On Reconstruction from Non-uniform Spectral Data

This paper addresses the reconstruction of compactly supported functions from non-uniform samples of their Fourier transform. We briefly investigate the consequences of acquiring non-uniform spectral data. We summarize two often applied reconstruction methods, convolutional gridding and uniform re-sampling, and investigate the reconstruction accuracy as it relates to sampling density. Finally, we provide preliminary results from employing spectral re-projection methods in the reconstruction. Keywords non-harmonic Fourier reconstruction

• Type: Journal
• Year: 2010
• Where: JSCIC
• Authors: Adityavikram Viswanathan, Anne Gelb, Douglas Cochran, Rosemary A. Renaut
• Keywords: Convolutional Gridding, JSCIC 2010, Non-uniform Spectral Data, Spectral Re-projection