A Statistical Detection of an Anomaly from a Few Noisy Tomographic Projections

A Statistical Detection of an Anomaly from a Few Noisy Tomographic Projections

The problem of detecting an anomaly/target from a very limited number of noisy tomographic projections is addressed from the statistical point of view. The imaged object is composed of an environment, considered as a nuisance parameter, with a possibly hidden anomaly/target. The GLR test is used to solve the problem. When the projection linearly depends on the nuisance parameters, the GLR test ...

A statistical detection of an anomaly/target from noisy tomographic projections

The problem of detecting an anomaly/target from a limited number of noisy tomographic projections is addressed from the statistical point of view. We study an unknown two-dimensional scene composed of an environment, considered as a nuisance parameter set, with a possibly hidden anomaly/target. An optimal statistical invariant test is proposed to solve such a problem.

Detectability of Anomalies from a Few Noisy Tomographic Projections

The problem of detecting an anomaly from a limited number of noisy tomographic projections is addressed from the statistical point of view. An unknown two (or three)-dimensional scene is composed of a background, considered as a nuisance parameter, with a possibly hidden anomaly. A parametric approach is proposed to reduce the lack of a priori information and an optimal test is designed. To dec...

Tomographic Reconstruction of Label Images from a Few Projections

Tomographic Reconstruction of Images from Noisy Projections - A Preliminary Study

Although Computed Tomography (CT) is a mature discipline, the development of techniques that will further reduce radiation dose are still essential. This paper makes steps towards projection and reconstruction methods which aim to assist in the reduction of this dosage, by studying the way noise propagates from projection space to image space. Inference methods Maximum Likelihood Estimation (ML...