Penumbral Imaging of X-Rays and Neutrons

One of the primary causes of blur in a high-energy X-ray imaging system is the shape and extent of the radiation source, or 'spot'. It is important to be able to quantify the size of the spot as it provides a lower bound on the recoverable resolution for a radiograph, and penumbral imaging methods -which involve the analysis of blur caused by a structured aperture -can be used to obtain the spot's spatial profile. We present a Bayesian approach for estimating the spot shape that, unlike variational methods, is robust to the initial choice of parameters. The posterior is obtained from a normal likelihood, which was constructed from a weighted least squares approximation to a Poisson noise model, and prior assumptions that enforce both smoothness and non-negativity constraints. A Markov chain Monte Carlo algorithm is used to obtain samples from the target posterior, and the reconstruction and uncertainty estimates are the computed mean and variance of the samples, respectively. Synthetic data-sets are used to demonstrate accurate reconstruction, while real data taken with high-energy X-ray imaging systems are used to demonstrate applicability and feasibility.

show abstract

A stochastic approach to quantifying the blur with uncertainty estimation for high-energy X-ray imaging systems

Fowler

Howard

Luttman

et al. 2015

Inverse Problems in Science and Engineering

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Penumbral Imaging of X-Rays and Neutrons

Cited by 1 publication

References 6 publications

A stochastic approach to quantifying the blur with uncertainty estimation for high-energy X-ray imaging systems

A stochastic approach to quantifying the blur with uncertainty estimation for high-energy X-ray imaging systems

Contact Info

Product

Resources

About