Publications in Scientific Journals:
R. Preiner, O. Mattausch, M. Arikan, M. Wimmer et al.:
"Continuous Projection for Fast L1 Reconstruction";
ACM Transactions on Graphics (invited),
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
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.