Undersampled dynamic X-ray tomography with dimension reduction Kalman filter

05/02/2018
by   Janne Hakkarainen, et al.
0

In this paper, we consider prior-based dimension reduction Kalman filter for undersampled dynamic X-ray tomography. With this method, the X-ray reconstructions are parameterized by a low-dimensional basis. Thus, the proposed method is a) computationally very light; and b) extremely robust as all the computations can be done explicitly. With real and simulated measurement data, we show that the method provides accurate reconstructions even with very limited number of angular directions.

READ FULL TEXT

page 9

page 10

page 11

page 12

page 13

research
01/04/2021

Kalman Filter from the Mutual Information Perspective

Kalman filter is a best linear unbiased state estimator. It is also comp...
research
06/20/2022

Reconstruction and segmentation from sparse sequential X-ray measurements of wood logs

In industrial applications it is common to scan objects on a moving conv...
research
10/28/2022

KD-EKF: A Kalman Decomposition Based Extended Kalman Filter for Multi-Robot Cooperative Localization

This paper investigates the consistency problem of EKF-based cooperative...
research
11/09/2019

A geometric based preprocessing for weighted ray transforms with applications in SPECT

In this work we investigate numerically the reconstruction approach prop...
research
01/22/2015

A Collaborative Kalman Filter for Time-Evolving Dyadic Processes

We present the collaborative Kalman filter (CKF), a dynamic model for co...
research
02/27/2020

Sparse dynamic tomography. A shearlet-based approach for iodine perfusion in plant stems

In this paper we propose a motion-aware variational approach to reconstr...

Please sign up or login with your details

Forgot password? Click here to reset