Reinhold Preiner, Oliver Mattausch, Murat Arikan, Renato Pajarola, Michael Wimmer
Continuous Projection for Fast L1 Reconstruction
ACM Transactions on Graphics (Proc. of ACM SIGGRAPH 2014), 33(4):47:1-47:13, August 2014. [paper_small] [
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Project Page: https://www.cg.tuwien.ac.at/~preiner/projects/clop/
@article{preiner2014clop, title = "Continuous Projection for Fast L1 Reconstruction", author = "Reinhold Preiner and Oliver Mattausch and Murat Arikan and Renato Pajarola and Michael Wimmer", year = "2014", 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 reconstruction. Project Page: https://www.cg.tuwien.ac.at/~preiner/projects/clop/", month = aug, issn = "0730-0301", journal = "ACM Transactions on Graphics (Proc. of ACM SIGGRAPH 2014)", number = "4", volume = "33", pages = "47:1--47:13", keywords = "point set, Gaussian mixture, Hierarchical EM, upsampling, dynamic reconstruction, L1 reconstruction", URL = "https://www.cg.tuwien.ac.at/research/publications/2014/preiner2014clop/", }
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