonance device so that an object to be coded according to a 2 D image is exposed to a magnetic field;
- applying magnetic field gradients within the magnetic field according to two dimensions of the object to be coded;
- acquiring a complex signal during the application of the magnetic field gradients;
- determining, from the acquired complex signal, an associated hypercomplex signal, said associated hypercomplex signal being a function of the acquired complex signal, and at least one component which is a time derivative of a phase of the acquired complex signal;
- and
- storing the associated hypercomplex signal as a quaternium, and
- retrieving and processing the stored associated complex signal to obtain the 2 D image.
Dependencies are inferred from the claim text.