Extended Kalman Filtering for Continuous Volumetric MR-Temperature Imaging

Extended Kalman Filtering by

Super-resolution for real-time volumetric MR temperature imaging

Recently, real time magnetic resonance (MR) thermometry has evolved into the method of choice for the guidance of non-invasive ablation modalities such as highintensity focused ultrasound (HIFU). For this role MR-thermometry should preferably have a high temporal and spatial resolution and allow observing the temperature over the entire target area with a high precision. This is in practice dif...

Computational Aspects of Continuous-Discrete Extended Kalman-Filtering

This paper elaborates how the time update of the continuous-discrete extended Kalman-Filter (EKF) can be computed in the most efficient way. The specific structure of the EKF-moment differential equations leads to a new Taylor-Heun-approximation of the nonlinear vector field. Furthermore, the order of consistency and stability behavior of the outlined procedure is investigated. The results are ...

Synchronization through Extended Kalman Filtering

We study the synchronization problem in discrete-time via an extended Kalman filter (EKF). That is, synchronization is obtained of transmitter and receiver dynamics in case the receiver is given via an extended Kalman filter that is driven by a noisy drive signal from the transmitter. Extensive computer simulations show that the filter is indeed suitable for synchronization of (noisy) chaotic t...

Continuous-Discrete Unscented Kalman Filtering

The unscented Kalman filter (UKF) is formulated for the continuous-discrete state space model. The exact moment equations are solved approximately by using the unscented transform (UT) and the measurement update is obtained by computing the normal correlation, again using the UT. In contrast to the usual treatment, the system and measurement noise sequences are included from the start and are n...