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R. Preiner, O. Mattausch, M. Arikan, M. Wimmer et al.:
"Continuous Projection for Fast L1 Reconstruction";
ACM Transactions on Graphics (invited), 33 (2014), 4 (47); 1 - 13.

With better and faster acquisition devices comes a demand for fast robust reconstruction algorithms, but no L1-based technique has been fast enough for online use so far. In this paper, we present a novel continuous formulation of the weighted locally optimal projection (WLOP) operator based on a Gaussian mixture describing the input point density. Our method is up to 7 times faster than an optimized GPU implementation of WLOP, and achieves interactive frame rates for moderately sized point clouds. We give a comprehensive quality analysis showing that our continuous operator achieves a generally higher reconstruction quality than its discrete counterpart. Additionally, we show how to apply our continuous formulation to spherical mixtures of normal directions, to also achieve a fast robust normal reconstruction.

L1 reconstruction, dynamic reconstruction, upsampling, Hierarchical EM, Gaussian mixture, point set

http://dx.doi.org/10.1145/2601097.2601172