Fourier-Based Forward and Back-Projectors in Iterative Fan-Beam Tomographic Image Reconstruction

Fourier-based forward and back-projection methods have the potential to reduce computation demands in iterative tomographic image reconstruction. Interpolation errors are a limitation of conventional Fourier-based projectors. Recently, the min-max optimized Kaiser-Bessel interpolation within the nonuniform Fast Fourier transform (NUFFT) approach has been applied in parallel-beam image reconstruction, whose results show lower approximation errors than conventional interpolation methods. However, the extension of min-max NUFFT approach to fan-beam data has not been investigated. We have extended the min-max NUFFT framework to the fan-beam tomography case, using the relationship between the fan-beam projections and corresponding projections in parallel-beam geometry. Our studies show that the fan-beam Fourier-based forward and back-projection methods can significantly reduce computation time while still providing comparable accuracy to their space-based counterparts.

• Type: Conference
• Year: 2004
• Where: ISBI
• Authors: Yingying Zhang, Jeffrey A. Fessler
• Keywords: Conventional Interpolation Methods, ISBI 2004, Medical Imaging, Min-max Nufft Approach, Min-max Nufft Framework