Extended- Kalman- filter based reconstruction approach to curved ray optical tomography

Abstract

We present an extended Kalman filter (EKF) based approach to the reconstruction problem in curved ray optical tomography. A state variable model describing the tomographic process is set up, and an EKF is applied to the model to estimate the refractive index distribution of an optically transparent refracting object from noisy optical path-length difference data. Preliminary results of reconstructions of a synthetic time-invariant refractive index distribution from projection data of various noise levels are comparable with those obtained from a typically used deterministic approach, the average correction per projection method