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 …

Fourier-based forward and back-projection methods can reduce computation in iterative
tomographic image reconstruction. Recently, an optimized nonuniform fast Fourier transform …

Three-dimensional visualization of material composition within multiple grains and across
complex networks of grain boundaries at nanoscales can provide new insight into the …

Tomographic volumetric additive manufacturing is a rapidly growing fabrication technology
that enables rapid production of 3D objects through a single build step. In this process, the …

This paper proposes an iterative technique to reconstruct the source term in transport
equations, which account for scattering effects, from boundary measurements. In the two …

This paper deals with the reconstruction and the redundancy of the two-dimensional
attenuated Radon transform (AtRT). When full measurements are available, we characterize …

This paper summarizes some of the old results obtained for the problems of inverting the two-
dimensional attenuated X-ray transform and the attenuated vectorial X-ray transform, both …

Two-step regularization methods for linear inverse problems Page 1 J. Inv. Ill-Posed
Problems, Vol. 14, No. 6, pp. 583–607 (2006) c VSP 2006 Two-step regularization methods for …

Tomography is the mathematical process of imaging an object via a set of finite slices. In
medical imaging, these slices are defined by multiple parallel X-ray beams shot through the …

We present the attenuated spline reconstruction technique (aSRT) which provides an
innovative algorithm for single photon emission computed tomography (SPECT) image …