Abstract: A system for rigid motion correction for magnetic resonance imaging (MRI) of a subject includes an input for receiving motion corrupted k-space data for the subject acquired using an MRI system, a motion parameter estimation module coupled to the input and configured to estimate motion parameters based on the motion corrupted k-space data, a motion correction neural network coupled to the input and the motion parameter estimation module and configured to generate motion corrected k-space data based on the motion corrupted k-space data and the estimated motion parameters, and a reconstruction module coupled to the motion correction neural network and configured to generate a motion corrected image from the motion corrected k-space data.

Abstract: A control system, for example for an optical system, includes: an actuating element; a measuring element for acquiring actuating element measurement data of the actuating element; a regulating unit for generating a regulating signal for regulating the actuating element depending on the acquired actuating element meas-urement data; and a state monitoring unit for monitoring a state of the control system depending on the acquired actuating element measurement data. The state monitoring unit includes: a first processing unit for generating preprocessed state data depending on (i) the acquired actuating element measurement data and a physical model and/or a mathematical model of the actuating element, or (ii) the acquired actuating element measurement data, a physical model and/or a mathematical model of the actuating element and the generated regulating signal; and a second processing unit for determining the state of the control system depending on the preprocessed state data.

Abstract: A control system, for example for an optical system, includes: an actuating element; a measuring element for acquiring actuating element measurement data of the actuating element; a regulating unit for generating a regulating signal for regulating the actuating element depending on the acquired actuating element meas-urement data; and a state monitoring unit for monitoring a state of the control system depending on the acquired actuating element measurement data. The state monitoring unit includes: a first processing unit for generating preprocessed state data depending on (i) the acquired actuating element measurement data and a physical model and/or a mathematical model of the actuating element, or (ii) the acquired actuating element measurement data, a physical model and/or a mathematical model of the actuating element and the generated regulating signal; and a second processing unit for determining the state of the control system depending on the preprocessed state data.