Neuroimaging methods with enhanced spatial resolution such as functional magnetic resonance imaging (FMRI) suggest that the subcortical striatum plays a critical role in human reward processing. Analysis of FMRI data requires several preprocessing steps, some of which entail tradeoffs. For instance, while spatial smoothing can enhance statistical power, it may also bias localization towards reg...

The light curves from a variety of celestial objects display aperiodic variations, often giving rise to red–noise components in their power spectra. Searching for a narrow power spectrum peak resulting from a periodic modulation over the frequency range in which these “coloured” noise components are dominant has proven a very complex task. Commonly used methods rely upon spectral smoothing or i...

For a number of computational purposes, including visualization, smooth surfaces are approximated by polyhedral surfaces. An inherent problem of these approximation algorithms is that the resulting polyhedral surfaces appear faceted. A signal processing approach to smoothing polyhedral surfaces was recently introduced [10, 11]. Within this framework surface smoothing corresponds to low-pass fil...