title: Tomographic Reconstruction of Band-limited Hermite Expansions.
abstract: In this work, we investigate the parallel-beam projection and reconstruction of band-limited Hermite expansions. Using a recently developed coordinate conversion technique, we show how the Fourier slice theorem can be directly applied. In our new approach, we do not introduce a non-integrable filter that appears in the filtered backprojection method. Since a projection of a 2D band-limited Hermite expansion is a 1D band-limited Hermite expansion and the coordinate conversion technique is lossless with this special expansion, we can avoid a series of approximations that the classical tomography techniques make.
authors.affiliation: Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA.
authors.forename: Wooram
authors.initials: W
authors.lastname: Park
authors.affiliation: Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA.
authors.forename: Gregory S
authors.initials: GS
authors.lastname: Chirikjian
keywords: Hermite expansion; Parallel-beam tomography; polar-Cartesian interpolation