title = "Continuous Projection for Fast L1 Reconstruction",
  author = "Reinhold Preiner and Oliver Mattausch and Murat Arikan and Renato Pajarola and Michael Wimmer",
  journal = "ACM Transactions on Graphics",
  volume = {33},
  number = {4},
  month = jul,
  year = {2014},
  issn = {0730-0301},
  pages = {47:1--47:13},
  articleno = {47},
  numpages = {13},
  event = "ACM SIGGRAPH 2014",
  organization = "ACM SIGGRAPH",
  publisher = "ACM",
  location = "Vancouver",
  keywords = "L1 reconstruction, dynamic reconstruction, upsampling, HEM, point set, Gaussian mixture",
  abstract =   "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