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arXiv · 2004.06789

Fast Variable Density Poisson-Disc Sample Generation with Directional Variation

Nicholas Dwork·Corey A. Baron·Ethan M. I. Johnson·Daniel O'Connor·John M. Pauly·Peder E. Z. Larson
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Abstract

We present a fast method for generating random samples according to a variable density Poisson-disc distribution. A minimum threshold distance is used to create a background grid array for keeping track of those points that might affect any new candidate point; this reduces the number of conflicts that must be checked before acceptance of a new point, thus reducing the number of computations required. We demonstrate the algorithm's ability to generate variable density Poisson-disc sampling patterns according to a parameterized function, including patterns where the variations in density are a function of direction. We further show that these sampling patterns are appropriate for compressed sensing applications. Finally, we present a method to generate patterns with a specific acceleration rate.

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Nicholas Dwork, Corey A. Baron, Ethan M. I. Johnson, Daniel O'Connor, John M. Pauly, Peder E. Z. Larson. 2020-04-14. Fast Variable Density Poisson-Disc Sample Generation with Directional Variation. https://doi.org/10.1016/j.mri.2020.11.012

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