The classic imaging geometry for computed tomography is for the collection of un-truncated
projections and the reconstruction of a global image, with the Fourier transform as the …

Since the advent of computerized tomography in the seventies, many imaging techniques
have emerged and have been introduced in radiology, science, and technology. Some of …

This text addresses the topics covered in ten lectures delivered by the author during the
2012 CBMS-NSF conference “Mathematical methods of computed tomography.” The goals …

This article provides an introduction to the mathematics behind X-ray tomography. After
explaining the mathematical model, we will consider some of the fundamental theoretical …

This chapter reviews metal artifact reduction (MAR) methods for low-dose cone-beam
computed tomography (CBCT). MAR is of vital significance because the number of aged …

Computed tomography (CT) entails the reconstruction of a function f from line integrals of f.
This mathematical problem is encountered in a growing number of diverse settings in …

One of the challenges for iterative image reconstruction (IIR) is that such algorithms solve an
imaging model implicitly, requiring a complete representation of the scanned subject within …

Metal streak artifacts in X‐ray computerized tomography (CT) are characterized here using
the notion of the wavefront set from microlocal analysis. The metal artifacts are caused …

Computed x-ray tomography entails the reconstruction of a density function f from line
integrals of f. Ordinary tomography is global since reconstruction at a point a requires …

We present a new local tomographic algorithm applicable to electron microscope
tomography. Our algorithm applies to the standard data acquisition method, single-axis …